Bibliography
This is an automatically generated bibliography describing the content of this study carrel.
- cubo-1137
- author: Abbas, Saïd; Benchohra, Mouffak; Lazreg, Jamal-Eddine; N’Guérékata, Gaston M.
- title: Hilfer and Hadamard functional random fractional differential inclusions
- date: 2017-03-01
- words: 7891
- flesch: 80
- summary: The Caputo fractional derivative of order r ∈ (0, 1] of a function w ∈ AC(I) is defined by (cDr0w)(t) = ! ∈ [0, 1], γ = α + β − αβ, and w ∈ L1(I).
- keywords: a.e; abbas; benchohra; continuous; convex; cubo; definition; derivative; differential; equations; existence; exists; f(t; following; fractional; function; g(t; generalized; hadamard; hilfer; hyers; inclusions; integral; math; measurable; multivalued; n(w)u; n’guérékata; operator; order; point; problem; random; rassias; set; solution; space; stability; stable; theorem; tγ−1; u(t; u(w; ulam; v(t; w)(t; γ(1; γ(α; γ(γ; φ(w
- versions: original; plain text
- cubo-1139
- author: Rosas, E.; Carpintero, C.; Salas, M.; Sanabria, J.; Vásquez, L.
- title: Almost ω-continuous functions defined by ω-open sets due to Arhangel’ski ̆ı
- date: 2017-03-01
- words: 7168
- flesch: 88
- summary: The set of all ω-open sets of (X,τ) containing a point x ∈ X is denoted by ωO(X, x). A point x ∈ X is called a condensation point of A if for each U ∈ τ with x ∈ U, the set U ∩ A is uncountable.
- keywords: closed; continuous; definition; f(u; f(x; following; function; f−1(v; int(cl(v; open; open set; point; proof; regular; sense; set; sets; subset; theorem; topology; u ∈; weakly; ωo(x
- versions: original; plain text
- cubo-1142
- author: Antón Marval, Gabriel M.; Castillo, René E.; Ramos-Fernández, Julio C.
- title: Maximal functions and properties of the weighted composition operators acting on the Korenblum, α-Bloch and α-Zygmund spaces
- date: 2017-03-01
- words: 5263
- flesch: 78
- summary: The case of weighted composition operators acting on cer- tain growth spaces We consider first the case of weighted composition operators Wu,φ from H ∞ vlog to H∞ β . A similar result for weighted composition operators from Hardy spaces into logarithmic Bloch spaces was obtained by Colonna and Li in [8].
- keywords: analytic; a∈d; banach; bloch; compact; compactness; composition; composition operators; continuity; continuous; cubo; fernández; functions; holomorphic; lim; math; maximal; new; operators; properties; ramos; result; spaces; sup; theorem; vlog; weighted
- versions: original; plain text
- cubo-1143
- author: Dragomir, S. S.; Boldea, M. V.; Megan, M.
- title: Inequalities for Chebyshev functional in Banach algebras
- date: 2017-03-01
- words: 7778
- flesch: 87
- summary: Using (3.7) and (3.8) we have K (i) = P̄i ⎛ ⎝Pi+1ai+1 − i+1∑ j=1 pjaj ⎞ ⎠ + Pi ⎛ ⎝ n−1∑ j=i+1 pj+1aj+1 − P̄i+1ai+1 ⎞ ⎠ = P̄iPi+1ai+1 − PiP̄i+1ai+1 − P̄i i+1∑ j=1 pjaj + Pi n−1∑ j=i+1 pj+1aj+1 = [(Pn − Pi) Pi+1 − Pi (Pn − Pi+1)] ai+1 + Pi n−1∑ j=i+1 pj+1aj+1 − P̄i i+1∑ j=1 pjaj 62 S. S. Dragomir, M. V. Boldea, M. Megan CUBO 19, 1 (2017) If we define Pi := i∑ k=1 pk, P̄i := Pn − Pi, i ∈ {1, ..., n − 1} , Ai (p) := i∑ k=1 pkak, Āi (p) := An (p) − Ai (p) , i ∈ {1, ..., n − 1} , then we have the identity Tn (p; a, b) = n−1∑ i=1 det ( Pi Pn Ai (p) An (p) ) ∆bi (3.3)
- keywords: 1≤i≤n−1; = ∣; algebras; appl; banach; boldea; chebyshev; cubo; det; dragomir; exp; functional; grüss; i=0; i=1; identity; inequalities; inequality; j=1; k=1; math; max; max1≤i≤n−1; megan; min{i; n∑ i=1; n−1∑; power; proof; p̄i; s. s.; series; spaces; šev; theorem; type; |pk|; ∣ =; ∣ ∣; ∣p̄max{i; ∥ q)1; ∥ ∥; ∥tn; ∥y∥; ∥∆ai∥; ∥∆bi∥
- versions: original; plain text
- cubo-1144
- author: Venkatesha; G., Divyashree
- title: Three dimensional f-Kenmotsu manifold satisfying certain curvature conditions
- date: 2017-03-01
- words: 2490
- flesch: 82
- summary: From the above relation it follows that R(X, Y)R(U, V)W − R(R(X, Y)U, V)W − R(U, R(X, Y)V)W (5.2) −R(U, V)R(X, Y)W = fR[(X ∧g Y)R(U, V)W − R((X ∧g Y)U, V)W −R(U, (X ∧g Y)V)W On substituting X = U = ξ and using (2.10) and (2.12), (7.2) reduces to −(f2 + f′)[(f2 + f′)g(V, W)Y + R(Y, V)W − (f2 + f′)g(Y, W)V] (7.3) = f[(f2 + f′)S(Y, V)η(W)ξ − 2(f2 + f′)2g(V, W)Y − 2(f2 + f′)R(Y, V)W
- keywords: contact; cosymplectic; cubo; cyclic; dimensional; g(x; g(y; kenmotsu; kenmotsu manifold; manifold; pseudosymmetric; r(x; ricci; tensor; v)w; χ(mn
- versions: original; plain text
- cubo-1145
- author: Singh, Vikram; Pandey, Dwijendra N
- title: Weighted pseudo Almost periodic solutions for fractional order stochastic impulsive differential equations
- date: 2017-03-01
- words: 8388
- flesch: 87
- summary: − t1)y1 + ∫t t0 (t − s)α−1J (t − s)G(s, y(s))ds + ∫ t t0 (t − s)α−1J (t − s)F(s, y(s), ∫ s −∞ K(s − ξ)g(ξ, y(ξ))dξ)dw(s), t ∈ (t1, t2]; ... + ∫ t t0 (t − s)α−1J (t − s)G(s, y(s))ds + ∫ t t0 (t − s)α−1J (t − s)F(s, y(s), ∫ s −∞ K(s − ξ)g(ξ, y(ξ))dξ)dw(s), t ∈ (tk, tk+1], (3.1) where I(t) = ∫ ∞ 0 Nα(θ)S(t αθ)dθ, J (t) = α ∫ ∞ 0 θNα(θ)S(t αθ)dθ, and for θ ∈ (0, ∞) Nα(θ) = 1 α θ−1− 1 α ωα(θ − 1 α ) ≥ 0, ωα(θ)
- keywords: 2(p; anal; aσi(t; cubo; d(aσ; definition; denote; differential; dwijendra; equations; existence; fractional; functions; g(t; impulsive; k(t; l2(p; lemma; lim; math; mean; mild; nα(θ; operator; order; pandey; pc(r; periodic; piecewise; processes; pseudo; s)g(s; s)α−1j; sequence; set; singh; solutions; space; square; stochastic; system; theorem; vikram; weighted; wpapρ(r; y(t; z(t; µ(γ; λ(2−2σ; ρ(t)dt; ∈ papρ(r; ∈ r; − s
- versions: original; plain text
- cubo-1147
- author: Tunc, Cemil
- title: Instability to vector lienard equation with multiple delays
- date: 2015-03-01
- words: 2196
- flesch: 80
- summary: Making Y = X ′ in equation (1.1), we obtain X ′ = Y, Y ′ = −F(X, Y) − G(X) = x(t + s), −r ≤ s ≤ 0, t ≥ 0.
- keywords: constant; cubo; delays; differential; equation; i=1; instability; krasovskii; lienard; lyapunov; multiple; solution; tunc; vector; ∣ ∣
- versions: original; plain text
- cubo-1148
- author: Chadha, Alka; Pandey, Dwijendra N
- title: Periodic BVP for a class of nonlinear differential equation with a deviated argument and integrable impulses
- date: 2015-03-01
- words: 6078
- flesch: 84
- summary: − Q2(τ1)‖ ≤ H(τ2 − τ1) 2 + H (τ2 − τ1) 2 2 . (3.51) For τ2, τ1 ∈ (sm, tm+1], m = 1, · · · , δ with τ2 > τ1, ‖Q2(τ2) − Q2(τ1)‖ ≤ H(τ2 − τ1) 2 + H (τ2 − τ1) 2 2 .
- keywords: 1.1)-(1.3; banach; boundary; bvp; chadha; class; conditions; continuous; contraction; cubo; differential; equations; existence; f(s; following; fractional; function; gm(s; gδ(s; impulsive; m=1; map; max; mild; nonlinear; order; pandey; periodic; point; problem; s)]))ds; s)f(s; solution; space; step; system; theorem; theory; tm+1; u ∈; u([h(u(s; u(s; u(s))ds; u(t; ∫sδ
- versions: original; plain text
- cubo-1149
- author: Rostamani, Mohadeseh; Hejazian, Shirin
- title: Maps preserving Fredholm or semi-Fredholm elements relative to some ideal
- date: 2015-03-01
- words: 5531
- flesch: 78
- summary: Since θ is surjective up to the inessential ideal, there exist x ∈ A and y ∈ I(B) such that b = θ(x) Since θ is surjective up to the inessential ideal I(B), 34 Mohadeseh Rostamani & Shirin Hejazian CUBO 17, 1 (2015) there exist u′ ∈ A and x′ ∈ I(B) such that u = θ(u′)+x′.
- keywords: algebra; banach; calkin; cr(a; cr(b; cubo; directions; elements; finite; fredholm; fredholm elements; i(a; i(b; ideal; inessential; invertible; isomorphism; jordan; left; lemma; linear; map; maps; preserving; proof; relative; right; semi; set; sets; spectral; spectrum; surjective; theorem; unital; θ(1; θ(i(a
- versions: original; plain text
- cubo-1150
- author: Verma, Ram U.
- title: Hybrid (Φ,Ψ,ρ,ζ,θ)−invexity frameworks and efficiency conditions for multiobjective fractional programming problems
- date: 2015-03-01
- words: 8020
- flesch: 80
- summary: A point x∗ ∈ Q is an efficient solution to (P) if there exists no x ∈ Q such that fi(x) gi(x) ≤ fi(x ∗) gi(x ∗) Let x∗ ∈ Q, let fi, gi for i ∈ {1, · · ·, p} with fi(x ∗ ) gi(x ∗) ≥ 0, gi(x ∗) > 0 and Hj for j ∈ {1, · · ·, m} be twice continuously differentiable at x∗ ∈ Q, and let there exist u∗
- keywords: conditions; cubo; differentiable; duality; efficiency; fi(x; fractional; functions; generalized; gi(x; hj(x ∗; hybrid; invex; invexity; j=1v ∗; multiobjective; order; problems; programming; ren; second; verma; x∗)‖2; x∗)‖θ(x; ζ(x; ρ(x; σmj=1v; ∗ j; ∗ ∈; ∗)z
- versions: original; plain text
- cubo-1151
- author: Anastassiou, George A.
- title: Spline left fractional monotone approximation involving left fractional differential operators
- date: 2015-03-01
- words: 2964
- flesch: 94
- summary: + 2j−αj Γ (j − αj + 1) C∗2 nσ−j−1 ωm−σ+1 ( f(σ−1), 1 n ) = C∗2ωm−σ+1 ( f(σ−1), 1 n ) k∑ j=h l j 2 j−α j Γ ( j − α j + 1 ) 1 nσ−j−1 · (28) ( h−j∑ λ=0 2h−αj−λ λ!Γ (h − αj − λ + 2j−αj Γ (j − αj + 1) 1 nσ−j−1 ] ≤ C∗2ωm−σ+1 ( f(σ−1), 1 n ) 1 nσ−k−1 k∑ j=h l j 2j−αj Γ ( j − α j + 1 ) · (29) ( h−j∑ λ=0 2h−αj−λ λ!Γ (h − αj − λ
- keywords: c∗2; f(σ−1; j −; nσ−j−1; ωm−σ+1; ∗−1; ∣ ∣
- versions: original; plain text
- cubo-1152
- author: Sanabria, José; Acosta, Edumer; Carpintero, Carlos; Rosas, Ennis
- title: Continuity via ΛsI-open sets
- date: 2015-03-01
- words: 4949
- flesch: 82
- summary: Given an ideal I on a topological space (X, τ), a subset A ⊂ X is said to be ΛsI-closed if A = U ∩ F where U is a Λ s I-set and F is a τ⋆-closed set. (1) ⇒ (3) Let x ∈ X and V any open set in (Y, σ) such that f(x)
- keywords: closed; compact; connected; continuous; function; ideal; irresolute; open; proof; quasi; semi; set; sets; space; topological; λ s; λsi
- versions: original; plain text
- cubo-1153
- author: Aghajani, A.; O'Regan, D.; Shole Haghighi, A.
- title: Measure of noncompactness on Lp(RN) and applications
- date: 2015-03-01
- words: 4044
- flesch: 89
- summary: Let us choose u ∈ X and for x,h ∈ BT with ‖h‖RN ≤ ǫ, we have |(Fu)(x) − (Fu)(x + h)| ≤ ∣ ∣ ∣ f(x,u(x)) A mapping µ : ME −→ R+ is said to be a measure of noncompactness in E if it satisfies the following conditions: 1◦ The family kerµ = {X ∈ ME : µ(X) = 0} is nonempty and kerµ ⊆ NE.
- keywords: aghajani; applications; conditions; cubo; equation; f(x; functional; haghighi; integral; k(x; lim; lp(rn; measure; noncompactness; nonlinear; point; satisfies; shole; solutions; space; theorem; u(x; µ(x; ‖x‖lp(rn\bt
- versions: original; plain text
- cubo-1154
- author: Banerjee, Amar Kumar; Saha, Pratap Kumar
- title: Semi Open sets in bispaces
- date: 2015-03-01
- words: 3935
- flesch: 87
- summary: Keywords and Phrases: bispaces, semi open sets, τ1 semi open sets with respect to τ2. 2010 AMS Mathematics Subject Classification: 54A05, 54E55, 54E99 100 Amar Kumar Banerjee & Pratap Kumar Saha CUBO 17, 1 (2015) 1 Introduction The notion of a σ space or simply a space was introduced by A.D.Alexandroff [1] in 1940 generalising the idea of a topological space where only countable unions of open sets were taken to be open. Their complementary sets are called open sets.
- keywords: bispace; bitopological; collection; condition; numbers; open; s.o.w.r.to; semi; set; sets; theorem; union; τ1 open; τ1int(τ1s.o.(x)τ2; τ1inta; τ2clo
- versions: original; plain text
- cubo-1155
- author: Dyavanal, Renukadevi S.; Hattikal, Ashwini M.; Mathai, Madhura M.
- title: Uniqueness of meromorphic functions sharing a set in annuli
- date: 2016-12-01
- words: 4916
- flesch: 84
- summary: For any constant a, we say that f and g share a Counting Multiplicity(CM), provided that f − a and g − a have the same zeros with same multiplicities. December 2016 Uniqueness of meromorphic functions sharing a set in annuli Renukadevi S. Dyavanal, Ashwini M. Hattikal, Madhura M. Mathai Department of Mathematics, Karnatak University, Dharwad - 580003, India renukadyavanal@gmail.com, ashwinimhmaths@gmail.com, madhuramathai@gmail.com ABSTRACT The purpose of this article is to investigate the uniqueness of meromorphic functions sharing a set with counting multiplicity and also with weight 1 in annuli.
- keywords: admissible; annuli; annulus; cubo; functions; j=1; lemma; let; lim; meromorphic; n0(r; non; r→∞,r∈i; s(r; set; sup; t0(r; theorem; uniqueness
- versions: original; plain text
- cubo-1156
- author: Chen, Peng; Ding, Hui-Sheng; N’Guérékata, Gaston M.
- title: Positive asymptotically almost periodic solutions of an impulsive hematopoiesis model
- date: 2016-12-01
- words: 4442
- flesch: 86
- summary: − tk| ∈ [ 1 2 , 1], p = lim t−s→+∞ i(s, t) + ϕn(s − τ) ds + ∑ tk<t X(t, tk)Ik(ϕ(tk)), t ∈ R. Define a mapping F on Ω = {ϕ ∈ PT AAP(R) : inf t∈R ϕ(t) ≥ 0} by F(ϕ)(t) = ∫t −∞ X(t, s) b(s) 1 + ϕn(s − τ)
- keywords: aap(r; c0(r; cubo; definition; denote; ding; equation; f(t; functions; hematopoiesis; impulsive; inf; lemma; lim; model; n’guérékata; periodic; positive; proof; set; solutions; stability; step; t∈r; x(t
- versions: original; plain text
- cubo-1157
- author: Tyagi, B. K.; Chauhan, Harsh V. S.
- title: On generalized closed sets in generalized topological spaces
- date: 2016-12-01
- words: 7527
- flesch: 91
- summary: X − Mµ is called (i) a µ-generalized closed (or gµ-closed) set if cµA ∩ Mµ ⊆ U whenever A ∩ Mµ ⊆ U ∈ µ. Let A = {x} ∪ (X − Mµ) and A ∩ Mµ ⊆ U ∈ µ.
- keywords: a∩mµ; chauhan; closed; cubo; cµ({x; cµa; cµiµcµa; cµv; generalized; gts; gµ-closed; gµ-open; iii; iµa; iµcµa; math; proof; set; sets; spaces; subset; theorem; topological; topology; tyagi; µ-open; µ-t0; µ-t1/2
- versions: original; plain text
- cubo-1158
- author: Sanabria, José; Rosas, Ennis; Rajesh, Neelamegarajan; Carpintero, Carlos; Gómez, Amalia
- title: S-paracompactness modulo an ideal
- date: 2016-12-01
- words: 5177
- flesch: 86
- summary: V ∈ V}). Then, there exists an open cover U of I such that I ̸⊂ ⋃ {V : V ∈ V} ∪ J for every J ∈ I and every locally finite collection V which refines U.
- keywords: closed; collection; cover; finite; ideal; mod; modulo; open; paracompact; refines; semi; sets; space; subset; λ∈λ
- versions: original; plain text
- cubo-1159
- author: Anastassiou, George A.
- title: Right general fractional monotone approximation
- date: 2015-10-01
- words: 5113
- flesch: 90
- summary: The function G (z) = (z − g (x)) m−α−1 ( f(m) ◦ g−1 ) (z) is integrable on [g (x) , g (b)], and by assumption g is absolutely continuous : And we can write ( Dαb−;gf ) (x) = (−1) m Γ (m − α) ∫g(b) g(x) (z − g (x))
- keywords: approximation; b−;g; f(m; f(p; fractional; general; g−1; max; right; theorem; − g; ∣ ∣
- versions: original; plain text
- cubo-1160
- author: Kostić, Marko
- title: Degenerate k-regularized (C1, C2)-existence and uniqueness families
- date: 2015-10-01
- words: 10919
- flesch: 76
- summary: such that p ( E(mn−1)(t)x ) ≤ cp,Tp(x), x ∈ X, t ∈ t ∈
- keywords: abstract; c([0,t; c1,c2)-existence; caputo; case; cauchy; class; convex; cubo; d(aj; definition; degenerate; denote; differential; e(t))t≥0; equations; equicontinuous; existence; f ∈; f(t; families; family; fedorov; following; fractional; function; gαn−α; i=0; injective; integral; j=1; j∈nn−1\di; k(t; kernel; kostić; l(x; l(y; linear; local; marko; math; mild; mn−1; mn−1−i; multi; new; non; n−1∑; operator; order; paper; problem; proof; propagation; properties; proposition; r0(t))t∈[0,τ; resolvent; reλ; rmn−1(t))t∈[0,τ; set; solution; spaces; strong; term; theorem; u(t; u(t))t∈[0,τ; uniqueness; y ∈; ∈ n
- versions: original; plain text
- cubo-1161
- author: Rosas, Ennis; Carpintero, Carlos; Hussain, Sabir
- title: (i, j)-ω-semiopen sets and (i, j)-ω-semicontinuity in bitopological spaces
- date: 2015-10-01
- words: 4609
- flesch: 87
- summary: If {Aα : α ∈ I} is a collection of (i, j)-ω-semiopen subsets of X, then for every x ∈ ⋃ α∈I Aα, x ∈ Aα, for some α ∈ I. Hence, there exists a (i, j)-ω-semiopen subset U containing x, such that U − Aα is countable. The intersection of all (i, j)-ω-semiclosed sets of X containing A is called the (i, j)-ω-semiclosure of A and is denoted by (i, j)-ω − SCl(A).
- keywords: bitopological; countable; function; j)-ω; proof; scl(a; semiopen; set; sets; so(x; space; subset; theorem
- versions: original; plain text
- cubo-1162
- author: Bagewadi, C. S.; Siddesha, M. S.
- title: Submanifolds of a (k,μ)-contact manifold
- date: 2016-12-01
- words: 3607
- flesch: 72
- summary: (4.1) for Y ∈ D⊥, X, Z ∈ TM. (∇̃ZΩ)(X, Y) = g(AφXY + AφYX, Z) (4.2) for all X, Y ∈ D⊥, Z ∈ TM. Proof. Let Y ∈ D⊥, Z ∈ TM.
- keywords: anti; bagewadi; c.s; contact; cubo; distribution; field; g(x; invariant; lemma; m.s; manifold; math; metric; normal; proof; section; siddesha; study; submanifolds; tangent; theorem; vector; σ(x
- versions: original; plain text
- cubo-1163
- author: Hammi, Mekki; Hammami, Mohamed Ali
- title: Gronwall-Bellman type integral inequalities and applications to global uniform asymptotic stability
- date: 2015-10-01
- words: 4608
- flesch: 87
- summary: If there exist a class KL-function β, a constant r > 0 such that, given any initial state x0, the solution satisfies ‖ x(t) ‖≤ β(‖ x0 ‖, t − t0) + r ∀t ≥ t0, then the system (1) is globally uniformly practically asymptotically stable. Then, for all t0 ≥ 0, s ≥ 0 and t ≥ t0 ∫t t0 φ ≤ N + L(t − t0) (6) where N = ∫s 0 φ + Ms p and L = p−1 p Ms with Ms =‖ φ|[s,+∞) ‖p .
- keywords: bellman; continuous; cubo; function; gronwall; hammami; inequalities; inequality; piecewise; solution; stability; stable; sup; systems; theorem; time; type; x(t; x(t0; ∫t t0
- versions: original; plain text
- cubo-1164
- author: Lusares, Gina; Rodado Amaris, Armando
- title: Parametrised databases of surfaces based on Teichmüller theory
- date: 2016-12-01
- words: 6809
- flesch: 63
- summary: The following properties which are proved in [2] establish the relationship between generic graphs and the Teichmüller space. Then, we showed that the face constraint of the systems associated to generic graphs for the genus two case are consequence of the equations and angle constraints of the systems, which allow us to claim that there are exactly 10 realizable generic graphs associated to Riemann surfaces of genus two. Proposition 5.1.
- keywords: a(s; amaris; angle; armando; associated; case; ce(g; cell; circle; complex; cone; connected; constraints; contraction; corresponding; cubo; databases; decomposition; delaunay; edge; faces; figure; generic; genus; gina; graphs; hyperbolic; hyperelliptic; l(g; linear; lusares; marked; mathematical; metric; moduli; moves; new; number; pattern; points; polytope; problem; proposition; realizable; riemann; riemann surfaces; rodado; set; solutions; space; sphere; structure; surface; system; teichmüller; theory; triangles; vertex; vertices; voronoi; weierstrass; whitehead
- versions: original; plain text
- cubo-1165
- author: Sudo, Takahiro
- title: Computing the Laplace transform and the convolution for more functions adjoined
- date: 2015-10-01
- words: 5808
- flesch: 80
- summary: − µ)g(τ − s)dτ restricted to the sub-interval [s, t − µ] of [0, t], so that we may call the convolution in the statement the sub-convolution. − fn ∗ gn| + |fn ∗ gn − hn ∗ kn| + |hn ∗ kn − lim(hn ∗ kn)|, which go to zero as n → ∞. We denote by G(R) the algebra generated by A(R) and the set {e−λt 2 | λ
- keywords: algebra; algebraic; compute; convolution; cos; cubo; delta; denote; eµt; e−u; e−λt; functions; g(r; integral; laplace; lemma; lim; proof; shifted; sin; transform; λ+µ; ρ))(t
- versions: original; plain text
- cubo-1172
- author: Soltani, Fethi
- title: Reproducing inversion formulas for the Dunkl-Wigner transforms
- date: 2015-06-01
- words: 4056
- flesch: 86
- summary: The Dunkl translation operators τx, x ∈ Rd, [18] are defined on L2(µk) by Fk(τxf)(y) = Ek(ix, y)Fk(f)(y), y ∈ Rd. For y ∈ Rd, the initial problem Dju(., y)(x)
- keywords: = ∫; cubo; dunkl; ek(ix; extremal; formulas; function; f∗λ; hs(µk; iii; inversion; kernel; l2 rad; l2(µk; l2rad(µk; math; operators; proof; proposition; rad; soltani; space; theorem; transform; vg(f)(x; wigner; |z|2)s; λ(1; ‖g‖2
- versions: original; plain text
- cubo-1174
- author: Chettaoui, Chirine
- title: An other uncertainty principle for the Hankel transform
- date: 2015-06-01
- words: 4132
- flesch: 87
- summary: (4.7) On the other hand, for f ∈ L2(dµα) and t > 0, we denote by ft the dilated of f defined by ft(r) In the following, we shall prove the uncertainty principle in terms of entropy for f ∈ L1(dµα)∩ L2(dµα) such that ||f||2,µα = 1.
- keywords: 2t2; bessel; chettaoui; chirine; cubo; dµα(r; entropy; fourier; function; hankel; hα(f; inequality; k→+∞; l2(dµα; lim; ln2; math; operator; principle; product; proof; p−1; terms; theorem; transform; uncertainty; weyl; |f(r)|2; ||f||2,µα; ταr; ∫+∞
- versions: original; plain text
- cubo-1175
- author: Dragomir, S.S.
- title: Refinements of the generalized trapezoid inequality in terms of the cumulative variation and applications
- date: 2015-06-01
- words: 5710
- flesch: 89
- summary: Lb (b − t) β for any t + 1 Lb (b − t) β+1 (2.12) for any x ∈
- keywords: = ∣; a+b; applications; bounded; constant; cubo; dragomir; etx; function; generalized; inequalities; inequality; math; m−0; proof; refinements; s.s; selfadjoint; trapezoid; variation; ∣ ∣; ∣ ≤
- versions: original; plain text
- cubo-1176
- author: Leiva, Hugo; Matute, Jesús; Merentes, Nelson; Sánchez, José
- title: On a type of Volterra integral equation in the space of continuous functions with bounded variation valued in Banach spaces
- date: 2015-06-01
- words: 7677
- flesch: 85
- summary: Let us note that ∣∣F(x)(t + h) − F(x)(t) ∣∣ = ∣∣∣∣ ∫t+h a K(t + h, s)f(x(s))ds − ∫t a K(t, s)f(x(s))ds ∣∣∣∣ ≤ ∫t a ∥∥K(t + h, s) − K(t, s) ∥∥ · ∣∣f(x(s)) = x0 ∈ X, where B : F −→ F is an adequate function, F denotes the space of continuous functions of bounded variation defined from the interval [a, b] into any fixed normed space X and the expression K(t, s)x(s) in the integral part means that the continuous linear operator K(t, s) : X −→ X is evaluated in x(s).
- keywords: b(g)(s)ds; banach; bounded; b−δ; continuous; controllability; cubo; definition; equation; formula; function; i=1; integral; interval; josé; k(t; leiva; linear; matute; max; nelson; nonlinear; number; operator; pair; problem; proof; proposition; r(b; r(t; real; riemann; sánchez; section; solution; space; system; s∈[a; t(s; theorem; type; variation; volterra; x(a; x(t; ∣∣∣∣∣
- versions: original; plain text
- cubo-1177
- author: Gokmen Yildiz, Onder; Ersoy, Soley; Masal, Melek
- title: A note on inextensible flows of curves on oriented surface
- date: 2014-10-01
- words: 3443
- flesch: 83
- summary: 2 Preliminaries Let S be an oriented surface in three-dimensional Euclidean space E3 and α(s) be a curve lying on the surface S. Suppose that the curve α(s) is spatial then there exists the Frenet frame { −→ T , −→ N, −→ B } at each points of the curve where −→ T is unit tangent vector, −→ N is principal normal vector and −→ B is binormal vector, respectively. In this frame −→ T is the unit tangent of the curve, −→ n is the unit normal of the surface S and −→ g is a unit vector given by −→ g = −→ n × −→ T .
- keywords: cubo; curvature; curve; darboux; f1kn; f2τg; flows; following; frame; g ∂t; geodesic; inextensible; oriented; surface; ∂ −→; ∂f2; ∂f3; ∂f3 ∂s; ∂kn; ∂s2
- versions: original; plain text
- cubo-1178
- author: Anastassiou, George A.
- title: Higher order multivariate Fuzzy approximation by basic neural network operators
- date: 2014-10-01
- words: 4896
- flesch: 85
- summary: ∈ N. Suppose that sup r∈[0,1] max ( x (r) i , y (r) i ) ∈ R, for i = 1, ..., m. − f (x ′ 1, ..., x ′ m)| .
- keywords: anastassiou; approximation; continuous; cubo; definition; function; fuzzy; i=1; max; multivariate; n1−α; neural; operators; order; sup; ∣∣∣
- versions: original; plain text
- cubo-1179
- author: Miranville, Alain
- title: On an anisotropic Allen-Cahn system
- date: 2015-06-01
- words: 4012
- flesch: 85
- summary: Keywords and Phrases: Allen-Cahn equation, Willmore regularization, anisotropy effects, well- posedness 2010 AMS Mathematics Subject Classification: 35B45, 35K55 74 Alain Miranville CUBO 17, 2 (2015) 1 Introduction The Allen-Cahn equation, ∂u ∂t − ∆u + f(u) = 0, (1.1) where u is the order parameter and f(s) = s3 −s, describes important processes related with phase separation in binary alloys, namely, the ordering of atoms in a lattice (see [1]). dx, (1.2) where Ω is the domain occupied by the material and, typically, F(s) = 1 4 (s2 − 1)2.
- keywords: alain; allen; anisotropic; cahn; case; cubo; div(δ′; energy; equation; existence; f(u; f(u)∇u; free; h2(ω; hilliard; landau; miranville; particular; problem; regularization; solutions; system; uniqueness; |s|2; |∇u|; |∇u|2; ∂u ∂t
- versions: original; plain text
- cubo-1180
- author: Benchohra, Mouffak; Bennihi, Omar; Ezzinbi, Khalil
- title: Existence Results for Some Neutral Partial Functional Differential Equations of Fractional order with State-Dependent Delay
- date: 2014-10-01
- words: 5524
- flesch: 81
- summary: − t)u(s − ρ1(t)ρ2( ∫π 0 a2(θ)|u(t,θ)| 2dθ),ξ)ds] = ∂ 2 u(t,ξ) ∂ξ2 + a0(t,ξ)u(t,ξ) + ∫0 −∞ a1(s − t)u(s = ϕ(t), t ∈ (−∞,0], g(t,xρ(t,xt))
- keywords: 0,b; abstract; appl; benchohra; bennihi; cn)ds; conditions; continuous; cubo; d(a; definition; delay; denote; dependent; differential; differential equations; equations; evolution; example; existence; ezzinbi; family; fixed; fractional; fréchet; function; g(t; infinite; kn|z(s)|; math; mild; m̂kn; m̄0lkn; neutral; nonlinear; norm; operator; order; partial; point; problem; resolvent; results; semi; solution; space; state; unique; yρ(s; yρ(t; zρ(s
- versions: original; plain text
- cubo-1181
- author: Nuray, Fatih; Patterson, Richard F.
- title: Submatrices of four dimensional summability matrices
- date: 2015-06-01
- words: 2186
- flesch: 68
- summary: In this paper, firstly we will obtain a general correspondance between RH-regular matrices and ℓ′′ − ℓ′′ matrices by proving that every RH-regular matrix gives rise to an ℓ′′ − ℓ′′ matrix by the removing of appropriate rows. Secondly we prove that a matrix from double bounded sequences to double bounded sequences contains a row-submatrix is conservative.
- keywords: convergent; dimensional; double; limm; math; matrix; patterson; pringsheim; regular; row; sequence; submatrix; summability; theorem; |am; ℓ′′
- versions: original; plain text
- cubo-1182
- author: Aranda, Carlos Cesar
- title: Spacetime singularity, singular bounds and compactness for solutions of the Poisson’s equation
- date: 2015-06-01
- words: 8627
- flesch: 83
- summary: ∈ R, and g ∈ C∞(R) (see the C∞ Urysohn Lemma page 245, [14]). |= r ∈ [r0, R), (24) we deduce − limj→∞ ∆Pj = limj→∞ Hj(Pj)
- keywords: = ∫; analysis; aranda; b(0; b(x0,r; b(x0,δ; ball; black; bounds; c2(ω; carlos; cesar; compactness; concentration; continuous; cubo; derivative; differential; discontinuity; distributions; domain; elliptic; equation; f1,j; function; gravity; green; hj(pj; hole; j=1; journal; j→∞; lemma; lim; limj→∞; markarian; mathematical; mean; measure; messier; newtonian; ngc; non; page; poisson; potentials; press; problem; proof; proposition; qso; results; s=0; satisfies; sdss; second; sequence; set; simple; singular; singularity; solid; solution; spaces; spacetime; springer; support; theorem; theory; ∂xi; − ∫
- versions: original; plain text
- cubo-1183
- author: Selmi, Belgacem
- title: Calderón’s reproducing Formula For q-Bessel operator
- date: 2015-06-01
- words: 5264
- flesch: 84
- summary: Fα,q(f) is an isomorphism of L 2 α,q(Rq,+), we have ||Fα,q(f)||2,α,q = ||f||2,α,q, for f ∈ L 2 α,q(Rq,+) and F−1α,q(f) = 132 Belgacem Selmi CUBO 17, 2 (2015) (iii) Fα,q(T α q,xf)(ξ) = jα(ξx;q 2)Fα,q(f)(ξ); f ∈ L 1 α,q(Rq,+).
- keywords: belgacem; bessel; calderón; convolution; cubo; cµ,α; dqt; dqx; f ∈; f(x; finite; formula; fourier; function; integral; l1α; lim; logq; measure; operator; proof; q(f; q(rq,+; q(rq,+,dqσ(x; selmi; space; theorem; transform; tαq; δ(x; ∈ l
- versions: original; plain text
- cubo-1184
- author: Dimbour, William; Mado, Jean-Claude
- title: S-asymptotically ω-periodic solution for a nonlinear differential equation with piecewise constant argument in a Banach space
- date: 2014-10-01
- words: 3085
- flesch: 80
- summary: A function f ∈ BC(R+,X) is called S-asymptotically ω-periodic if there exists ω such that lim t→∞ (f(t + ω) − f(t)) and δǫ,K > 0 such that ||f(t,x) − f(t,y)|| < ǫ for all t ≥ Lǫ,K and all x,y ∈ K with ||x − y|| < δǫ,K. 58 William Dimbour & Jean-Claude Mado CUBO 16, 3 (2014) Theorem 2.
- keywords: argument; banach; constant; continuous; cubo; definition; differential; dimbour; equation; f(t; function; lim; nonlinear; operator; periodic; piecewise; s)a0φ([s])ds; sapω(x; solution; space; t(t; theorem; x(t; ||a0||
- versions: original; plain text
- cubo-1185
- author: Bültel, Oliver
- title: On the supersingular loci of quaternionic Siegel space
- date: 2014-10-01
- words: 8303
- flesch: 74
- summary: In subsections 2.2 we explain techniques needed to understand supersingular Dieudonné modules. We apply these techniques to supersingular Dieudonné modules with the particular additional structure under consideration in the subsections 2.3- 2.4.
- keywords: abelian; additional; algebra; basis; bültel; closed; corollary; crisdisc(m; cubo; decomposition; degenerate; dieudonné; dieudonné module; direct; divisible; dual; elements; equal; fact; following; form; group; i=1; invariant; isogeny; isomorphism; isotropic; lemma; linear; loci; locus; maximal; module; non; notice; odd; oliver; oort; orthogonal; pairing; particular; perfect; points; prime; proof; quaternionic; rank; s0(m; satisfies; shimura; siegel; skp; space; structure; sum; supersingular; supersingular dieudonné; superspecial; symmetric; theorem; type; varieties; variety; volume; w(fp2; w(k; φ(x
- versions: original; plain text
- cubo-1186
- author: Moudafi, Abdellatif
- title: Computing the resolvent of composite operators
- date: 2014-10-01
- words: 3909
- flesch: 67
- summary: + 〈u,y − x〉 for all y ∈ H2} as usual). x + JA1 (y − x).
- keywords: algorithm; applications; approach; composite; compute; computing; continuous; converges; convex; cubo; example; fact; fixed; following; image; mapping; maximal; method; monotone; moudafi; operator; point; problem; proximity; resolvent; sequence; set; sum; λy1
- versions: original; plain text
- cubo-1187
- author: Sudo, Takahiro
- title: Computing the inverse Laplace transform for rational functions vanishing at infinity
- date: 2014-10-01
- words: 6618
- flesch: 84
- summary: − (k + m)(µ2 − µ1) (µ2 − µ1) 2 + (λ1 ± λ2)2 ∫t 0 τk+m−1e(µ2−µ1)τ sin(λ1t − (λ1 ± λ2)τ)dτ − (k + m)(λ1 ± λ2) (µ2 − µ1) 2 + (λ1 ± λ2)2 ∫t 0 τk+m−1e(µ2−µ1)τ cos(λ1t − (λ1 ± λ2)τ)dτ, where the last two integrals are denoted by Ik+m−1,sin and Ik+m−1,cos respectively, and the integrals can be inductively reduced to the cases of Ij,sin and Ij,cos for 1 ≤ j ≤ k + m − 2 and finally to the case of I0,sin and I0,cos that are given by I0,sin ≡ ∫t 0 e(µ2−µ1)τ sin(λ1t − (λ1 ± λ2)τ)dτ = µ2 − µ1 (µ2 − µ1) 2 + (λ1 ± λ2)2 {e(µ2−µ1)t sin(∓λ2t) − sin(λ1t)} + λ1 ± λ2 (µ2 − µ1) 2 + (λ1 ± λ2)2 {e(µ2−µ1)t cos(∓λ2t) − cos(λ1t)} and I0,cos ≡ ∫t 0 e(µ2−µ1)τ cos(λ1t − (λ1 ± λ2)τ)dτ = µ2 − µ1 (µ2 − µ1) 2 + (λ1 ± λ2)2 {e(µ2−µ1)t cos(∓λ2t) − cos(λ1t)} − λ1 ± λ2 (µ2 − µ1) 2 + (λ1 ± λ2)2 {e(µ2−µ1)t sin(∓λ2t) − sin(λ1t)} Other cases of convolution products of general monomials with sin and cos changed are also computed similarly, but omitted.
- keywords: a(r; case; compute; convolution; cos; cubo; eµt; functions; integral; inverse; k=0; laplace; l−1; m+1∑; product; r0(c; rational; real; sin; sin(λ1; theorem; transform; λ(t; λ2)2; λ2l(k; λτdτ; − λ; −1)(l−1)k
- versions: original; plain text
- cubo-1274
- author: Diagana, Toka; Ezzinbi, Khalil; Miraoui, Mohsen
- title: Pseudo-almost periodic and pseudo-almost automorphic solutions to some evolution equations involving theoretical measure theory
- date: 2014-06-01
- words: 10779
- flesch: 81
- summary: If in the finite sequence of λk there exist λnk = 0 for k = 1, 2, ...l with am ∈ X − {0} for all m ̸= nk (k = 1, 2, ..., l), it can be easily shown that M(f, µ,ν) = θµν l∑ k=1 ank = θµνM(f). ≤ KF∥u − v∥, for all u, v ∈ X and t ∈ R, then the equation (1.1) has a unique bounded mild solution u : R #→ X given by u(t) = ∫ R Γ(t, s)F(s, u(s))ds, t ∈ R, where the operator family Γ(t, s), called Green’s function corresponding to U and P(.), is given by { Γ(t, s) = U(t, s)P(s),
- keywords: a(t; abstract; analysis; applications; assumptions; automorphic; banach; compact; conditions; continuous; cubo; definition; denote; diagana; differential; e(r; equations; evolution; existence; ezzinbi; f(t; family; following; follows; form; functions; g ∈; g(t; h(t; h1(t; journal; khalil; lemma; lim; mathematical; measure; mild; miraoui; mohsen; new; nonautonomous; nonlinear; n’guérékata; pap(r; partial; periodic; periodicity; proof; pseudo; s ∈; set; solutions; spaces; theorem; theory; toka; u(t; u(τ))dτ; unique; v(t; weighted; µ(qr; µ,ν; ν(qr; ∥f(t)∥dµ(t; ∫+∞
- versions: original; plain text
- cubo-1275
- author: Anastassiou, George
- title: Voronovskaya type asymptotic expansions for multivariate quasi-interpolation neural network operators
- date: 2014-06-01
- words: 4274
- flesch: 89
- summary: Φ (nx − k) V (x) − f (x) = m−1∑ j=1 ⎛ ⎝ ∑ |α|=j ( fα (x) ∏N i=1 αi! ) ⎞ ⎠ (∑⌊nb⌋ k=⌈na⌉ Φ (nx − k) (∏N i=1 ( ki n − xi )αi )) ∞∑ k=−∞ Φ (nx − k) := ∞∑ k1=−∞ ∞∑ k2=−∞ ... ∞∑ kN=−∞ Φ (nx1 − k1, ..., nxN − kN) = 1, ∀ x ∈ RN;
- keywords: i=1; k n; k=⌈na⌉; max; multivariate; neural; ∥ ∥; ∥fα∥
- versions: original; plain text
- cubo-1276
- author: Sudo, Takahiro
- title: K-theory for the group C*-algebras of a residually finite discrete group with Kazhdan property T
- date: 2014-06-01
- words: 1316
- flesch: 71
- summary: Keywords and Phrases: Group C*-algebra, K-theory, discrete group, projection. 2010 AMS Mathematics Subject Classification: 46L05, 46L80, 19K14. Because if it is zero, then K0(C ∗ r(SLn(Z))) ∼= Z, which implies that C∗r(SLn(Z)) does not contain non-trivial projections.
- keywords: c∗-algebras; direct; discrete; finite; group; k0(c; k1(c; kazhdan; math; non; property; r(γ; residually; sum; theory; trivial; ∗(γ
- versions: original; plain text
- cubo-1277
- author: Li, Fang; Yang, Zuodong
- title: Existence of blow-up solutions for quasilinear elliptic equation with nonlinear gradient term.
- date: 2014-06-01
- words: 5605
- flesch: 85
- summary: ≤ 0, x ∈ D+σ, △mu − − b(x)(u−)p(1 + |∇u−|q) ≥ 0, x ∈ D−σ. (3.16) Let u be any nonnegative solution of (1.1) and M1(δ) = R − |x − x0|
- keywords: asymptotic; b(x; blow; boundary; condition; constant; cubo; d(x)→0; domain; elliptic; equation; existence; fang; function; gradient; large; lemma; lim; lower; nonlinear; nonnegative; problem; proof; quasilinear; r)−α; results; r→r; solutions; theorem; u(x; upper; weak; yang; zuodong; αm−1−q(α; ψ(x
- versions: original; plain text
- cubo-1279
- author: Tunc, Cemil
- title: On the uniform asymptotic stability to certain first order neutral differential equations
- date: 2014-06-01
- words: 2617
- flesch: 88
- summary: − g(x(t − τ))) − g(x(t − τ))}, Then, the zero solution of Eq. (1.2) is uniformly asymptotically stable. Remark.
- keywords: asymptotic; differential; equations; g(x(t; neutral; solution; stability; tanh; tanh x(t; x(s)ds; x(t; ∗ ∗; ⎢ ⎢; ⎥ ⎥
- versions: original; plain text
- cubo-1280
- author: Aghanians, Aris; O’Regan, Donal; Fallahi, Kamal; Nourouzi, Kourosh
- title: Some coupled coincidence point theorems in partially ordered uniform spaces
- date: 2014-06-01
- words: 5268
- flesch: 84
- summary: For given comparable elements (g(x), g(y)) and (g(u), g(v)) of X × X, where x, y, u, v ∈ X, write r1 = ρ(g(x), g(u)) and r2 = ρ(g(y), g(v)) and take ε > 0. For given comparable elements (g(x), g(y)) and (g(u), g(v)) of X × X, where x, y, u, v ∈ X, write r1 = ρ(F(x, y), g(x)) and r2 = ρ(F(u, v), g(u))
- keywords: coincidence; comparable; f(u; f(x; f(xn; g(u; g(x; g(xn; g(xn+1; g(y; g(yn; point
- versions: original; plain text
- cubo-1281
- author: Kumar Mohanta, Sushanta
- title: Coupled coincidence points for generalized (ψ, ϕ)-pair mappings in ordered cone metric spaces
- date: 2014-06-01
- words: 5418
- flesch: 88
- summary: A map T : (X, d) → (X, d) is called sequentially continuous if xn ∈ X, xn → x implies Txn → Tx. Lemma 2. [3] An element (x, y) ∈ X × X is called a coupled fixed point of the mapping F : X × X → X if x = F(x, y) and y = F(y, x).
- keywords: coincidence; cone; cubo; f(u; f(x; g(x; let; mappings; metric; monotone; point; property; sequence; space; theorem
- versions: original; plain text
- cubo-1282
- author: Al-Islam, Najja
- title: Diagana space and the gas absorption model
- date: 2014-06-01
- words: 3681
- flesch: 78
- summary: = 0 for all x ∈ [0, 1] and t ∈ R. Suppose inf x∈[0,1],t∈R a(x, t) = 4 Example To illustrate the main result of this paper(Theorem 3.2), consider the following nonlinear hyperbolic second-order partial differential equation ⎧ ⎪⎪⎨ ⎪⎪⎩ uxt(x, t) + ! P(x) + sin t ux(x, t) = H(t) sin(u(x, ⌊t⌋)) u(0, t) = 0 = ϕ(t) (4.1) where P(x) = n∑ k=0 akx k for x
- keywords: a(x; absorption; anal; ap(r; cubo; diagana; differential; equations; existence; functions; gas; islam; lim; nonlinear; norm; pap0(r; periodic; periodicity; proof; pseudo; solutions; space; weighted; µ(r
- versions: original; plain text
- cubo-1283
- author: Galeano, Rafael; Ortega, Pedro; Cantillo, John
- title: Stationary Boltzmann equation and the nonlinear alternative of Leray-Schauder type
- date: 2014-03-01
- words: 2452
- flesch: 82
- summary: + ∥ ∥ ∥ Q(un, un) − Q(u, u) ∥ ∥ ∥ L1(Ω×B 3R (0)) + ∥ ∥ ∥ ∥ ∥ n∑ i=1 vi ∂ ∂xi (un − u) ∥ ∥ ∥ ∥ ∥ L1(Ω×B 3R (0)) + n∑ i=1 ∥ ∥ ∥ ∥ vi ∂ ∂xi (un − u) ∥ ∥ ∥ ∥ E ≤ r∗R + R + nR∗∗
- keywords: alternative; b 3r; boltzmann; equation; i=1; j(u; l1(ω×b; l1(ω×b 3r; nonlinear; q(u; q(un; stationary; type; u(x; |un(x; ∂xi; ∣ ∣; ∣ ∫; ∥ ∥
- versions: original; plain text
- cubo-1284
- author: Aoyama, Koji; Kimura, Yasunori
- title: Viscosity approximation methods with a sequence of contractions
- date: 2014-03-01
- words: 5168
- flesch: 79
- summary: Then it is easy to verify that (η′)2 < 2κ′, µA is κ′-strongly monotone and η′-lipschitzian, and moreover, 〈y − z, Az〉 ≥ 0 is equivalent to 〈y − z, µAz〉 ≥ 0 for every y, A set-valued mapping A of H into H, which is denoted by A ⊂ H×H, is said to be a monotone operator if 〈x − y, x′ − y′〉 ≥ 0 for all (x, x′), (y, y′)
- keywords: approximation; common; condition; convergence; convex; cubo; fixed; following; iterative; lemma; lim; mappings; math; method; monotone; n=1; nonempty; nonexpansive; point; problem; sequence; subset; sup; theorem; viscosity; yokohama
- versions: original; plain text
- cubo-1285
- author: Abbas, Syed
- title: Weighted pseudo almost automorphic solutions of fractional functional differential equations
- date: 2014-03-01
- words: 5039
- flesch: 75
- summary: Keywords and Phrases: Fractional differential equation, Fixed point theorem, Almost auto- morphic functions, Abstract differential equations. A : D(A) ⊂ X → X is a linear densely defined operator of sectorial type on a complex Banach space X. With motivation coming from a wide range of engineering and physical applications, fractional differential equations have recently attracted great attention of mathematicians and scientists.
- keywords: abbas; anal; applications; automorphic; automorphic solutions; continuous; cubo; differential; differential equations; equations; existence; f(t; fractional; functions; g(t; lim; lipschitz; m(r; math; nonlinear; n’guérékata; operator; order; periodic; problem; pseudo; sectorial; set; solutions; space; stepanov; syed; sα(t; t ∈; theorem; type; u(s),us)ds; u(t; vol; weighted; wpaa(x; αsin
- versions: original; plain text
- cubo-1286
- author: Suresh, G.; Vasavi, Ch; Rao, T.S.; Murty, M.S.N.
- title: Existence of Ψ-Bounded Solutions for Linear Matrix Difference Equations on Z+
- date: 2014-03-01
- words: 3658
- flesch: 78
- summary: The existence and uniqueness of solutions of matrix difference equation (1) was studied by Murty, Anand and Lakshmi Prasannam [17]. Recently [10, 18, 19], extended the concept of Ψ-boundedness of the solutions to Lyapunov matrix differential equations.
- keywords: a(n; cubo; definition; difference; differential; equations; existence; f(n; function; fundamental; journal; kumar; lemma; lim; linear; matrices; matrix; n=1; operator; proof; rm×m; solution; summable; theorem; x(n; y(n; z(n;
- versions: original; plain text
- cubo-1287
- author: Lahiri, Indrajit; Mandal, Nintu
- title: On a result of Q. Han, S. Mori and K. Tohge concerning uniquesness of meromorphic functions.
- date: 2014-03-01
- words: 4887
- flesch: 90
- summary: f ′ |≥ 2) = S(r), (vii) N(r, 0; g′ |≥ 2) = S(r), (viii) N(r, 0; f′ |≥ 2) = S(r), (ix) N(r, 0; f − g |≥ 2) = S(r), (x) N(r, 0; f − g | f = ∞) = S(r), where N0(r, 0; g ′ |≥ 2)(N0(r, 0; f ′ |≥ 2)) is the counting function of those multiple zeros of g′(f′) which are not the zeros of f(f − 1) and N(r, 0; f − g | f = ∞) is the counting function of those zeros of f − g which are poles of f. 3 Proof of Theorem 1.1 Proof. This shows that z3 is at most a simple pole of H. Since a simple zero of f − a is a zero of H and N(r, 0; F | f = t) ≤ N(r, 0; f − g |≥ 2) for t = 0, 1 and F = (f − a)
- keywords: bilinear; following; functions; lahiri; lemma; meromorphic; n(r; n0(r; result; s(r; share; sharing; t(r; theorem; transformation
- versions: original; plain text
- cubo-1288
- author: Sahin, Ilker; Telci, Mustafa
- title: A Common Fixed Point Theorem for Pairs of Mappings in Cone Metric Spaces
- date: 2014-03-01
- words: 3523
- flesch: 88
- summary: [3] Di Bari, C. and Vetro P., ϕ- pairs and common fixed points in cone metric spaces, Rend. [5] Ilić, D. and Rakočević, V., Common fixed points for maps on cone metric space, J. Math. Anal.
- keywords: common; complete; cone; d(x; fixed; inequalities; mappings; metric; point; sequence; space; theorem; x2n+1; ∣ ∣
- versions: original; plain text
- cubo-1289
- author: Sirovnik, Nejc
- title: On certain functional equation in semiprime rings and standard operator algebras
- date: 2014-03-01
- words: 2966
- flesch: 83
- summary: Ring derivations on standard operator algebras, J. Funct. Jordan derivations on prime rings, Bull.
- keywords: a(x; algebra; case; derivation; f(x; i=0; jordan; l(x; linear; math; n−1; n−2; operator; relation; rings; semiprime; standard; theorem; vukman
- versions: original; plain text
- cubo-1290
- author: El-Sayed Ahmed, A.; Kamal, A.; Yassen, T.I.
- title: Characterizations for certain analytic functions by series expansions with Hadamard gaps
- date: 2014-03-01
- words: 3872
- flesch: 88
- summary: p (1 − r)q ωp(1 − r) × { 1 2π ∫2π 0 K(g(reiθ,a))dθ } rdr ≤ sup a∈D ∫1 0 ( ∞∑ k=1 nk |ak|r (nk−1) )p (1 − r)q ωp(1 − r) K ( log 1 r ) rdr by Theorem 2.7,we obtain ||f||QK,ω(p,q) . By Lemma 2.6, Theorem 2.7 and Theorem 3.2, we have ∫δ 0 ( ∞∑ k=1 nk |ak|r (nk−1) )p (1 − r)q ωp(1 − r) ∫2π 0 K(g(z,a))rdrdθ ≤ ∫δ 0 ( ∞∑ k=1 nk |ak|r (nk−1) )p (1 − r)q ωp(1 − r) K ( log 1 |a| )
- keywords: 0,∞; 1 r; ahmed; analytic; condition; cubo; functions; k(log; k=1; lemma; n=0; r)q; r)α−1; satisfy; series; spaces; theorem; |z|; ω(p; ωp(log
- versions: original; plain text
- cubo-1291
- author: Soltani, Fethi
- title: \(L^p\) local uncertainty inequality for the Sturm-Liouville transform
- date: 2014-03-01
- words: 2774
- flesch: 81
- summary: Keywords and Phrases: Sturm-Liouville transform; local uncertainty principle; Donoho-Stark’s uncertainty principle. [11] S. Omri, Local uncertainty principle for the Hankel transform, Int.
- keywords: 2α+2; cubo; f(f; function; inequality; k(a; liouville; local; math; measurable; operator; principle; sturm; theorem; transform; trimèche; uncertainty; ν(e; ‖xaf‖lp(µ
- versions: original; plain text
- cubo-1292
- author: Djebali, Smaïl; Saifi, Ouiza
- title: Upper and lower solutions for φ−Laplacian third-order BVPs on the half-Line
- date: 2014-03-01
- words: 3878
- flesch: 90
- summary: ≤ 0, t ∈ R+ (β − x)(0) = µ(β − x)′(0), (β − x)′(+∞) t ∈ R+ which means that (β − x)′ is nonincreasing in R+.
- keywords: a(t; boundary; cubo; djebali; existence; f(t; f(τ; g(t; lemma; lim; lower; order; point; positive; problem; s)φ−1; singular; solution; upper; value; x(0; x(t; φ−1; φ−laplacian; ∫+∞;
- versions: original; plain text
- cubo-1293
- author: Matsumoto, Akio; Szidarovszky, Ferenc
- title: An Elementary Study of a Class of Dynamic Systems with Single Time Delay
- date: 2013-10-01
- words: 2281
- flesch: 73
- summary: There is a large literature on delayed equations with one delay (see for example, Hayes (1950) and Burger (1956) for the earliest studies), however only very few studies are devoted to multiple delays (see for example, Hale and Huang (1993) and Piotrowska (2007)). − Ae−∆∆′ = 0 showing that ∆′ = e−∆ Ae−∆ − 1 = ∆ A∆ + A = iβ iβA + A = iβ(A − iβA) A2β2 + A2 with real part β2/(Aβ2+A) >
- keywords: case; class; cubo; delay; delayed; dynamic; elementary; equation; f(β; models; positive; real; sin; single; solution; stability; systems; value; ẋ(t; π/2
- versions: original; plain text
- cubo-1294
- author: Choudhury, Binayak; Kundu, Subhajit
- title: Approximating a solution of an equilibrium problem by Viscosity iteration involving a nonexpansive semigroup
- date: 2013-10-01
- words: 4548
- flesch: 89
- summary: − βn)(1 − θ)αn)‖xn − p‖ 2 + α2nM0 + θα 2 nM0 + 2αnηn ≤ (1 − 2(1 − θ)αn)‖xn − p‖ 2 + (α2nM0 + θα 2 nM0 + 2αnηn)
- keywords: banach; convergence; convex; cubo; ep(f; equilibrium; f(p; fix(s; hilbert; iteration; lemma; lim; mapping; nonexpansive; nonlinear; n→∞; point; problem; real; semigroup; set; space; sup; viscosity; xn−1; |rn−rn−1|; − p
- versions: original; plain text
- cubo-1295
- author: El-Sayed Ahmed, A.; Bakhit, M. A.
- title: Composition operators in hyperbolic general Besov-type spaces
- date: 2013-10-01
- words: 4387
- flesch: 83
- summary: ∞. Moreover, we say that f ∈ F∗(p, q, s) belongs to the class F∗0(p, q, s) if lim |a|→1 ∫ D (f∗(z))p(1 − |z|2)qgs(z, a)dA(z) = 0. CUBO 15, 3 (2013) Composition operators in hyperbolic general Besov-type spaces 21 The usual general Besov-type spaces F(p, q, s) (defined using the conventional derivative f′ instead of f∗) and their norms are denoted by the same symbols but with f′. Yamashita was probably the first one considered systematically hyperbolic function classes. ∞, the hyperbolic class F∗(p, q, s) consists of those functions f ∈ B(D) for which (see [7]) ‖f‖ p F∗(p,q,s) = sup a∈D ∫ D (f∗(z))p(1 − |z|2)qgs(z, a)dA(z) <
- keywords: a)da(z; a∈d; besov; bloch; bounded; b∗α; classes; compact; composition; cubo; d(f; fnj; function; f∗(p; general; hyperbolic; metric; operators; spaces; sup; type; |z|2)qgs(z; |φ(z)|2)αp; ∣ ∣
- versions: original; plain text
- cubo-1296
- author: Chauhan, Sunny; Pant, B. D.; Imdad, Mohammad
- title: Coincidence and common fixed point theorems in Non-Archimedean Menger PM-spaces
- date: 2013-10-01
- words: 6003
- flesch: 89
- summary: [15, Example 0.1℄ wherein it an be easily seen that involved mappings do not have a oin iden e or ommon �xed point in the underlying spa e. CUBO 15, 3 (2013) Coin iden e and ommon �xed point theorems in N.A. Menger . Thus we on lude that z is a ommon �xed point of A, B, S and T. The uniqueness of ommon �xed point is an easy onsequen e of inequality (2).
- keywords: by(t; cubo; g(fsx; g(fz; himedean; iden; imdad; ipro; lim; mappings; math; max; menger; metri; n.a; non; n→∞; ommon; ompatible; ontinuity; ontinuous; pair; pant; point; self; sequen; spa; sub; theorems; xed; xed point; z(t
- versions: original; plain text
- cubo-1298
- author: Fosner, Maja; Marcen, Benjamin; Sirovnik, Nejc
- title: On centralizers of standard operator algebras with involution
- date: 2013-10-01
- words: 2638
- flesch: 86
- summary: Given an integer n ≥ 2, a ring R is said to be n-torsion free if for x ∈ R, nx = 0 implies x Re all that a ring R is prime if for a, b ∈ R, aRb = (0) implies that either a = 0 or b = 0, and is semiprime in ase aRa = (0) implies a = 0.
- keywords: a(x; additive; ase; entralizer; f(x; kosi; l(x; left; mapping; math; omplex; operator; relation; right; ring; semiprime; spa; standard; ulbl; vukman; xed
- versions: original; plain text
- cubo-1299
- author: Patil, P. G.; Rayanagoudar, T. D.; Benchalli, S. S.
- title: Generalization of new continuous functions in Topological spaces
- date: 2013-10-01
- words: 3859
- flesch: 91
- summary: The following statements are eqivalent for bije tive fun tion f : (X, τ) → (Y, σ) (1) f is somewhat ωα-open fun tion (2) If F is losed subset of X su h that f(F) 6= Y, then there exists a ωα- losed subset D of Y su h that D 6= Y and f(F) (1) ⇒ (2):Let F be a losed subset of X su h that f(F)
- keywords: example; fun; fun tion; f−1(u; ontinuous; open; set; sin; somewhat; spa; subset; theorem; tion; topologi; ωαlosed
- versions: original; plain text
- cubo-1300
- author: Prakasha, D.G.; Nagaraja, H.G.
- title: On quasi-conformally flat and quasi-conformally semisymmetric generalized Sasakian-space-forms
- date: 2013-10-01
- words: 4305
- flesch: 86
- summary: an write the equation (1) as C̃(X, Y, Z, W) = a 1 − 2n f2[g(Y, Z)g(X, W) − g(X, Z)g(Y, W)] +af2[g(X, φZ)g(φY, W) − g(Y, φZ)g(φX, W) + 2g(X, φY)g(φZ, W)] + 3a 1 − 2n f2[g(Y, W)η(X)η(Z) Now with the help of (19) and (20) the equation (21) gives [a + (2n − 1)b][ r 2n + 1 − 2n(f1 − f3)]
- keywords: 3f2; cubo; form; g(x; g(y; generalized; generalized sasakian; m(f1; manifold; onta; r(x; s(x; sasakian; semisymmetri; spa; spa e; tensor; theorem; urvature; y)z
- versions: original; plain text
- cubo-1301
- author: Saluja, G. S.
- title: Convergence theorems for generalized asymptotically quasi-nonexpansive mappings in cone metric spaces
- date: 2013-10-01
- words: 6404
- flesch: 89
- summary: O tober 2013 Convergen e theorems for generalized asymptoti ally quasi-nonexpansive mappings in one metri spa es G. S. Saluja Department of Mathemati s and Information Te hnology, Govt. The mapping T is said to be quasi-nonexpansive if F(T) 6= ∅ and d(Tx, p) � d(x, p) (4) for all x ∈ X and p ∈ F(T).
- keywords: ally; appl; asymptoti; convergen; cubo; errors; generalized; mappings; math; metri; metri spa; n=1; nonexpansive; normal; onstant; onvex; point; pro; quasi; results; said; sequen; spa; spa e; theorems; type; xed; ‖d(xn
- versions: original; plain text
- cubo-1302
- author: Saleh, M. H.; Amer, S. M.; Mohamed, M. A.; Abdelrhman, N. S.
- title: Approximate solution of fractional integro-differential equation by Taylor expansion and Legendre wavelets methods
- date: 2013-10-01
- words: 3465
- flesch: 86
- summary: = 2t1.25 Γ(2.25) − t4 − t5 4 + t2y(t) + ∫t 0 tsy(s) ds , (5.1) with the initial ondition y(0) − t4 − t2et 5 y(t)
- keywords: approximate; cubo; equation; erential; example; expansion; fra; fra tional; fun; integro; k−1; legendre; m=0; method; m−1∑; n.s.abdelrhman; n=1; order; results; s.m.amer; solution; taylor; tional; tional integro; y(s; y(t;
- versions: original; plain text
- cubo-1303
- author: Sîntamarian, Alina
- title: Euler's constant, new classes of sequences and estimates
- date: 2013-10-01
- words: 6713
- flesch: 97
- summary: CUBO 15, 3 (2013) Euler's onstant, new lasses of sequen es and estimates 119 We have �un+1 − �un = �αn+1 − �αn + 127 30720(n + �c)8 − 127 30720(n + �c − 1)8 . In part (i) of Theorem 2.2 we have proved that lim n→∞ n8(γ − �αn) = 127 30720 .
- keywords: alina; b2k; best; cubo; estimates; euler; fun; h(x; k=1; lasses; lim; math; ned; new; onstant; proof; property; reasing; remark; rian; sequen; stri; sînt; theorem; tion; γ(a
- versions: original; plain text
- cubo-1304
- author: Sudo, Takahiro
- title: K-theory for the group C*-algebras of nilpotent discrete groups
- date: 2013-10-01
- words: 4445
- flesch: 78
- summary: [Z3 ⊗ Z3] ∼= Z 18, K1(C ∗ (G × G)) Our theorem tells us that K0(C ∗ (G × G))
- keywords: ase; bott; cubo; c∗(g; c∗-algebra; dire; dis; elements; generalized; generators; group; indu; k0(c; k1(c; lass; lasses; m2(c; nilpotent; non; ommutative; produ; proje; rete; set; theory; tion; torsion; unitary
- versions: original; plain text
- cubo-1305
- author: Anastassiou, George A.; Mezei, Razvan A.
- title: Uniform convergence with rates of general singular operators
- date: 2013-06-01
- words: 5153
- flesch: 92
- summary: It holds, for n = 1 |Tr,ξ(f; x) − f(x)| ≤ 3 2π ξ3 ∫∞ −∞ G1(t) ( sin (t/ξ) t )4 dt, (43) and, for n = 2 ∣ ∣ ∣ ∣ Tr,ξ(f; x) − f(x) − f′′(x) 2 δ2c2,ξ − f(4)(x) 24 δ4c4,ξ − f(6)(x) 720 δ6c6,ξ ∣ ∣ ∣ ∣ (62) ≤ 1663200 655177π ξ11 ∫∞ −∞ G6(t) ( sin (t/ξ) t )12 dt. ∣ ∣ ∣ ∣ Tr,ξ(f; x) − f(x)
- keywords: = ∣; f(x; general; operators; proof; sin; sin t; singular; t t; theorem; ξ(f; ωr(f; ∣ =; ∣ tr; ∣ ∣; ∣ ∫∞; ∣ ≤; ∥ ∥
- versions: original; plain text
- cubo-1306
- author: Wang, Weihui; Yang, Zuodong
- title: Nonnegative solutions of quasilinear elliptic problems with sublinear indefinite nonlinearity
- date: 2013-06-01
- words: 3922
- flesch: 81
- summary: − ur+1λ − (r + 1)u r λu +] (i) let u+ ∈ W 1,p 0 (Ω+a ), and for ‖u +‖ sufficiently small, we have Iλ(u) ≥ 1 p ∫ Ω |∇(uλ + u)| p − 1 p ∫ |Ω∇(uλ + u +)|p + 1 p ∫ Ω |∇uλ| p + ∫ Ω gλ(x, uλ)u + CUBO 15, 2 (2013) Nonnegative solutions of quasilinear elliptic problems ... 29 then, Iλ(u) ≥ 1 p ∫ Ω |∇uλ| p + ∫ Ω gλ(x, uλ)u + ≥ 1 p ∫ Ω |∇uλ| p = Iλ(0) (ii) let v1 ∈ W 1,p 0 (Ω+ b ), v1 ≥ 0, v1 6≡ 0,such that ∫ Ω b(x)vr+1 1 > 0. q < p − 1 <
- keywords: 1,p; a(x; a(x)u; b(x; cubo; eigenvalue; elliptic; equations; existence; gλ(x; m(x; nonnegative; positive; problem; proof; quasilinear; results; solution; yang; zuodong
- versions: original; plain text
- cubo-1307
- author: Narain, Dhruwa; Yadav, Sunil
- title: On Weak concircular Symmetries of Lorentzian Concircular Structure Manifolds
- date: 2013-06-01
- words: 3197
- flesch: 75
- summary: Thus the Lorentzian manifold M together with unit time like concircular vector field ξ, it’s associate 1-form η and (1, 1)–tensor field φ is said to be Lorentzian concircular structure manifolds (briefly (LCS)2n+1-manifold) In [1] De and Ghose introduced the notion of weakly concircular Ricci symmetric manifolds.
- keywords: a(x; concircular; cubo; field; following; form; g(x; k −; lorentzian; lorentzian concircular; m2n+1; manifold; n −; ricci; riemannian; structure; symmetric; tensor; vector; weakly; weakly concircular; yadav
- versions: original; plain text
- cubo-1308
- author: Wolf, Elke
- title: Isometric weighted composition operators on weighted Banach spaces of holomorphic functions defined on the unit ball of a complex Banach space
- date: 2013-06-01
- words: 3083
- flesch: 85
- summary: In this article we are interested in weighted composition operators Cφ,ψ : Hv(BY) → Hw(BY), f 7→ ψ(f ◦ φ). [17] M. Lindström, E. Wolf, Essential norm of differences of weighted composition operators, Monatsh.
- keywords: analytic; banach; bonet; complex; composition; condition; cubo; functions; h(d; holomorphic; hv(bx; isometric; lindström; math; norm; operators; proof; soc; spaces; sup; ṽ(φ(xn; weighted; wolf; ‖f‖v
- versions: original; plain text
- cubo-1309
- author: Minkevicius, S.
- title: About cumulative idle time model of the message switching system
- date: 2013-06-01
- words: 3606
- flesch: 84
- summary: Keywords and Phrases: mathematical models of technical systems, queueing theory, multiphase queueing systems, a law of the iterated logarithm, cumulative idle time of a customer. The works on cumulative idle time for the multiphase queueing systems and open Jackson networks in heavy traffic are also sparse.
- keywords: 0≤l≤n; a(n; cubo; cumulative; customer; example; f̂j; heavy; i=1; idle; iterated; law; lim; logarithm; max; message; model; multiphase; queueing; queues; switching; system; ŝi; theorem; time; traffic; ẑj
- versions: original; plain text
- cubo-1310
- author: Noiri, Takashi; Popa, Valeriu
- title: A note on modifications of \(rg\)-closed sets in topological spaces
- date: 2013-06-01
- words: 1414
- flesch: 82
- summary: the condition ”sCl(A) ⊂ V whenever A ⊂ V and V ∈ RO(X, τ)” does not define a subset like regualr generalized semi-closed sets. [15] means nothing to the family of semi-open sets. RESUMEN Destacamos que una modificación de conjuntos cerrados regulares generalizados debido a Palaniappan and
- keywords: closed; generalized; math; open; semi; sets; space; subset; topological
- versions: original; plain text
- cubo-1311
- author: Franssens, Ghislain R.
- title: On the impossibility of the convolution of distributions
- date: 2013-06-01
- words: 2656
- flesch: 59
- summary: [7] G.R. Franssens, Convolution product formula for associated homogeneous distributions on R, Math. Notice that F′ is again allowed to be a subset of D′. For Schwartz’ set of distributions D′, the convolution defined on D′ Z − is not prolonged to D′, so condition (ii) does not hold, and this allows the existence in D′ of a derivation X and a distribution 1 6= 0 : δ(1) ∗ 1 = 0 (e.g., 1 = X2 ( −πη(1) ) ).
- keywords: algebra; associated; associative; convolution; derivation; distributions; franssens; functions; homogeneous; impossibility; multiplication; product; schwartz; set; subset; theorem; x2f; δ(1
- versions: original; plain text
- cubo-1312
- author: Cerin, Zvonko
- title: Squares in Euler triples from Fibonacci and Lucas numbers
- date: 2013-06-01
- words: 3920
- flesch: 87
- summary: Since B2 = 5A2, A2 = F2n+3 and C3 = D3 = L2n+5, the product 1 5 A2 B2 C3 D3 is the square of F2n+3L2n+5. k = 5, the infi- nite sequences of triples A = (F2n+1, F2n+3, F2n+5), B = (F2n+1, 5F2n+3, F2n+5), C = (L2n+1, L2n+3, L2n+5),
- keywords: components; cubo; f2n+3; f4n+6; following; hold; l2n+5; numbers; products; proof; relations; second; sequences; similar; square; sums; theorem; triples; true
- versions: original; plain text
- cubo-1313
- author: Saleh, M.H.; Mohammed, D.Sh.
- title: Numerical solution of singular and non singular integral equations
- date: 2013-06-01
- words: 3570
- flesch: 79
- summary: Keywords and Phrases: Linear Hypersingular integral equations, nonlinear integral equations, Chebyshev polynomial, shifted Chebyshev polynomial, Approximate solution. 2010 AMS Mathematics Subject Classification: 45E05; 65R20; 78W23. In part I, we study the approximate solution of Hypersingular integral equations by means of Chebyshev polynomial.
- keywords: approximate; chebyshev; cubo; equation; f(x; following; hypersingular; integral; k(x; numerical; polynomial; singular; solution; substituting; φ(x; ϕ(t; ;
- versions: original; plain text
- cubo-1314
- author: Singh Thakur, Balwant
- title: An iterative method for finite family of hemi contractions in Hilbert space
- date: 2013-06-01
- words: 1889
- flesch: 83
- summary: − T1)x‖ 2 + λ ‖(I − T2)x‖ 2 − λ(1 − λ) ‖(T1 Sjxj‖ 2 ≤ ∞∑ j=1 ( ‖xj−1 − p‖ 2 − ‖xj − p‖ 2 ) = ‖x0 − p‖ 2 implies, δ2 ∞∑ j=1 ‖xj−1 −
- keywords: hemicontractive; hilbert; i=1; iteration; mappings; math; nonexpansive; point; pseudocontractive; snxn‖; space; ‖(i; ‖xn−1
- versions: original; plain text
- cubo-1315
- author: Farag, M. H.; Talaat, T. A.; Kamal, E. M.
- title: Existence and uniqueness solution of a class of quasilinear parabolic boundary control problems
- date: 2013-06-01
- words: 2637
- flesch: 75
- summary: A larage amount of the theoretical concept which governed by quasilinear parabolic equations [1-5] has been investigated in the field of optimal control problems. The study and determination of the optimal regimes of heat conduction processes at a long interval of the change of temperture gives rise to optimal control problems with respect to a quasilinear equation of parabolic type.
- keywords: class; control; cubo; equation; existence; f(x; i=1; j0(v; optimal; parabolic; problem; quasilinear; solution; theorem; uniqueness; y(x; ωt1; ∂xi; ∂δy; ∆bi
- versions: original; plain text
- cubo-1316
- author: Benchohra, Mouffak; Mostefai, Fatima-Zohra
- title: Weak Solutions of Fractional Order Pettis Integral Inclusions with Multiple Time Delay in Banach Spaces
- date: 2013-03-01
- words: 4415
- flesch: 87
- summary: u ∈ V} ≤ β {∑m i=1 gi(x, y)u(x − ξi, y − µi); u ∈ V } +β { 1 Γ(α1)Γ(α2) ∫x 0 ∫y 0 (x − s)α1−1(y − t)α2−1υ(s, t)dsdt; υ(x, y) ∈ F(x, y, u), u ∈ V } ≤ ∑m i=1 β({gi(x, y)u(x − ξi, y − µi); y ∈
- keywords: banach; benchohra; closed; cubo; differential; equations; f(x; fractional; function; gi(x; i=1; integral; math; order; pettis; point; s)α1−1(y; solutions; space; t)dsdt; theorem; u(x; weak; weakly; y)u(x; γ(α1)γ(α2; − t
- versions: original; plain text
- cubo-1317
- author: Bohner, Martin; Heim, Julius; Liu, Ailian
- title: Solow models on time scales
- date: 2013-03-01
- words: 5812
- flesch: 86
- summary: We also need the set Tκ which is defined in the following way: If T has a left-scattered maximum m, then Tκ = T − {m}. If t ∈ Tκ, then f∆(t) is defined as the number (provided that it exists) such that for every ε > 0, there exists a neighborhood U of t (i.e., U = (t − δ, t
- keywords: a(t)n(t; ailian; bohner; capital; cobb; conditions; constant; continuous; cubo; douglas; dynamic; equation; example; function; f̃(x; growth; gxα−1; heim; julius; k(t; lim; liu; martin; model; population; production; proof; r)(t; rate; s(t; scales; section; solow; solution; technological; theorem; time; y(t; z(x; µ(t; α−1; δ(t; δ̃κ; σ(t
- versions: original; plain text
- cubo-1318
- author: Gal, Ciprian G.; Gal, Sorin G.
- title: On Fokker-Planck and linearized Korteweg-de Vries type equations with complex spatial variables
- date: 2013-03-01
- words: 5075
- flesch: 85
- summary: t ∈ = ea(t)+d(t)[c(t)d(t)+b(t)+z] 2 √ πc(t) ∫∞ −∞ e−[u+b(t)+2c(t)d(t)] 2 /(4c(t))f(ze−iu)du, z ∈ DR.
- keywords: akz; analytic; a∗(dr; c(t; ciprian; complex; convergent; cos(uτ; cubo; equations; f(z; fokker; gal; integral; k=0; korteweg; planck; proof; real; solutions; sorin; spatial; theorem; t̃k; u(t; variable; vries; ∫+∞
- versions: original; plain text
- cubo-1319
- author: Chitioui, Taoufik; Ezzinbi, Khalil; Rebey, Amor
- title: Existence and stability in the α-norm for nonlinear neutral partial differential equations with finite delay
- date: 2013-03-01
- words: 9293
- flesch: 88
- summary: − Pv(t)|α 6 ‖D2G(t,xt)‖L(Cα,Xα) ‖ut − vt‖α +Mα ∫t 0 ‖D2F(s,xs)‖L(Cα,X)‖us − vs‖α ds (t − s)α 6 ( Lg + MαLf a1−α 1 − α ) − T(t1))A α(ϕ(0) − G(0,ϕ))‖ + kMα‖β‖∞ ∫t2 t1 (t2 − s) −αds +‖(T(t2 − t1)
- keywords: 0,a; adimy; amor; analysis; analytic; banach; bounded; chitioui; compact; conditions; continuous; cubo; d(a; d(aα; delay; differential; equations; equilibrium; existence; ezzinbi; following; functional; g(0,ϕ; g(t; khalil; lemma; lipschitz; mild; neutral; nonlinear; norm; operator; partial; point; positive; proof; rebey; s)f(s; s)α; semigroup; set; solution; space; stability; stable; strict; sup; t(t; taoufik; theorem; u(t; v(t; v(t))t≥0; x(t; x̃s)ds; z(t; ϕ(0; ϕ2‖α; ‖ϕ‖α
- versions: original; plain text
- cubo-1320
- author: Liu, Junwei; Zhang, Chuanyi
- title: Existence and stability of almost periodic solutions to impulsive stochastic differential equations
- date: 2013-03-01
- words: 7432
- flesch: 85
- summary: ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ 2 =E ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∑ 0<ti<t ′′ [T(t′ − t′′) − I]T(t′′ − ti)Ii(x(ti)) ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ 2 ≤E [ ∑ 0<ti<t ′′ ||T(t′ − t′′) − I||||T(t′′ − ti)||||Ii(x(ti))|| ]2 ≤E [ ( ∑ 0<ti<t ′′ ||T(t′ − t′′) − I||2e−δ(t ′′ −ti) ) ∑ 0<ti<t ′′ e−δ(t ′′ −ti)||Ii(x(ti))|| 2 ] ≤||T(t′ − t′′) − I||2 M2 1 − e−δγ ∑ 0<ti<t ′′ e−δ(t ′′ −ti)E||Ii(x(ti))|| 2 ≤||T(t′ − t′′) − I]T(t′′ − s)f(s,x(s))ds ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ 2 ≤E [ ∫t′′ 0 ||T(t′ − t′′)
- keywords: 4e ∣; 6e ∣; anal; apt; chuanyi; compact; continuous; cubo; differential; e ∣; equations; existence; e||f(t; e−δγ; f(t; following; impulsive; junwei; l2(p; lemma; liu; mean; mild; nonlinear; periodic; piecewise; proof; s)f(s)ds; s)g(s; s)g(s)dw(s; set; solutions; space; square; stability; stochastic; subset; system; t t(t; t(t −; t(t)x0; theorem; t−ǫ; u(s; x(s))ds ∣; x(s))dw(s; x(t; zhang; ∣ ∣; ∣ ∫t
- versions: original; plain text
- cubo-1321
- author: Anastassiou, George A.
- title: Approximation by discrete singular operators
- date: 2013-03-01
- words: 4834
- flesch: 95
- summary: Indeed we have that g′ (ν) = e− ν ξ ( 1 − ν ξ ) ≤ 0, by ξ ≤ 1 ≤ ν. So that, again by [4], we get that 1 + 2 ∞∑ ν=1 ( 1 + ν ξ ) e− ν ξ ≤ 1 + 2 [∫ ∞ 1 ( 1 + ν ξ ) e− ν ξ dν + ( 1 + 1 ξ ) e− 1 ξ ] =: (∗) (15) Using integration by parts we have ∫ ∞ 1 ξ xe−xdx = −e−x (x + 1) |∞1 ξ = e− 1 ξ ( 1 ξ + 1 ) .
- keywords: operators; |ν| ξ; ν2 ξ; ν2α; ν=1; ν∈z−{0; ξ2α
- versions: original; plain text
- cubo-1322
- author: Léandre, Rémi
- title: A Girsanov formula associated to a big order pseudo-differential operator
- date: 2013-03-01
- words: 1387
- flesch: 69
- summary: Keywords and Phrases: Pseudo-differential operators. We put by standard theory on pseudo-differential operators ([3], [4], [5]) L̂f(x) = ∫ Rd a(x, ξ)f̂(ξ)dξ (4) CUBO 15, 1 (2013)
- keywords: analysis; big; cubo; differential; eds; elliptic; exp[tltot][f(.)g; formula; girsanov; group; itô; l2(rd; léandre; measure; operator; order; pseudo; semi; stochastic; t)](x; theory
- versions: original; plain text
- cubo-1323
- author: Zhang, Yuan; Yang, Zuodong
- title: Existence of Entire Solutions for Quasilinear Elliptic Systems under Keller-Osserman Condition
- date: 2013-03-01
- words: 3614
- flesch: 83
- summary: [17] X.Wang, A.W.Wood, Existence and nonexistence of entire positive solutions of semilinear elliptic system , J.Math. We establish conditions on p and q that are necessary for the existence of positive solutions, bounded and unbounded, of the given equation.
- keywords: 0,∞; cubo; d−1; elliptic; entire; equations; existence; f(t; following; large; l−1; m−1; positive; quasilinear; radial; results; solutions; systems; v(r; yang; zhang; zuodong; φ1(r; ψ1(r
- versions: original; plain text
- cubo-1324
- author: Toni, Bourama
- title: Planar Pseudo-almost Limit Cycles and Applications to solitary Waves
- date: 2013-03-01
- words: 6478
- flesch: 68
- summary: btoni@vsu.edu ABSTRACT We investigate the existence of pseudo-almost limit cycles, a new class of non-periodicity at the interface of the theories of limit cycles and pseudo-almost periodicity. Keywords and Phrases: Limit cycles.
- keywords: applications; bourama; case; center; conditions; constant; continuous; cubo; cycles; definition; differential; equations; ergodic; example; existence; f(t; figure; following; forcing; form; function; h(t; isochronous; isolated; liénard; limit; limit cycles; linear; nonlinear; number; open; orbits; oscillations; oscillator; p(t; periodic; periodicity; perturbation; perturbed; phase; planar; point; pseudo; set; sin; small; solution; space; stable; state; systems; term; theory; time; toni; type; unique; waves; γ̄(t
- versions: original; plain text
- cubo-1325
- author: Aranda, Carlos Cesar
- title: On the Poisson’s equation −∆u = ∞
- date: 2013-03-01
- words: 2660
- flesch: 80
- summary: ∆u = ∞ in Ω ⊂ RN. For the same problem Hénon [15] suggested − ∆u =| x |l ur in Ω ⊂ R3.
- keywords: aranda; black; carlos; cluster; cubo; density; domain; equation; existence; function; globular; gm(um(x; gravity; lemma; lim; m→∞; non; poisson; potential; problem; proof; result; singular; solution; study; theorem; −∆u
- versions: original; plain text
- cubo-1326
- author: Arunkumar, M.
- title: Generalized Ulam - Hyers Stability of Derivations of a AQ - Functional Equation
- date: 2013-03-01
- words: 3338
- flesch: 80
- summary: − y) − 2fa(x) − fa(y) − y) − 2fa(x) − fa(y)
- keywords: a(x; additive; arunkumar; banach; cubo; derivations; equation; fa(2; functional; generalized; hyers; mapping; math; quadratic; rassias; stability; type; ulam; unique; ||x||s||y||s; ∥ ∥
- versions: original; plain text
- cubo-1327
- author: Pankov, Alexander
- title: Discrete almost periodic operators
- date: 2013-03-01
- words: 5069
- flesch: 74
- summary: Assumption (A2) is natural because it is necessary for the existence of bounded inverse operator A−1. We study the invertibility of such operators in that space, as well as in the space of almost periodic sequences.
- keywords: a(n; alexander; ap(e; banach; claim; continuous; corollary; cubo; differential; discrete; equations; favard; finite; following; form; functions; h(a; inverse; kernel; l(l∞(e; linear; l∞(e; norm; operator; order; pankov; periodic; proof; proposition; result; satisfies; sequence; set; solution; space; subspace; theorem; theory; values
- versions: original; plain text
- cubo-1328
- author: Hislop, Peter D.
- title: Fundamentals of scattering theory and resonances in quantum mechanics
- date: 2012-10-01
- words: 16603
- flesch: 73
- summary: Other topics concerning resonances include: (1) Complex-spectral deformation method and resonances (2) Obstacle scattering (3) Resonance free regions (4) Resonances for the wave equation (5) Resonances for elastic media (6) Resonances for manifolds hyperbolic at infinity (7) Semiclassical theory of resonances 34 Peter D. Hislop CUBO 14, 3 (2012) (8) Description of resonance wave functions (9) Approximate exponential decay of resonance states (10) Local energy decay estimates There are some reviews on resonances that cover many aspects of the theory in this list. Of course, we can introduce another pair of wave operators by interchanging the order of HV and H0.
- keywords: adjoint; analysis; analytic; asymptotic; behavior; bounded; bounds; case; christiansen; class; compact; completeness; complex; continuation; continuous; counting; cubo; cut; c∞0; dimensional; eigenvalues; estimate; evolution; example; existence; f ∈; family; finite; following; follows; formula; fourier; free; function; general; group; growth; half; hcont(hv; hislop; holds; imaginary; integral; invertible; l2(rd; limit; lower; l∞0; m(k; math; matrix; maximal; meromorphic; method; note; number; nv(r; odd; operator; order; orthogonal; pair; partial; particular; peter; plane; poisson; poles; positive; potentials; problem; proof; properties; property; proposition; quantum; real; recall; resolvent; resonances; result; right; rv(λ; s(λ; satisfies; scattering; sd−1; second; section; self; set; sheet; singular; small; smooth; spectral; spectrum; states; subspace; support; terms; theorem; theory; time; trace; transform; u0(t; unitary; upper; use; uv(t; wave; wave operators; zeros; zworski; λ ∈; ω±(hv
- versions: original; plain text
- cubo-1329
- author: Petkova, Violeta
- title: Spectral results for operators commuting with translations on Banach spaces of sequences on Zᴷ and Z⁺
- date: 2012-10-01
- words: 6765
- flesch: 89
- summary: Denote by µ(E) the space of multipliers on E. For z ∈ T = {z ∈ C : So we can identify M̃(rz) and µM(rz) for z ∈ T.
- keywords: a)r; banach; commuting; converges; cubo; denote; easy; f(z; f(zk; f)r; following; k∈n; l2(t; l2(z+; lemma; lim; multipliers; notice; n∈z; operator; petkova; proof; r ∈; resp; respect; results; sequence; set; shift; space; spectral; spectrum; s−1; theorem; toeplitz; topology; translations; violeta; zke; µ(e; ρ(s; σ(m; σ(s; ∈ ◦
- versions: original; plain text
- cubo-1330
- author: Banyaga, Augustin
- title: Erratum to “on the group of strong symplectic homeomorphisms”
- date: 2012-10-01
- words: 862
- flesch: 78
- summary: To prove that ∫1 0 | ∫ γx (nHn − mHm)|dt tends to zero when n, m → ∞, we write: | ∫ γx (nHn − mHm)| ≤ | ∫ γx (nHn − mHn)| + | ∫ γx (m(Hn − Hm) − n0(H n − Hm))| + | ∫ γx (n0)(H n − Hm)|, (1.4) for some large n0. Fix a point ∗ in M and for each x ∈ M, pick an arbitrary curve γx from ∗ to x, then un(x) := ∫ γx (nHn − Hn) = vn(x) − vn(∗).
- keywords: group; nhn; proof; strong; symplectic
- versions: original; plain text
- cubo-1331
- author: Tunç, Cemil; Ergören, Hilmi
- title: Uniformly boundedness of a class of non-linear differential equations of third order with multiple deviating arguments
- date: 2012-10-01
- words: 2427
- flesch: 84
- summary: Keywords and Phrases: Non-linear differential equation; third order; multiple deviating argu- ments; bounded solutions. Just as above, in the past few decades, the study for third order differential equations has been paid attention by many scholars.
- keywords: boundedness; differential; equations; f1(t; f2(t; m(t; max; nonlinear; order; solutions; tunç; uniformly; x(t; y(t; z(t
- versions: original; plain text
- cubo-1332
- author: Anastassiou, George A.
- title: Fractional Voronovskaya type asymptotic expansions for quasi-interpolation neural network operators
- date: 2012-10-01
- words: 3861
- flesch: 88
- summary: By [11] for n ∈ N, 0 < β < 1, we get ∞∑ k = −∞ : |nx − k| > n1−β Φ (nx − k) < ( e2 − 1 2 ) = Gn (f, x) − f (x) − N−1∑ j=1 f(j) (x) j! Gn ( (· − x) j ) (x) = θ∗n (x) , (27) where θ∗n (x) := 1 Γ (α) V (x) ⌊nx⌋∑ k=⌈na⌉ Φ (nx − k) ∫x k n ( J − k n )α−1 Dαx−f (J) dJ + ⌊nb⌋∑ k=⌊nx⌋+1 Φ (nx − k) ∫ k n x ( k n − J )α−1 Dα∗xf (J) dJ .
- keywords: anastassiou; f(j; fractional; k n; k=⌈na⌉; neural; α−1; ∞,[a; ∣ ∣
- versions: original; plain text
- cubo-1333
- author: Mohanta, S.K.; Mohanta, Srikanta
- title: A common fixed point theorem in G-metric spaces
- date: 2012-10-01
- words: 5060
- flesch: 88
- summary: x, y ∈ X} = inf { 1 2 | x − y | + 1 2 | x − T(x) |: x, y ∈ X } = 0. x, y ∈ X with y 6= T(y)} = inf {G(x, y, y) + G(x, T(x), T(x)) :
- keywords: common; complete; corollary; fixed; g(t(x; g(x; g(xn; g(y; inf; metric; point; space; t(x; t(y; t2(x; theorem
- versions: original; plain text
- cubo-1334
- author: Matsumoto, Akio; Szidarovszky, Ferenc
- title: An elementary study of a class of dynamic systems with two time delays
- date: 2012-10-01
- words: 3298
- flesch: 83
- summary: cos(υγ1)[υγ2 − ω(γ2 − γ1) sin(υγ1)] − ω)) is strictly increasing in υ, γ2 is strictly decreasing in υ.
- keywords: 2kπ; 2nπ; 2υω; analysis; case; class; cos(υγ1; cubo; curves; delays; dynamic; elementary; equation; l1(k; l2(k; region; segment; sin(υγ1; sin−1; stability; switches; systems; υγ2; − ω;
- versions: original; plain text
- cubo-1335
- author: Rao, K.P.R.; Kishore, G.N.V.; Van Luong, Nguyen
- title: A unique common coupled fixed point theorem for four maps under ψ - φ contractive condition in partial metric spaces
- date: 2012-10-01
- words: 3645
- flesch: 92
- summary: Regarding the concept of coupled fixed points introduced by Bhaskar and Lakshmikantham [17], in [4], Aydi proved some coupled fixed point theorems for the mappings satisfying contractive conditions in partial metric spaces. Using concept of coupled fixed points, Luong and Thuan in [18] proved some coupled fixed point theorems for a mapping F : X × X → X satisfying the following contractive condition in the partially ordered metric spaces (X,d,≤) ψ(d(F(x,y),F(u,v)))
- keywords: cauchy; common; cubo; f(x; fixed; lim; luong; max{ps(z2mk; metric; nguyen; n→∞; p(fu; p(fv; p(v; p(w2n; p(x; p(xn; partial; point; spaces; theorem; unique; w2n; w2nk; z2n; z2n−1; ψ(p(u
- versions: original; plain text
- cubo-1336
- author: Ibrahim, Rabha W.
- title: Existence of deviating fractional differential equation
- date: 2012-10-01
- words: 4389
- flesch: 79
- summary: Thus we have ‖Pu − Pv‖B ≤ L̂‖u − v‖B, which shows that P is Lipschitzian, hence continuous. − f(τ, v(τ), v(v(τ)))|dτ ≤ ∫t 0 (t − τ)α−1 Γ(α)
- keywords: banach; cauchy; convex; cubo; differential; equations; existence; expansive; f(τ; fixed; fractional; function; ibrahim; initial; iteration; iterative; liouville; mapping; math; non; operators; order; point; problem; rabha; riemann; solutions; space; subset; t2|; theorem; u(t; u(τ; value; |t1; γ(α; τ)α−1; ∣∣∣
- versions: original; plain text
- cubo-1337
- author: Banerjee, Shrabani; Choudhury, Binayak S.
- title: Weak and strong convergence theorems of a multistep iteration to a common fixed point of a family of nonself asymptotically nonexpansive mappings in banach spaces
- date: 2012-10-01
- words: 9558
- flesch: 94
- summary: − an1 − bn1)xn + an1T1(PT1) n−1yn+r−2 +bn1T1(PT1) n−1yn+r−3] (1.8) where {ani}, {bni}, {1 − ani − bni} are appropriate real sequences in [0, 1] for i − λm−1)( λm 1 − λ1 − λ2 − ....
- keywords: a1ni)(1 −; banach; banerjee; binayak; bnj; convergence; convex; cubo; exists; follows; i=1; infn→∞; iteration; iterative; j(p1 −; k=1; kin; lemma; lim; limn→∞; mappings; math; multistep; n(r−1; n2 −; n=1; nonempty; nonexpansive; nonself; nr −; n−1xn −; p[(1 −; point; real; s.choudhury; sequence; shrabani; space; strong; subset; theorems; uniformly; weak; λ1 −; ‖xn+1 −; − a1n(r−1; − bnr)g1(‖tr(ptr; − p2; − q‖; − t)p1; − xn‖; − y‖; − λ2; − λm−1
- versions: original; plain text
- cubo-1338
- author: Raj, Kuldip; Sharma, Sunil K.
- title: Some generalized difference double sequence spaces defined by a sequence of Orlicz-functions
- date: 2012-10-01
- words: 9800
- flesch: 91
- summary: Let lim i→∞ xik,l = xk,l, say for k, l = 1, 2, ...., nm. Proceeding in this way inductively, we have lim i→∞ xik,l = xk,l exists for each k,
- keywords: cubo; difference; double; inf; kl)−suk; l h; l k; l pk; l δ; l ρ; l ρ1; l ρ2; l=1; let; lim; lim k; lmk; math; m′′k; numbers; orlicz; positive; proof; sequence; spaces; sup; sup k; zn−1||; ∆mn; ∆mn xk
- versions: original; plain text
- cubo-1339
- author: Verma, Ram U.
- title: The ϵ−Optimality conditions for multiple objective fractional programming problems for generalized (ρ, η)−invexity of higher order
- date: 2012-06-01
- words: 4400
- flesch: 75
- summary: Let S∗ ∈ Q, let Fi, Gi, i ∈ {1, ..., p}, and Hj, j ∈ {1, ..., m}, be differentiable at S∗ ∈ Λ, and let there exist u∗ Let S, S∗ ∈ X, let the function F : X → ℜn with components Fi for i ∈ {1, ..., n}, be differentiable at S ∗. Definition 2.1.
- keywords: conditions; fi(s; function; generalized; gi(s; higher; invex; order; η(s; ∗ ∈
- versions: original; plain text
- cubo-1340
- author: Ouaro, Stanislas
- title: Weak and entropy solutions for a class of nonlinear inhomogeneous Neumann boundary value problem with variable exponent
- date: 2012-06-01
- words: 8994
- flesch: 92
- summary: Then, ( |u1| p(x)−2 u1 − |u2| p(x)−2 u2 ) Tk(u1 − u2) ≥ 0, ∀x ∈ Ω and ∀k > 0. then (u − ϕ) ∈ T 1,p(.) tr (Ω) and tr(u − ϕ) = tr(u)
- keywords: + ∫; = ∫; a(x,∇u1).∇(u1; a.e; boundary; class; converges; cubo; entropy; existence; exponent; following; follows; function; inequality; j(u; l(p−; lemma; lp(.)(ω; math; meas(ω; measurable; measure; neumann; nonlinear; ouaro; p(x)dx; p(x)−2; problem; proof; proposition; result; section; solution; space; stanislas; theorem; tk(un; u2)dx; uniqueness; v)dx; variable; w1,p(.)(ω; weak; |u2|; |u|p(x)−2; ‖f‖l1(ω; − ∫; ∣ ∣; ≤ ∫
- versions: original; plain text
- cubo-1341
- author: Gamara, Najoua; Ben Ahmed, Ali; Amine, Aribi
- title: A New proof of the CR Pohožaev Identity and related Topics
- date: 2012-06-01
- words: 5638
- flesch: 79
- summary: Given a piecewise C1 bounded domain Ω ⊂ Hn, we say that it is δ−starshaped with respect to a point ξ0 ∈ Ω, if denoting by N the outer unit normal to the boundary of τξ−1 0 (Ω), we have X.N ≥ 0 Hn be a bounded and connected domain such that 0 = (0, 0, 0) ∈ Ω and Ω is δ−starshaped with respect to this point.
- keywords: ahmed; ali; amine; aribi; a∇u; ben; boundary; br(ξ̄; c(ω; critical; cubo; domain; dvθ0; equation; existence; following; function; g(u; gamara; group; heisenberg; identity; lemma; najoua; new; non; pohoz̆aev; positive; problem; proof; respect; result; semilinear; solution; theorem; vector; yamabe; |∇hnu|; ω u; ∂xi; −∆hu
- versions: original; plain text
- cubo-1342
- author: Luna, M. E.; Shapiro, M.; Struppa, D. C.; Vajiac, A.
- title: Bicomplex Numbers and their Elementary Functions
- date: 2012-06-01
- words: 7198
- flesch: 75
- summary: M.E. Luna-Elizarrarás, M. Shapiro Departamento de Matemáticas, E.S.F.M del I.P.N., México. and D.C. Struppa1, A. Vajiac Schmid College of Science and Technology, Chapman University, Orange California, 1 email: struppa@chapman.edu ABSTRACT In this paper we introduce the algebra of bicomplex numbers as a generalization of the field of complex numbers. Instead of considering (z1,z2) as a point in C 2 we now consider, in analogy with what we did in the case of R2, a new space whose elements are of the form Z = z1 + jz2, where j is a new imaginary unit (i.e. j 2 = −1), which commutes with the original imaginary unit i. This creates a new algebra, the algebra of bicomplex numbers, and as we will CUBO 14, 2 (2012) Bicomplex Numbers and their Elementary Functions 63 show in the next sections, such an algebra enjoys most of the properties one would expect from a good generalization of the field of complex numbers.
- keywords: algebra; algebraic; bicomplex; bicomplex numbers; case; component; cos(z2; cosz; cubo; d.c; definition; elementary; elizarrarás; equation; example; exponential; ez1; following; form; formula; functions; holomorphic; idempotent; imaginary; inverse; invertible; jz2; limit; logarithm; luna; m.e; new; numbers; p(z; polynomials; properties; real; representation; roots; set; shapiro; sin(z2; solutions; structure; struppa; system; theory; trigonometric; vajiac; variable; z21
- versions: original; plain text
- cubo-1343
- author: D’alessandro, Paolo
- title: An immediate derivation of maximum principle in Banach spaces, assuming reflexive input and state spaces
- date: 2012-06-01
- words: 4087
- flesch: 70
- summary: But, also, ζ ∈ Rρ implies ∃u s.t.‖u‖ ≤ email: dalex@mat.uniroma3.it ABSTRACT We consider a standard setting for the norm optimal problem in Banach spaces and show that with a simple argument which invokes some appropriately selected powerful general Theorems for Banach spaces a straightforward derivation of the Maximum Principle is obtained. RESUMEN Consideramos una formulación estándar
- keywords: banach; case; closed; condition; cone; continuous; control; convex; cubo; extreme; fattorini; functionals; interior; linear; maximum; norm; optimal; points; principle; reachable; reflexive; set; sets; setting; spaces; state; support; theorem; void
- versions: original; plain text
- cubo-1344
- author: Breteaux, Sébastien
- title: Higher order terms for the quantum evolution of a Wick observable within the Hepp method
- date: 2012-06-01
- words: 11849
- flesch: 78
- summary: Writing T = L + A with L the C-linear and A the C-antilinear part of T we obtain |T∗z| 2 − |z| 2 = 〈L∗z,L∗z〉 + 〈A∗z,A∗z〉 + 〈L∗z,A∗z〉 + 〈A∗z,L∗z〉 − 〈z,z〉 = 〈z,LL∗z〉 + 〈z,AA∗z〉 + 〈LA∗z,z〉 + 〈z,LA∗z〉 − 〈z,z〉 = 〈z,2AA∗z〉 + 〈 v,z∨ 2 〉 + 〈 z2,v 〉 with v ∈ ⊗2 Z the vector such that for all z1, z2 ∈ Z, 〈z1 ⊗ z2,v〉 = 〈z1,LA∗z2〉. ,Qσ}(2)Wick U(σ,0)dσ holds as an equality of continuous operators from D(〈N〉m/2) to H, with 〈N〉 = (N2 + 1)1/2.
- keywords: adjoint; antilinear; application; associated; bogoliubov; breteaux; case; classical; comm; conjugation; continuous; cubo; definition; dimension; equality; equation; estimate; evolution; example; expansion; family; field; finite; flow; following; formula; fourier; general; hfin; higher; hilbert; implementable; lemma; limit; linear; math; mean; operator; order; parameter; phys; polynomial; proof; proposition; p≤m; quadratic; quantization; quantum; remark; respect; result; schmidt; second; section; self; semiclassical; set; sébastien; solution; space; symbol; symplectic; symplectomorphism; terms; theorem; time; transform; transformations; u(t; use; vector; weyl; wick; |z|2; ε/2; πε/2; ϕ(t; ϕ(t,0; ∂2z
- versions: original; plain text
- cubo-1345
- author: Grove, E. A.; Lapierre, E.; Tikjha, W.
- title: On the global behavior of 𝑥ᵤ₊₁ = |𝑥ᵤ|− 𝑦ᵤ − 1 and 𝑦ᵤ₊₁ = 𝑥ᵤ +|𝑦ᵤ|
- date: 2012-06-01
- words: 10175
- flesch: 99
- summary: x8K+3 + |y8K+3| = 24K+1x0 − 2 4K+1y0 + 2DK − 2 4K+1x0 − 2 4K+1y0 − 6DK − 1 = −24K+2y0 Hence x8K+2 = |x8K+1| − y8K+1 − 1 = 24Kx0 + 2 4Ky0 + 3DK + 1 − 2 4Kx0 +
- keywords: 22k; 22m+2; = −; behavior; case; claim; cubo; cycle; e.a; global; grove; integer; lapierre; lemma; period-3; period-3 cycle; proof; solution; statement; tikjha; true; xn+1; xn+2; xn+3; yn+1; yn+2; ≤ −
- versions: original; plain text
- cubo-1346
- author: Kian, Yavar
- title: Local energy decay for the wave equation with a time-periodic non-trapping metric and moving obstacle
- date: 2012-06-01
- words: 7723
- flesch: 85
- summary: According to (1.7), Rψ1,ψ2(θ) is a family of bounded operators analytic with respect to θ on {θ ∈ C : I(θ) > AT}. Then, Rψ1,ψ2(θ) admits a meromorphic continuation from {θ ∈ C : I(θ) >
- keywords: a(t; arguments; continuation; cubo; c∞0; decay; divx(a(t; energy; equation; estimate; existence; e−idθf′; finite; following; i(θ; kian; lemma; local; math; meromorphic; metrics; mixed; non; o(t; obstacle; odd; operator; p(t; periodic; perturbations; petkov; problem; proof; q(t; respect; results; rψ1,ψ2(θ; s)ψ2)(t; section; solution; theorem; time; trapping; u(t; u(t,0; v(t; wave; yavar; θ)dθ
- versions: original; plain text
- cubo-1347
- author: Kovalevsky, Alexander A.; Nicolosi, Francesco
- title: On a condition for the nonexistence of \(W\)-solutions of nonlinear high-order equations with L\(^1\) -data
- date: 2012-06-01
- words: 2639
- flesch: 78
- summary: For instance, if p < 2 − m/n, y ∈ Ω, v : Ω → R is a function such that for every x ∈ Ω\{y}, v(x) = ln |x − y|, B is a closed ball in Rn with the center y such that B ⊂ Ω, ψ1 ∈ C ∞ 0 (Ω) and ψ1 = 1 in B, then vψ1 ∈ ◦ Wm,p1(Ω)\L∞(Ω). (2.2) Then there exists f ∈ L1(Ω) such that problem (Pf) does not have W-solutions. Proof.
- keywords: a(x; condition; data; equations; function; hand; l1(ω; nonlinear; order; problem; solutions; α∈λ
- versions: original; plain text
- cubo-1348
- author: Sudo, Takahiro
- title: K-theory for the C*-algebras of continuous functions on certain homogeneous spaces in semi-simple Lie groups.
- date: 2012-06-01
- words: 4176
- flesch: 89
- summary: ∼= K0(C) ∼= Z, K1(C ∗(R2n)) ∼= K0(C) ∼= Z, K0(C ∗(Tn))
- keywords: case; continuous; cubo; c∗-algebras; exact; following; functions; group; homogeneous; k0(c; k1(c; k−1; n−1)n; odd; product; quotient; r)+; sequence; short; sn−1; so(n; space; sudo; theory; ←−−−−; −−−−→
- versions: original; plain text
- cubo-1349
- author: Anastassiou, George A.
- title: Univariate right fractional Ostrowski inequalities
- date: 2012-03-01
- words: 1914
- flesch: 92
- summary: ∫b x (J − x) m−α−1 (b − J) α−m dJ = α(α − 1) ...(α − m + 1) Γ (m − α) ∫b x (b − J) (α−m+1)−1 (J − x) (m−α)−1 dJ = α(α − 1) ...(α − m + 1) Γ (m − α) Γ (α − m + 1)Γ (m − α) Γ (1) = α(α − 1) ...(α − m + 1)Γ (α − m − 1) (α − 2) ...(α − m + 2) (α − m
- keywords: f(b; f(x)dx; fractional; inequalities; ostrowski; right; |f(x; α−1; ∣∣∣∣∣; ∥∥dαb−f∥∥∞,[a
- versions: original; plain text
- cubo-1350
- author: Wolf, Elke
- title: Integral composition operators between weighted Bergman spaces and weighted Bloch type spaces
- date: 2012-03-01
- words: 3455
- flesch: 85
- summary: Lemma 2 yields that for every f ∈ Av,p and every h, z ∈ D with z + h ∈ D, we have |f(z + h) − f′(w)| ≤ C 1 p M 1 p 1 M 2 p +1 2 v(0) 1 p |ϕw(z)|r‖f‖v,p (r − |ϕw(z)|)2(1 − |w|2) 2 p +1 v(w) 1 p ≤ 4C 1 p M 1 p 1 M 2 p +1 2 v(0) 1 p ρ(z, w)‖f‖v,p r(1 − |w|2) 2 p +1 v(w) 1 p .
- keywords: bergman; bloch; composition; condition; cubo; functions; h(d; integral; lemma; math; max; operators; p +1; spaces; sup; type; v(0; v(w; v(z; weighted; weights; wolf; |w|2; |z|2; ρ(z; ‖f‖v
- versions: original; plain text
- cubo-1351
- author: Bernardino, A. Thiago
- title: Remarks on cotype and absolutely summing multilinear operators
- date: 2012-03-01
- words: 2005
- flesch: 78
- summary: If Xj has finite cotype sj ≥ 2, j = 1, ..., k and 1 ≤ 1/s1 + · · · + 1/sk, then Πnp;p1,...,pk,q,...,q (X1, ..., Xn; Y) j Π n r;r1,...,rk,q,...,q (X1, ..., Xn; Y) , where pj = p and rj = r for all j = 1, ..., k, for all r [15] D. Popa, Reverse inclusions for multiple summing operators, J. Math.
- keywords: cotype; multilinear; operators; pellegrino; spaces; summing; theorem
- versions: original; plain text
- cubo-1352
- author: Dimassi, Mouez; Zerzeri, Maher
- title: Spectral shift function for slowly varying perturbation of periodic Schrödinger operators
- date: 2012-03-01
- words: 7221
- flesch: 79
- summary: March 2012 Spectral shift function for slowly varying perturbation of periodic Schrödinger operators. Paris 13, LAGA, (UMR CNRS 7539), F-93430 Villetaneuse, France, email: zerzeri@math.univ-paris13.fr ABSTRACT In this paper we study the asymptotic expansion of the spectral shift function for the slowly varying perturbations of periodic Schrödinger operators.
- keywords: absorption; assume; assumption; asymptotic; class; classical; cubo; c∞0; dimassi; domain; ej,−+(z; energy; expansion; f(µ; following; function; hamiltonian; identity; l2(t∗; lemma; math; neighborhood; non; operator; p(h; p(k; periodic; perturbation; perturbed; potential; proof; proposition; pseudodifferential; r;h; r;z; recall; respect; scattering; schrödinger; semi; shift; simple; small; spectral; ssf; subsection; theorem; theory; trace; zerzeri; λ(k; λp(k; ϕ(x
- versions: original; plain text
- cubo-1353
- author: Danchev, Peter
- title: Units in Abelian Group Algebras Over Direct Products of Indecomposable Rings
- date: 2012-03-01
- words: 1847
- flesch: 77
- summary: [Dc] P. V. Danchev, Warfield invariants in commutative group rings, J. Algebra Appl. Mollov and N. A. Nachev, Unit groups of commutative group rings, Commun.
- keywords: abelian; algebras; commutative; cubo; danchev; direct; exp(g0; finite; group; indecomposable; isomorphism; mixed; prime; rings; u(rg; units
- versions: original; plain text
- cubo-1354
- author: Burton, T. A.; Zhang, Bo
- title: Bounded and periodic solutions of integral equations
- date: 2012-03-01
- words: 7305
- flesch: 91
- summary: = D(t, s)(t − s)2 ∣∣∣t b + 2 ∫t b D(t, s)(t − s)ds = −D(t, b)(t − b)2 + 2 ∫t b D(t, s)(t − s)ds for each b < t. Since D(t, s) ≥ 0 and Ds(t, s) ≥ 0, letting b → −∞, we see that∫t −∞Ds(t, s)(t − s) ≤ p ≤ T, and for s ≤ hn we have ∫hn s |g(x(v))|dv ≤ ∫tn+1 s |g(x(v))|dv ≤ M(tn+1 − s).
- keywords: a(t; boundedness; burton; c(t; constant; continuous; convex; ct(t; cubo; d(t; ds(t; equations; functional; g(x(u))du; hold; integral; liapunov; periodic; proof; s)ds; s)g(x(s))ds; solution; sup; t)g(x; theorem; t−h; v(t; x(t; xg(x; zhang; |cs(t; |x|; ∣∣∣∣; ∫t s; ∫t t−h; ∫tn
- versions: original; plain text
- cubo-1355
- author: Goswami, Anjali
- title: Special recurrent transformation in an NPR-Finsler space
- date: 2012-03-01
- words: 3487
- flesch: 83
- summary: (4.19) Now £Hijk = LH i jk + µH i jkrv r − µrH r jkv i + µjH i rkv r + µkH i jrv r. Transvecting (4.19) by vm and using (3.2) in the above equation, we get = (δih − l ilh)lrv r + li(ghr − lhlr)v r. Contracting the indices i and h and using δii = n and l rlr = 1, we get (n − 1)lrv r = 0.
- keywords: affine; bjµk; commutation; cubo; curvature; differentiating; field; finsler; formula; hijk; jkh; kind; motion; npr; pandey; recurrent; respect; space; special; tensor; transformation; transvecting; vector; view; ẋi; µjk
- versions: original; plain text
- cubo-1356
- author: Georgiev, S.; Morais, J.; Spross, W.
- title: New Aspects on Elementary Functions in the Context of Quaternionic Analysis
- date: 2012-03-01
- words: 6048
- flesch: 76
- summary: [f(p)]3k, where the coordinate-functions [f]i (i = 0,1,2,3) are real-valued functions defined in H. As in the case with complex functions we have the standard operations on quaternion functions. The proof is a consequence of Theorem 3.6. 4 Trigonometry revisited In this section we define quaternion trigonometric functions.
- keywords: 0,±1,±2; analysis; arccos; arg(p; aspects; complex; context; cos(p; cosine; cubo; definition; elementary; exponential; following; follows; functions; general; georgiev; hyperbolic; inequality; inverse; lim; ln(1; ln(p; logarithm; loge; morais; multiple; n=1; natural; new; number; n−→∞; p20; proof; properties; quaternion; real; sequence; sgn(p; spröß; theorem; trigonometric; value; |p|; |p|2; ν=1; ∣∣∣1
- versions: original; plain text
- cubo-1357
- author: Maher, Philip J.; Sal Moslehian, Mohammad
- title: More on approximate operators
- date: 2012-03-01
- words: 2266
- flesch: 75
- summary: − I‖ ≤ � there corresponds a unitary operator U such that ‖T − U‖ < �. f∥∥ ≤ �‖f‖p (a) and ‖ [ T2T∗ − T ] f‖ ≤ �‖f‖p (b) 114 Philip J. Maher and Mohammad Sal Moslehian CUBO 14, 1 (2012) for given � > 0 and a real number p.
- keywords: approximate; b(h; cubo; exact; example; generalized; i]f‖; inverse; isometries; isometry; lemma; moslehian; operator; partial; proof; real; ‖f‖p
- versions: original; plain text
- cubo-1358
- author: Eljamal, E. A.; Darus, M.
- title: Majorization for certain classes of analytic functions defined by a new operator
- date: 2012-03-01
- words: 2011
- flesch: 84
- summary: + (D0f(z))′ zλ1 p + λ2(k − p) = zp + Σ∞k=p+1 [ p + (λ1 + λ2)(k − p) p + λ2(k − p) ] akz k, and D2n,λ1,λ2,p = D 1 n,λ1,λ2,p f(z) 121 = zp + Σ∞k=p+1 [ p + (λ1 + λ2)(k − p) p + λ2(k − p) ]2 akzk.
- keywords: analytic; class; darus; derivative; f(z; functions; majorization; nλ1,λ2,pg(z; operator; p+1; p+λ2(k−p; λ2(k
- versions: original; plain text
- cubo-1359
- author: Argyros, Ioannis K.; Hilout, Saïd
- title: On the semilocal convergence of Newton–type methods, when the derivative is not continuously invertible
- date: 2011-10-01
- words: 4124
- flesch: 84
- summary: ‖ ≤ ‖ x − y ‖ (2 γ + 3 (‖ x ‖ + ‖ y ‖)) 8 ≤ ‖ x − y ‖ (2 γ + 6 R + 6 ‖ u0 ‖) 8 = γ + 6 R + 3 4 ‖ x − y ‖, ‖ F′(x) − F′(u0) On the semilocal convergence of Newton–type · · · 11 Concerning the error estimates, if: (L − 2 L0) η + 2 (a + 1) 1 − L0 η (1 − η) + L η < 1 + 2 a, (3.6) then, we have v0 = t0, v1 = t1, v2 = t2, t3 − t2 < v3 − v2.
- keywords: argyros; banach; convergence; cubo; equation; hilout; hold; methods; newton; operator; q(s; semilocal; sequence; solution; space; theorem; tk+1; tm+1; type; u(x0; xm+1; xn+1
- versions: original; plain text
- cubo-1360
- author: Mezei, Razvan A.
- title: Applications and Lipschitz results of approximation by smooth Picard and Gauss-Weierstrass type singular integrals
- date: 2011-10-01
- words: 10298
- flesch: 98
- summary: γ ≤ 1, for any δ > 0.Then ‖∆(x)‖p ≤ (Γ (p (r − 1 + γ + n) + 1)) 1 p 2(r+γ+n)K [ (n − 1)!q 1 q p r− 1 q +γ+n (q(n − 1) + 1) 1 q (p (r − 1 + γ)
- keywords: condition; corollary; cubo; f(x; lipschitz; proof; proposition; section; singular; theorem; |t|; ξ(f; ω2(f
- versions: original; plain text
- cubo-1361
- author: Kumar Saraf, Ratnesh; Caldas, Miguel
- title: On strongly Fβp-irresolute mappings
- date: 2011-10-01
- words: 3194
- flesch: 84
- summary: Define fuzzy sets A(a) [22] Yalvac T.H., Fuzzy sets and functions on fuzzy spaces, J. Math Anal.
- keywords: closed; continuous; cubo; f(a; f(xt; fpo(x; fuzzy; fuzzy β; fβp; f−1(v; irresolute; mapping; math; open; point; preirresolute; resp; saraf; set; sets; spaces; theorem; topological
- versions: original; plain text
- cubo-1362
- author: Banerjee, Abhijit
- title: Some uniqueness results on meromorphic functions sharing three sets II
- date: 2011-10-01
- words: 5043
- flesch: 92
- summary: We say that f and g share a CM, provided that f − a and g − a have the same zeros with the same multiplicities. Similarly, we say that f and g share a IM, provided that f − a and g − a have the same zeros ignoring multiplicities.
- keywords: + s(r; constant; definition; functions; g share; integer; lemma; let; meromorphic; multiplicity; n +; n(r; non; points; proof; share; sharing; theorem; uniqueness
- versions: original; plain text
- cubo-1363
- author: Massamba, Fortune
- title: Lightlike geometry of leaves in indefinite Kenmotsu manifolds
- date: 2011-10-01
- words: 8916
- flesch: 75
- summary: Y − 2g(φ X, Y)φ − v(ANX)E − v(A ∗ EX)N + φ(ANX) + τ(X)U, (4.8)
- keywords: b(x; bundle; c(x; civita; connection; contact; cubo; curvature; distribution; field; follows; form; fundamental; g(x; g(y; geodesic; geometry; hypersurface; indefinite; integrable; kenmotsu; killing; leaf; leaves; levi; lie; lightlike; lightlike hypersurface; local; m(c; manifolds; massamba; metric; non; parallel; proof; respect; riemannian; s(tm; sasakian; screen; second; semi; space; structure; submanifolds; tangent; tensor; theorem; umbilical; vector; φ(n(tm; φ(tm⊥
- versions: original; plain text
- cubo-1364
- author: Khaled, Hleili; Slim, Omri; Rachdi, Lakhdar
- title: Uncertainty principle for the Riemann-Liouville operator
- date: 2011-10-01
- words: 8050
- flesch: 88
- summary: respectively q. Let us pick d1,d2 ∈ R, such that d1 > 2α + 3 and d2 > 2. If ∫ ∫ Γ+ ∫
- keywords: = ∫; beurling; cubo; dm2(r; dγ̃α(µ,λ; dνα(r; e |(r; fourier; function; hleili; hörmander; khaled; lakhdar; liouville; measurable; omri; operator; polynomial; principle; proof; r |f(r; rachdi; real; relation; respect; riemann; slim; theorem; transform; uncertainty; variable; x)dm2(µ,λ; x)||(µ,λ)|; |f(r; |wα(f)(r; ∫ +; ∫ r
- versions: original; plain text
- cubo-1365
- author: Diagana, Toka; Mohamed, Ahmed
- title: Pseudo-almost automorphic solutions to some second-order differential equations
- date: 2011-10-01
- words: 8100
- flesch: 82
- summary: = P(t), u ∈ Rn, t ∈ R, (1.1) where A is an n×n-matrix whose eigenvalues are positive, c,d,k are positive constants, H : Rn 7→ R n is a locally Lipschitz function, P : In this paper, using techniques developped in [36], we obtain some reasonable sufficient con- ditions, which do guarantee the existence of pseudo-almost automorphic solutions to u′′(t) + au′(t) + bAu = f(t,u), t ∈ R, (1.2) where A : D(A)
- keywords: abstract; ahmed; anal; applications; automorphic; banach; continuous; cubo; d(a; diagana; differential; equations; evolution; existence; f(t; following; functions; lim; linear; math; mohamed; n=1; norm ∥; operator; order; parabolic; partial; periodic; pseudo; second; sectorial; semigroup; solutions; space; theorem; toka; ∣ ∣; ∥ ds; ∥ eju; ∥ f1(s; ∥ k−1n; ∥ t(t)px; ∥ u(t; ∥ v(s; ∥ β; ∥ ψ(t; ∥ ∥; ∥ ;
- versions: original; plain text
- cubo-1366
- author: Kumar Hui, Shyamal
- title: On weak concircular symmetries of trans-Sasakian manifolds
- date: 2011-10-01
- words: 4074
- flesch: 85
- summary: [ (2n − 1){α2 − (ξβ) −β2} − n − 2 n(n − 1) r ] + [ α 2 − (ξβ) − β2 − r n(n − 1) ] η(U)D(ξ). [ (2n − 1){(α2 − β2)η(U) − (Uβ)} − ((φU)α) − n−2 n(n−1) rη(U) (2n − 1){α2 − (ξβ) − β2} − n−2 n(n−1) r ] − 2n{2α(ξα) − 2β(ξβ) − (ξ(ξβ))}
- keywords: a(x; associated; concircular; forms; manifold; n(n −; r n; ricci; sasakian; symmetric; tensor; trans; weakly; ξ(ξβ; − 1){(xβ; − dr(x; − n−2; − r; − β2
- versions: original; plain text
- cubo-1367
- author: Holm, Michael
- title: Sum and Difference Compositions in Discrete Fractional Calculus
- date: 2011-10-01
- words: 10980
- flesch: 87
- summary: [ µ + 1 Γ (ν) t−ν∑ s=a+µ (t − σ(s))ν−1(s − a)µ − (t − ν + 1 − a)µ+1 ] . − ∆k−1f(a) Γ (ν) (t − a)ν−1 = ∆2−νa ∆ k−2 f(t) − ∆k−1f(a) Γ (ν) (t − a)ν−1 − ∆k−2f(a) Γ (ν − 1) (t − a)ν−2 = · · · · · · · · · · · · · · · · · · · · · · ·· = ∆k−νa f(t) − k∑ i=1 ∆k−if(a) Γ (ν − i + 1) (t − a)ν−i = ∆k−νa f(t)
- keywords: a+m−µ∆; af(t; calculus; case; compositions; cubo; definition; difference; domains; f(a +; f(s; f(t; fractional; function; general; holm; i=0; i=1; initial; j +; k=0; m −; michael; n −; na+n−ν; na+µ+ν; na+ν; n−1∑; order; p=0; paper; power; problem; proof; r =; rule; solution; sum; sums; t −; theorem; t−ν∑; value; y(t; ν −; νth; σ(s))ν−1(s −; ∆−νa; − a)µ; − a)ν−1; − k; − k−1∑; − m−1∑; − p; − µ; − σ(s))ν−1
- versions: original; plain text
- cubo-1368
- author: Verma, Ram U.
- title: Linear convergence analysis for general proximal point algorithms involving (H, η) − monotonicity frameworks
- date: 2011-10-01
- words: 3467
- flesch: 68
- summary: if 〈u∗ − v∗, u − v〉 ≥ ‖u The map M is said to be: (i) (η)− monotone if 〈u∗ − v∗, η(u, v)〉 ≥ 0
- keywords: algorithm; analysis; applications; constant; convergence; cubo; generalized; graph(m; h(x∗)‖; journal; mapping; monotone; monotonicity; nonlinear; point; problems; proximal; variational; verma; η)−
- versions: original; plain text
- cubo-1369
- author: Rachdi, L.T.; Rouz, A.
- title: Homogeneous Besov spaces associated with the spherical mean operator
- date: 2011-06-01
- words: 11218
- flesch: 95
- summary: Rn (∫b a f ∗ φt ∗ φt(s,y) dt t ) τ(r,−x)ψ̌(s,y) dνn(s,y), and by Fubini’s theorem, we obtain f ∗ ψ(r,x) = lim a→0+ b→ +∞ ∫b a (∫ +∞ 0 ∫ From i) of Proposition 8, we deduce that the function f ∗ φt ∗ φt belongs to the space E∗ ( R ×
- keywords: + ∞; 1,νn; 2n+1; = +; = ∫; a.rouz; besov; cubo; dt t; dνn(s; function; g(t; homogeneous; l.t.rachdi; lp(dνn; math; mean; operator; proof; relation; s1∗,0(r; space; spherical; s∗(r; theorem; transform; µ,λ; φt(r; φρs; ∈ r; ∥∥φ; ∥∥ψ; ∫ +
- versions: original; plain text
- cubo-1370
- author: Gal, Sorin G.
- title: Remarks on the generation of semigroups of nonlinear operators on p-Fréchet spaces, 0 < p < 1
- date: 2011-06-01
- words: 9348
- flesch: 86
- summary: One of the main result in [5] is the Chernoff-type formula etA(x) = ĺımn→ ∞ ( I − t n A )−n (x), for A a bounded linear operator on a p-Fréchet space with 0 < ∈ lp, the real functions gk,r(x)(t) are differentiable (in the classical sense) with respect to t ∈
- keywords: a(0; affine; banach; case; cauchy; compact; continuous; convergent; convex; corollary; cubo; denote; dissipative; family; follows; fréchet; functions; gal; generation; jn t; k ∈; l1)∗; limit; limk→; lipschitz; lp[0; nk t; nonlinear; norm; operator; problem; proof; remarks; result; semigroups; sequence; solution; sorin; space; subsequence; subsets; t n; t)(x; theorem; u(t; uk(x)(t; un(t; |gnk; ||(i; ∈ l
- versions: original; plain text
- cubo-1371
- author: Shelah, Saharon
- title: On λ strong homogeneity existence for cofinality logic
- date: 2011-06-01
- words: 5633
- flesch: 85
- summary: ,aεn−1, b̄]}; note that Pβ(xε)) t(ε,β) ∈ Γ when β < α,ε < ζ and t(ε,β) is the truth value of aε ∈ M 2 β. 3) M is sequence (∆,κ)-homogeneous when: ∆ ⊆ L(τM) and if ζ < κ,ā ∈ ζM,b̄ ∈ ζM and tp∆(ā,∅,M) = tp∆(b̄,∅,M) then for every c ∈ M for some d
- keywords: beth; cardinality; cofinality; cubo; definition; demostración; existence; kec; kecα; logic; m(m̄; model; order; property; quantifier; saharon; sequence; set; shelah; strongly; theory; type; use; ≤kα
- versions: original; plain text
- cubo-1372
- author: D’alessandro, Paolo
- title: Closure of pointed cones and maximum principle in Hilbert spaces
- date: 2011-06-01
- words: 4834
- flesch: 74
- summary: z ∈ Rρ} The existence of solutions of this linear program derive from the fact that Rρ is convex and weakly compact and the functional is continuous (and hence also weakly continuous). z ∈ Rρ} Call the maximum m, then m = ρ ‖L∗ Γ n‖ (n, GΓ n) = ρ(n, GΓ n) 1/2 = ρ‖L∗Γ n‖ 1/2 84 Paolo d’Alessandro CUBO 13, 2 (2011) Recall that m > 0.
- keywords: case; closed; closure; cone; continuous; control; convex; cubo; fact; hilbert; interior; known; linear; maximum; minimum; norm; normal; origin; point; pointed; polar; principle; quasi; r∧ρ; set; space; support; theorem; topology; unique; vectors
- versions: original; plain text
- cubo-1373
- author: Brackx, F.; De Schepper, H.; Soucek, V.
- title: Differential forms versus multi-vector functions in Hermitean Clifford analysis
- date: 2011-06-01
- words: 10980
- flesch: 73
- summary: For A = {ii, ..., ir} ⊂ M we denote dXA\{ij} = dXi1 ∧ ... ∧ dXij−1 ∧ [dXij ∧] dXij+1 ∧ ... = ej • (ei1 ∧ ... ∧ eir ) = r∑ k=1 (−1)kδjik eA\{ik} with eA\{ik} = ei1 ∧ ... ∧ eik−1 ∧ [eik ∧] eik+1 ∧ ... ∧ eir while for the outer product ej ∧ eA = ej ∧ (ei1 ∧ ... ∧ eir )
- keywords: = −; action; algebra; analysis; basis; brackx; c2n; clifford; complex; cubo; derivative; differential; differential forms; dirac; dot; dxj; dzcj; er(g; euclidean; euler; ez⌉; following; follows; forms; functions; fundamental; hermitean; hodge; i=1; identification; iii; inner; j=1; j=1 ej; j=1 f; kählerian; monogenic; monogenicity; multi; multivector; n∑ j=1; open; operators; product; properties; property; proposition; r0,m; real; schepper; setting; smooth; souček; space; structure; system; values; vector; way; wedge; witt; ∂xj; ∂zc; ∂z†; ∂∗c
- versions: original; plain text
- cubo-1374
- author: Chen, Yuqing; O’Regan, Donal; P. Agarwal, Ravi
- title: Degree theory for the sum of VMO maps and maximal monotone maps
- date: 2011-06-01
- words: 2961
- flesch: 89
- summary: ∈ Ω ∩ D(T ), gn ∈ − f|dy < β 2 (2.2) for all ǫ < ǫ0, x ∈ Ω and ǫ < d(x,∂Ω) 2 .
- keywords: brezis; bǫ(y; d(t; degree; maps; math; maximal; monotone; open; pag; proof; theory; vmo; ∂ωǫ
- versions: original; plain text
- cubo-1375
- author: Ebrahimi Bagha, D.; Amini, M.
- title: Module amenability for Banach modules
- date: 2011-06-01
- words: 4647
- flesch: 79
- summary: Keywords and phrases: Banach modules, module amenability, weak module amenability, semi- group algebra, inverse semigroup. June 2011 Module amenability for Banach modules D. Ebrahimi Bagha Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran. email: d.ebrahimibagha@iauctb.ac.ir and M. Amini Department of Mathematics, Tarbiat Modares University, P.O.Box 14115-175, Tehran, Iran.
- keywords: algebra; amenability; amenable; amini; approximate; a⊗̂a; banach; bimodule; bounded; case; closed; commutative; compact; cubo; dense; derivation; diagonal; example; group; homomorphism; ideal; identity; l1(g; module; module amenability; point; proof; proposition; range; right; semigroup; weak; ∆(e
- versions: original; plain text
- cubo-1376
- author: Benchohra, Mouffak; Hamidi, Naima
- title: Fractional Order Differential Inclusions via the Topological Transversality Method
- date: 2011-06-01
- words: 3811
- flesch: 79
- summary: ∈ F(t,y(t)), t ∈ J := ∈ F(t,y), t ∈ J :=
- keywords: anal; benchohra; boundary; bounded; c(j; caputo; compact; continuous; convex; cubo; derivative; differential; equations; existence; f(t; fractional; function; inclusions; irn; map; math; nonlinear; order; point; problems; results; set; solutions; theorem; topological; transversality; usc; value; y(t; γ(α
- versions: original; plain text
- cubo-1377
- author: Khosravi, B.; Khatami, M.; Akhlaghi, Z.
- title: Some new characterizations for PGL(2, q)
- date: 2011-06-01
- words: 5544
- flesch: 91
- summary: Now using the classification of finite simple groups and the results in Tables 1-3 in [10], we consider the following cases. [15] W. Shi, Pure quantitative characterization of finite simple groups (I), Progr.
- keywords: abelian; case; conjecture; contradiction; cubo; divides; finite; frobenius; graph; group; hand; lemma; new; non; odd; order; pgl(2; prime; proof; q′2; shi; simple; subgroup; theorem
- versions: original; plain text
- cubo-1378
- author: Devi, R.; Selvakumar, A.; Parimala, M.; Jafari, S.
- title: On strongly α-𝘐-𝘖𝑝𝑒𝑛 sets and a new mapping
- date: 2011-03-01
- words: 3983
- flesch: 90
- summary: 2 R.Devi, S.Jafari, A.Selvakumar and M.Parimala CUBO 13, 1 (2011) 1 Introduction The notion of α-open sets was introduced and investigated by Njastad [16]. The following theorem gives a characterization of open sets in terms of strongly α-I-open sets and AI -sets.
- keywords: continuous; cubo; ideal; open; open set; pre; proof; set; sets; space; subset; theorem; topological; −1(v
- versions: original; plain text
- cubo-1379
- author: Manaka, Hiroko; Takahashi, Wataru
- title: Weak convergence theorems for maximal monotone operators with nonspreading mappings in a Hilbert space
- date: 2011-03-01
- words: 5570
- flesch: 84
- summary: Thus we have 0 ≤ (1 − d)a(2α − d) Since B is monotone, we have that for (u, v) ∈ B, 〈 yn − u, 1 λn (xn − yn − λnAxn)
- keywords: closed; convergence; convex; cubo; hilbert; inverse; lim; mapping; maximal; monotone; nonempty; nonexpansive; nonspreading; operator; points; real; set; space; subset; takahashi; theorem; weak; ‖axn
- versions: original; plain text
- cubo-1380
- author: Yamaleev, Robert M.
- title: Evolutionary method of construction of solutions of polynomials and related generalized dynamics
- date: 2011-03-01
- words: 6672
- flesch: 64
- summary: − k − 1) 2 RkP n−k−2 1 + Rn−2. − k)! .
- keywords: algorithm; case; coefficients; construction; cubic; cubo; degree; dp1; dynamics; eigenvalues; elliptic; energy; eq.(2.1; eq.(2.4; equal; equations; evolution; evolutionary; expression; field; following; formula; functions; generalized; invariant; k=2; method; motion; n−1∑; order; original; p(x; parameter; polynomial; potential; problem; process; proof; quadratic; r.m.yamaleev; related; relativistic; respect; robert; roots; section; set; simultaneous; solutions; theory; translations; weierstrass; yamaleev
- versions: original; plain text
- cubo-1381
- author: Argyros, Ioannis K.; Hilout, Saïd
- title: On the solution of generalized equations and variational inequalities
- date: 2011-03-01
- words: 4963
- flesch: 84
- summary: Then, since −f (u) ∈ g(u), and −f (v) ∈ g(v), it follows from (1.2) that: α ‖u − v‖2 ≤ (f (v) − f (u), u − v) = −(f (u) − f (v) − f ′(u0)(u − v), u − v) − (f ′(u0) ‖um − um−1‖ ≤ tm − tm−1, (2.28) ‖um − u0‖ ≤ tm, (2.29) ‖u − um‖ ≤ t⋆ − tm.
- keywords: argyros; condition; cubo; equations; generalized; hilout; induction; inequalities; ioannis; kantorovich; l0 l; lemma; let; math; newton; nonlinear; operator; problem; säıd; solution; theorem; tk+1; uko; unique; variational
- versions: original; plain text
- cubo-1382
- author: Anastassiou, George A.
- title: 𝘲− fractional inequalities
- date: 2011-03-01
- words: 3230
- flesch: 90
- summary: x − qx , (x 6= 0) , (5) (Dqf ) (0) = lim x→0 (Dqf ) (x) , (6) and the q−derivatives of higher order: D 0 q f = f, D n q f = Dq ( D n−1 q f ) , n = 1, 2, 3, ... (7) In the case of a = xqn, then (9) becomes ∫ x xqn f (t) dqt = x (1 − q) n−1 ∑ k=0 f ( xq k ) q k , (10) see also
- keywords: dqt; q t; w1q; w2q; wqn; α−1; ∣ ∣
- versions: original; plain text
- cubo-1383
- author: Diagana, Toka
- title: Existence of pseudo almost automorphic solutions to a nonautonomous heat equation
- date: 2011-03-01
- words: 9821
- flesch: 84
- summary: Define for all n = 1, 2, ..., the sequence of integral operators 90 Toka Diagana CUBO 13, 1 (2011) Φn(t) = ∫ n n−1 U(t,t − s)P(t − s)φ(t − s)ds, and Ψn(t) − s)U(t,t − s)P(t − s)φ(t − s)ds and Ψn(t)
- keywords: = ∫; a(t; abstract; acquistapace; anal; applications; assumptions; automorphic; banach; c(r; c(α; collection; composition; continuous; cubo; definition; diagana; differential; equations; evolution; existence; f(t; family; following; functions; lim; linear; lp((0; math; nonlinear; n−1; operators; p((0; paap(x; parabolic; periodic; proof; pseudo; s)ds; s)p(s)x; s)p(t; s)−α; sequence; solutions; space; theorem; toka; t−n+1; u ∈; u(t; uniformly; τnk; φn(t; − ∫; ∥∥∥; ∥∥∥ ≤
- versions: original; plain text
- cubo-1384
- author: Kreinovich, Vladik
- title: Engineering design under imprecise probabilities: computational complexity
- date: 2011-03-01
- words: 6845
- flesch: 72
- summary: [b, b] of possible values of b. [b, b] of possible values of b; • we want to describe the set of all values of a for which f (a, b)
- keywords: algorithm; backcalculation; bounds; box; boxes; c(x; case; complexity; computational; constraints; corresponding; cubo; c̃0; c̃1; c̃i; design; engineering; example; fc(x; following; form; general; guarantee; hard; imprecise; inequalities; inequality; interval; kreinovich; max; possible; probabilities; probability; problem; s=1; smallest; solution; terms; values; vladik
- versions: original; plain text
- cubo-1385
- author: Liu, Xiaoling; Yuan, Dehui; Yang, Shengyun; Lai, Guoming; Xu, Chuanqing
- title: Multiple objective programming involving differentiable (𝛨ᵨ, 𝘳)-invex functions
- date: 2011-03-01
- words: 4888
- flesch: 71
- summary: For convenience, we assume that S be a Hp-invex set, Hp is right differentiable at 0 with respect to variable λ for each given pair x, u ∈ S, and T denotes the right derivative of Hp at 0 with respect to variable λ for each given pair x, u ∈ S; ▽f (x) , (▽1f (x), . . .
- keywords: analysis; conditions; cubo; differentiable; efficient; feasible; fi(x̄; functions; h′p(x; j=1; journal; mathematical; mfp; optimality; problem; programming; r)-invex; set; solution; theorem; vop
- versions: original; plain text
- cubo-1386
- author: Singh Saluja, Gurucharan; Kumar Nashine, Hemant
- title: Strong convergence of an implicit iteration process for a finite family of strictly asymptotically pseudocontractive mappings
- date: 2011-03-01
- words: 3438
- flesch: 85
- summary: There holds the following identities: (i) ‖x − y‖ 2 = ‖x‖ 2 − ‖y‖ 2 − 2〈x − y, y〉 ∀ x, y ∈ H. (ii) ‖tx + (1 − t)y‖ 2 = t ‖x‖ 2 + (1 − t) ‖y‖ 2 − t(1 − t) − p‖ ≤ (1 + dn) 1/2 ‖xn − p‖ .
- keywords: common; convergence; cubo; family; finite; hilbert; i=0; implicit; iteration; mappings; n=1; process; pseudocontractive; sequence
- versions: original; plain text
- cubo-1388
- author: Chu, Wenchang; Wang, Chenying; Zhang, Wenlong
- title: Partial fractions and 𝘲-binomial determinant identities
- date: 2010-10-01
- words: 3892
- flesch: 81
- summary: Similarly, the q-binomial relation [ X i + Y j j ][ A + X i − j n − j ] = q (Y j −A) j [ n j ][ A + X i n ] (q−X i −Y j ; q) j (q−A−X i ; q) j leads us to the following binomial determinant evaluation formulae det 0≤i, j≤n [ [X i+Y j j ][ A+X i j ] = ∏ 0≤i< j≤n(x j − xi )(a − c/xi x j) ∏n k=0 (axk|γ)n(c/xk|γ)n n ∏ ℓ=1 γ ℓ ℓ−1.
- keywords: 0≤i; binomial; chu; coefficients; corollary; cubo; determinant; evaluation; factorials; formula; fractions; identity; j≤n; k=0; n+1; numbers; partial; q)n+1n; q1+x; q−x; relation; shifted; y j
- versions: original; plain text
- cubo-1389
- author: Precioso, Juliana Conceição
- title: A Family of Stationary Solutions to the Euler Equations and Generalized Solutions
- date: 2010-10-01
- words: 6081
- flesch: 88
- summary: y = y(t,γ,δ) the solution of d x d t = u11(x, y) = cos(x) sin( y) Then, we obtain ˆ D2 ˆ T 0 (ˆ D2 c(t, x, y,α1,α2)dα1 dα2 − 1 )
- keywords: 1(x(t; 2πi n; c(t; cubo; c∞0; d y; dβ2; equations; euler; family; field; g(t; generalized; i=0; incompressible; juliana; measures; n y; n−1∑; precioso; problem; solutions; stationary; t)d; tdα1; u11(x(t; x(t; y(t; yn(t; ˆ d2; α1,β2; α1,β2),γ; α1,γ; β2 n; − 2πi; ∣∣∣∣
- versions: original; plain text
- cubo-1390
- author: Benchohra, Mouffak; N’Guérékata, Gaston M.; Seba, Djamila
- title: Measure of noncompactness and nondensely defined semilinear functional differential equations with fractional order
- date: 2010-10-01
- words: 4289
- flesch: 79
- summary: ∈ J |N( y)(t)| = ∣ ∣ ∣ ∣ 1 Γ(r) d dt ˆ t 0 (t − s)r−1 S(t − s) f (s, ys )ds ∣ ∣ ∣ ∣ CUBO 12, 3 (2010) Semilinear Fractional Differential Equations 43 ≤ [16] DIETHELM, K. AND FORD, N.J., Analysis of fractional differential equations, J. Math. Anal.
- keywords: anal; banach; benchohra; c([−ρ; continuous; cubo; definition; differential; equations; existence; fractional; function; integral; integrated; noncompactness; nonlinear; n’guérékata; operator; point; problem; s)r−1; satisfies; semigroup; semilinear; solutions; space; theory; γ(r
- versions: original; plain text
- cubo-1391
- author: Banyaga, Augustin
- title: On the group of strong symplectic homeomorphisms
- date: 2010-10-01
- words: 7531
- flesch: 84
- summary: = (γγ ′ , (H + H ′ , u + u ′ ◦γ+ v)) We saw that for any X ∈ s ym p(M,ω), i X ω = H X + du X and we wrote H X = ∑ λi hi .
- keywords: ameo(m; banyaga; basis; cauchy; cubo; distance; following; group; h t; hamiltonian; harmonic; homeomorphisms; isotopies; lemma; m s; m t; m(µ̇; metric; n s; n t; norm; osc(u; p(m; peo(m; peo0; proof; proposition; s ym; sequence; so(m; space; strong; symplectic; theorem; topology; vector; ym peo(m; µ n; φ m; φ n; φ t
- versions: original; plain text
- cubo-1392
- author: O’Regan, Donal; Saadati, Reza
- title: ℒ -Random and Fuzzy Normed Spaces and Classical Theory
- date: 2010-10-01
- words: 4262
- flesch: 96
- summary: For t > 0 we define the open ball B(x, r, t) with center x and radius r ∈ L \ {0L , 1L } as B(x, r, t) = { y ∈ X : P (x − y, t) >L N (r)}. ∈ L there exists γ ∈ L, such that Eλ,P ((xm + ym)
- keywords: -fuzzy; -random; cauchy; complete; cubo; definition; sequence; space; theorem
- versions: original; plain text
- cubo-1393
- author: Dasgupta, Aparajita; Wong, M.W.
- title: The semigroup and the inverse of the Laplacian on the Heisenberg group
- date: 2010-10-01
- words: 4577
- flesch: 81
- summary: The function F on H× (0,∞) given by F(z, t, u) = (e−u∆H f )(z, t), (z, t) ∈ H, u > 0, is in fact the solution of the initial value problem ∂F ∂u (z, t, u) = −(∆HF)(z, t, u), F(z, t, 0) = f (z, t), (z, t) ∈ H, u > 0, (z, t) ∈ H, for the Laplacian ∆H. Using the same techniques as in [1], we get for all f ∈ L2(H) and u > 0, (e −u∆H f )(z, t) = (2π)−1/2 ˆ ∞ −∞ e −itτ (e −uL̃τ f τ)(z) dτ, (z, t) ∈ H, (1.1) where L̃τ, τ ∈ R \ {0}, is given by L̃τ = −∆+ 1 4 (x 2 + y2)τ2 − i ( x ∂ ∂y − y ∂ ∂x ) τ+τ2 and f τ is the function on C given by f τ (z) = (2π)−1/2 ˆ ∞ −∞ e itτ f (z, t) dt, z ∈ C, provided that the integral exists. So, by (6.1)–(6.3), Fubini’s theorem and Parseval’s identity, (L̃ −1 τ f , g) = 2π ∞∑ k=0 1 (2k + 1 +|τ|)|τ| ∞∑ j=0 (W τ f̂ e τ k , e τ j )(e τ j , W τ ĝ e τ k )
- keywords: cubo; e τ; fourier; functions; inverse; k=0; l2(c; l2(r; l2s; laplacian; m.w; proof; semigroup; theorem; transforms; weyl; wigner; wong; τ j; τ k; ‖l2
- versions: original; plain text
- cubo-1394
- author: Sushch, Volodymyr
- title: Self-Dual and Anti-Self-Dual Solutions of Discrete Yang-Mills Equations on a Double Complex
- date: 2010-10-01
- words: 9192
- flesch: 87
- summary: From Proposition 4.4 F is su(2)-valued if and only if Mi (ki k j + k j ) − M j (ki k j + ki ) The quaternions are formed from real numbers by adjoining three symbols i, j, k and an arbitrary quaternion x can be written as x = x1
- keywords: analog; anti; arbitrary; basis; c(4; complex; continual; cubo; curvature; dimensional; discrete; dual; e k; elements; equations; f 4; following; form; form f; gauge; instanton; j k; k f; k k; k −; mills; operator; proof; proposition; quaternionic; s k; self; solutions; su(2; sushch; theory; volodymyr; x k; xk1; xk2; xk3; yang; |κ|2; ε k; τ1 k; τ2 k; τ3 k; τ4 k; − f
- versions: original; plain text
- cubo-1395
- author: De Malafosse, Bruno; Rakočević, Vladimir
- title: Calculations in new sequence spaces and application to statistical convergence
- date: 2010-10-01
- words: 6581
- flesch: 93
- summary: Wτ = Wλµτ. (v) As above X ∈ [ C+, C+ ] Wτ if and only if C+ ( µ ) X ∈ Wτ ( C+ (λ) ) and the condition τ = Wλµτ and we have shown (ii). (iii) For any given X ∈ [ C+,∆ ] Wτ we have ∆ ( µ ) X ∈ Wτ ( C+ (λ) ) and for τ ∈ Γ+ we have Wτ ( C+ (λ) )
- keywords: convergence; cubo; i=1; k=1; lim; m=1; malafosse; math; sequence; sets; spaces; sup; wλτ; λµτ; τ ∈; ∣∣∣∣∣
- versions: original; plain text
- cubo-1396
- author: Dhage, Bapurao C.
- title: Some Generalizations of Mulit-Valued Version of Schauder’s Fixed Point Theorem with Applications
- date: 2010-10-01
- words: 4520
- flesch: 77
- summary: ∈ P cl,bd (E), where ψ(0) = 0. = ⋃ x∈A T x for all subsets A of E. Let E1 and E2 be two Banach spaces and let Q : E1 → P p (E2) be a multi-valued operator.
- keywords: banach; closed; compact; continuous; contraction; convex; cubo; definition; dhage; inclusion; mappings; multi; noncompactness; nonlinear; operator; p cl; point; semi; set; solution; space; subset; theorem; theory; upper
- versions: original; plain text
- cubo-1397
- author: Guo, Chengjun; O’Regan, Donal; Agarwal, Ravi P.
- title: Existence of Periodic Solutions for a Class of Second-Order Neutral Differential Equations with Multiple Deviating Arguments
- date: 2010-10-01
- words: 3762
- flesch: 91
- summary: = ´ T 0 G(t, s)ϕ(s)ds, where G(t, s) w(t − s), (k − 1)T ≤ s ≤ t ≤ kT w(T + t − s), (k − 1)T ≤ t − cx ′′ (s −τ) + p(s) −g(s, x(s −τ1 (s)), x(s −τ2 (s))··· , x(s −τn (s)))]ds + cx ′′ (t −τ), (2.12) where G t(t, s) w̃(t − s), (k − 1)T ≤ s ≤ t ≤ kT w̃(T + t − s), (k − 1)T ≤ t
- keywords: a(s))x(s; class; cubo; differential; equations; existence; g(t; guo; lemma; mapping; math; max; neutral; p(s; periodic; solutions; t −τ; theorem; t∈[0,t]|x; x(s; x(t; −g(s; −τ1; −τ2; −τn
- versions: original; plain text
- cubo-1398
- author: Paolo, Boggiatto; Giuseppe, De Donno; Alessandro, Oliaro; Kien Cuong, Bui
- title: Generalized spectrograms and τ-Wigner transforms
- date: 2010-10-01
- words: 5313
- flesch: 75
- summary: In [3], the two window spectrogram has been introduced and studied: it depends on two windows and it is defined by the skew-linear form S pφ,ψ( f , g)(x, w) = Vφ( f )Vψ( g)(x, w); (2.6) when φ = ψ, f = g, formula (2.6) becomes the classical spectrogram. and repeat the argument above with x replaced by ω. From (4.9), (4.10), and the equality supp( f g) = supp f ∩ supp g, we obtain the “support” property of the parameterized two window spectrogram.
- keywords: boggiatto; case; class; cohen; cubo; distribution; following; fourier; frequency; g)(x; generalized; parameterized; particular; properties; proposition; representation; signal; spectrogram; supp; time; transform; wigner; window; ′(r2d
- versions: original; plain text
- cubo-1399
- author: Sawano, Yoshihiro
- title: Modulation Spaces with A-loc-∞ -Weights
- date: 2010-10-01
- words: 5007
- flesch: 84
- summary: f : M s,W p,q ∥ ∥ ∥ ϕ2 (1.5) holds for f ∈ C∞c 3.3 Proof of Lemma 1 Instead of dealing with 〈f ,ψ〉 directly, we have only to deal with ψ∗ f (0), which is justified by the isomorphism ψ 7→ ψ(−·).
- keywords: aloc∞; analysis; condition; cubo; c∞c; decomposition; enη|y|; function; lemma; loc; l∈zn; m s; modulation; m∈zn; norm; operators; proof; proposition; result; sawano; spaces; sup; theorem; w p; weight; weighted; y)|η; yoshihiro; λml; ∥ ∥
- versions: original; plain text
- cubo-1400
- author: Yoshino, Kunio
- title: Analytic continuation and applications of eigenvalues of Daubechies’ localization operator
- date: 2010-10-01
- words: 2255
- flesch: 75
- summary: Making use of generating functions, we will establish the reconstruction formula of symbol functions of Daubechies’ localization operators with ro- tational invariant symbol. Then (i) The Hermite functions hm (x) are eigenfunctions of the operator PF : PF (hm )(x) = λm hm (x), m ∈ N. (ii) Secondly, λm = 1 m!
- keywords: analytic; cubo; daubechies; eigenvalues; functions; f̃(2s; g(t; localization; m=0; operator; proof; proposition; transform; λ(w
- versions: original; plain text
- cubo-1401
- author: Cordero, Elena; Zucco, Davide
- title: Strichartz estimates for the Schrödinger equation
- date: 2010-10-01
- words: 10554
- flesch: 78
- summary: Then, for 1 ≤ p ≤ ∞, the potential space [4] is defined by W p s = { f ∈ S ′, 〈∆〉s f ∈ L p} with norm ‖f ‖ W p s = ‖〈∆〉 s f ‖L p . The original version of Strichartz estimates in L p spaces, closely related to restriction problem of Fourier transform to surfaces, was elaborated by Robert Strichartz [36] in 1977(who, in turn, had precursors in [31, 41]).
- keywords: admissible; amalgam; analysis; applications; banach; case; cauchy; classical; conditions; cordero; cubo; davide; definition; different; dispersive; elena; equation; estimates; f l; fixed; following; fourier; function; homogeneous; i(t−s)∆; interpolation; it∆; l p; l q; lebesgue; lemma; linear; lrx; math; modulation; nonlinear; norm; operator; particular; problem; proof; proposition; q s; q t; r d; r é; result; r×r; s =; schrödinger; section; sobolev; solution; spaces; strichartz; strichartz estimates; study; t f; t l; theorem; time; transform; wiener; zucco; ∥∥∥
- versions: original; plain text
- cubo-1402
- author: Oka, Yasuyuki
- title: On the Weyl transform with symbol in the Gel’fand-Shilov space and its dual space
- date: 2010-10-01
- words: 4692
- flesch: 88
- summary: Then U(x, t) ≡ ˆ Rd E(x − y, t)ϕ( y)d y ∈ S r,Br,a (R d ) , t > 0 and U(x, t) → ϕ(x) in ∈ S r,Br,a (R d ) as t → 0. S r,B ′ r,a′ (Rd2 ), for any a, B ∈ (0,∞)d1 and a′, B′ ∈ (0,∞)d2 , B(ϕ,ψ) = 〈kψ,ϕ〉 , ϕ ∈ S r,Br,a (Rd1 ) , ψ ∈ S r,B′ r,a′ (Rd2 ) is separately continuous.
- keywords: 0,∞)d; cubo; following; gel’fand; kernel; l2(rd; proposition; r d; r r; s r; s rr; schwartz; shilov; space; symbol; theorem; transform; weyl; ∣ ∣
- versions: original; plain text
- cubo-1403
- author: Abada, Nadjet; Benchohra, Mouffak; Hammouche, Hadda
- title: Existence Results for Semilinear Differential Evolution Equations with Impulses and Delay
- date: 2010-06-01
- words: 5916
- flesch: 83
- summary: ,m (2) y(t) = φ(t), t ∈ t ∈ [−r, 0] , (6)
- keywords: 0,b; a.e; abada; applications; b],e; banach; benchohra; conditions; continuous; cubo; definition; differential; equations; evolution; existence; f(t; functional; hammouche; impulsive; k=1; let; mild; new; nonlocal; operator; pc([−r; point; problem; section; semilinear; set; solution; space; systems; t t; theorem; y(t
- versions: original; plain text
- cubo-1404
- author: Wolf, Elke
- title: Differences of weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces
- date: 2010-06-01
- words: 3148
- flesch: 86
- summary: For the study of the compactness of the difference ψ1Cφ1 − ψ2Cφ2 we need the following result. 1 6 ( 3 2 1 vφ1(zn)(z) 2 − vφ1(zn)(φ1(zn)) vφ1(zn)(z) 3 )− 2 3 · · ( − v′ φ1(zn) (z) vφ1(zn)(z) 3 + vφ1(zn)(φ1(zn)) vφ1(zn)(z) 4 v′φ1(zn)(z) ) for every n ∈ N. By Proposition 3, the fact that ψ1Cφ1 − ψ2Cφ2 is compact yields ‖(ψ1Cφ1 − ψ2Cφ2 )gφ1(zn)‖Bw → 0 if n → ∞. Finally, ‖(ψ1Cφ1 − ψ2Cφ2 )gφ1(zn)‖Bw ≥ w(zn) ∣ ∣ ∣ ∣ ∣ ψ′1(zn) v(φ1(zn)) 1 2 ϕ2φ2(zn)(φ1(zn))
- keywords: analytic; composition; differences; functions; holomorphic; math; max; operators; spaces; sup; supz∈d; v(φ1(z; vφ1(p)(z; vφ1(zn)(z; w(z; weighted; weights; z∈d; φ1(p; φ2(p; ψ1cφ1; ψ2cφ2; ∣ =; ∣ ∣
- versions: original; plain text
- cubo-1405
- author: Saleh, M. H.; Amer, S. M.; Ahmed, M. H.
- title: The method of Kantorovich majorants to nonlinear singular integral equations with Hilbert Kernel
- date: 2010-06-01
- words: 4063
- flesch: 88
- summary: To prove the Frechet derivative B̀(ϕ) satisfies Lipschitz condition in the sphere S(ϕ 0 ,R) = {ϕ :‖ ϕ − ϕ 0 ϕ ∈ X,‖ ϕ − ϕ 0 ‖< R}, in a Banach space X into a Banach space Y.
- keywords: ahmed; amer; b̀(ϕ; cot; cubo; equations; g ϕ; g(t; gv(t; hilbert; integral; iλxv(s; kantorovich; kernel; method; nonlinear; s,ϕ(s; sg(t; singular; solution; theorem; v(s))k; v(s))k ϕ; v(t; σ,ϕ(σ
- versions: original; plain text
- cubo-1406
- author: Renukadevi, V.
- title: On subsets of ideal topological spaces
- date: 2010-06-01
- words: 5390
- flesch: 94
- summary: if and only if int(cl⋆(A)) = int(A) and so semi⋆ − I−closed sets are nothing but t − I−sets. Since t − I−sets are semi⋆ − I−closed sets, SIcl(V ) =
- keywords: bi−set; example; ideal; int(cl⋆(a; int(cl⋆(int(a; int(v; i−closed; i−open; proof; resp; semipre⋆; semi⋆; set; sets; sicl(a; space; subset; sβio(x; theorem
- versions: original; plain text
- cubo-1407
- author: Levstein, Fernando; Maldonado, Carolina
- title: Generalized quadrangles and subconstituent algebra
- date: 2010-06-01
- words: 7386
- flesch: 82
- summary: Denoting λ0 = r(k − 2), λ1 = k − r − 1, λ2 = k − 2, λ3 = −r S satisfies the equation (S − λ0I22) (S − λ1I22) (S − λ2I22) (S − λ3I22) = 0 Proof. − r)QtQ − r(r − 1)J22 + r(k − 2)S
- keywords: -submodules; 1)2; algebra; association; atx; block; column; cubo; decomposition; definition; equation; following; generalized; graph; ideals; irreducible; j22; j=1; left; lemma; let; levstein; line; maldonado; matrices; matrix; parameters; point; proof; proposition; quadrangles; r(k; regular; row; set; simple; subconstituent; terwilliger; vertices;
- versions: original; plain text
- cubo-1408
- author: Albeverio, S.; Belopolskaya, Ya.
- title: Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes
- date: 2010-06-01
- words: 8092
- flesch: 82
- summary: − ηx,k−1(τ)‖2) 1 2 dτ + ∫ t 0 1 σ √ t − τ e R t τ α(θ)dθ(E‖∇pk+1(τ,ψkt,τ(x)) + (t − τ)
- keywords: 0,t; albeverio; approach; belopolskaya; cauchy; compact; conditions; continuous; cubo; denote; diffusion; equation; estimates; e‖ηx; fields; following; formula; functions; g t; g(τ; generalized; inequality; initial; interval; k t; lemma; leray; lipschitz; loc; navier; norm; p(t; positive; probabilistic; problem; processes; proof; r t; representation; results; satisfies; set; solution; space; stochastic; stokes; sup; system; t τ; t,0(x; theorem; theory; u(t; vector; weak; θ)dθ; λ(t; τ(x; ψgt; ψkt; ψk−1t; ψut,0; ∇ug(t; − ∫
- versions: original; plain text
- cubo-1409
- author: Rump, Wolfgang
- title: The tree of primes in a field
- date: 2010-06-01
- words: 14002
- flesch: 94
- summary: ⊂ P + P ⊂ P , which gives P̃ + P̃ ⊂ P̃. We call a prime P of a field K algebraic if P + P ⊂ P , that is, (P4) holds for d = 1, otherwise transcendental.
- keywords: 0,∞; algebraic; ap̃; arbitrary; a−1; b ∈; c+p; compact; contradiction; corollary; cubo; definition; d−1p; f ∈; f(a; fact; field; field k; finite; follows; form; formula; fp[x; function; g(a; haar; i(f; i(f0; i=1; integral; krull; lemma; math; minimal; monotonous; n ∈; non; normalized; number; open; p n; prime; prime p; product; proof; proposition; pseudo; respect; rump; satisfies; set; topology; transcendental; tree; trivial; unique; v(a; valuation; wolfgang; yields; ◦ ⊂
- versions: original; plain text
- cubo-1410
- author: Jafari, Saeid; Mohammad Latif, Raja; Moshokoa, Seithuti P.
- title: A note on generalized topological spaces and preorder
- date: 2010-06-01
- words: 2082
- flesch: 86
- summary: Then G is a subset of X × X, we shall refer to G as the graph of the preorder. That is, a subset B of X × X is (µ × µ)-open if for every (x, y) ∈ B there exist µ-open sets U and V, such that (x, y) ∈ U × V ⊂ B, where U and V contain x and y, respectively.
- keywords: cµi(a; i(g; preorder; subset; µ-closed; µ-open
- versions: original; plain text
- cubo-1411
- author: Koike, Naoyuki
- title: Examples of a complex hyperpolar action without singular orbit
- date: 2010-06-01
- words: 9192
- flesch: 78
- summary: Here the curvature-adaptedness means that, for each normal vector v of the submanifold, the Jacobi operator R(·, v)v preserves the tangent space of the submanifold invariantly and the restriction of R(·, v)v to the tangent space commutes with the shape operator Av, where R is the curvature tensor of G/K. Furthermore, as a subclass of the class of complex equifocal submanifolds, we [15] defined that of the proper complex equifocal submanifolds in G/K as a complex equifocal submanifold whose lifted submanifold to H0([0, 1], g) (g := Lie G) through some pseudo-Riemannian submersion of H0([0, 1], g) onto G/K is proper complex isoparametric in the sense of [13], where we note that H0([0, 1], g) is a pseudo-Hilbert space consisting of certain kind of paths in the Lie algebra g of G. Let G/K be a symmetric space of non-compact type and H be a closed subgroup of G which admits an embedded complete flat submanifold meeting all H-orbits orthogonally. [14] N. Koike, Complex equifocal submanifolds and infinite dimensional anti-Kaehlerian isopara- metric submanifolds, Tokyo J. Math. 28 (2005) 201-247.
- keywords: abelian; action; adapted; anti; aξiti; compact; complex; complex equifocal; complex hyperpolar; cosh(|λi|ti; cubo; curvature; decomposition; denote; equifocal; examples; field; flat; following; geodesic; group; gλi; h0([0; hyperpolar; i=1; invariant; isoparametric; kaehlerian; koike; lemma; lie; math; non; normal; orbit; parallel; principal; projection; proof; proper; resp; respect; rhλi; sb,̄l1; section; set; shape; singular; space; statement; subalgebra; submanifold; symmetric; theorem; type; vector; x =; |λi|; γξ1; θξi
- versions: original; plain text
- cubo-1412
- author: Delanghe, Richard
- title: On homogeneous polynomial solutions of generalized Moisil-Théodoresco systems in Euclidean space
- date: 2010-06-01
- words: 9633
- flesch: 83
- summary: ∈ IR m}, let us recall that for a smooth s-form ωs =∑ |A|=s ω s Adx A(0 ≤ s ≤ m If i1 6= 0, then {i1, ..., is} ⊂ {1, ..., m} and eAe ◦ M = ±e ◦ M\A ∈ IR (m−s)
- keywords: 0,3; 0,4; 0,m+1; algebra; basis; case; clifford; conjugate; cubo; degree; degree k; delanghe; euclidean; following; functions; generalized; h(m; harmonic; homogeneous; ir+0,4; ir0,m+1; ir3; irm+1; k+1; k+2; ker; lemma; let; m t; moisil; monogenic; odd; operator; p r; p r−1; p(m; polynomial; properties; r k; r+2j; r+2q; r+2q k; richard; r−1; section; solutions; space; surjective; system; theorem; théodoresco; type; ṽk; ∂x0; ∂xw
- versions: original; plain text
- cubo-1413
- author: Bauer, Claus
- title: A new solution algorithm for skip-free processes to the left
- date: 2010-06-01
- words: 7149
- flesch: 84
- summary: N − 1. Y (C0 − 1) −1 )−1 , (3.1) πk = π ∗ 0 ∑ bl k E(bm−1, ..., b1), 1 ≤ k ≤ N − 1, (3.2)
- keywords: algorithm; bauer; bm−1; calculation; claus; cm−x; complexity; computational; cubo; degree; e(bm−1; eqn; equations; finite; free; k=1; l=1; l=2; left; lemma; levels; linear; matrix; method; models; m−1; new; number; n−1; order; polynomial; probability; processes; proof; real; relation; roots; set; skip; solution; state; steady; sum; summation; system; theorem; time; transition; u=1; x=1; ;
- versions: original; plain text
- cubo-1414
- author: Malonek, Helmuth R.; Peña, Dixan; Sommen, Frank
- title: Fischer decomposition by inframonogenic functions
- date: 2010-06-01
- words: 2838
- flesch: 74
- summary: June 2010 Fischer decomposition by inframonogenic functions Helmuth R. Malonek1, Dixan Peña Peña2 Department of Mathematics, Aveiro University, 3810-193 Aveiro, Portugal 1email: hrmalon@ua.pt 2email: dixanpena@ua.pt, dixanpena@gmail.com and Frank Sommen Department of Mathematical Analysis, Ghent University, 9000 Gent, Belgium email: fs@cage.ugent.be ABSTRACT Let ∂x denote the Dirac operator in R m. In this paper, we present a refinement of the biharmonic functions and at the same time an extension of the monogenic functions by considering the equation ∂xf ∂x = 0. The solutions of this “sandwich” equation, which we call inframonogenic functions, are used to obtain a new Fischer decomposition for homogeneous polynomials in Rm. RESUMEN Denotemos por ∂x el operador de Dirac en R m.
- keywords: appl; clifford; cubo; decomposition; fischer; functions; harmonic; homogeneous; inframonogenic; j=1; left; math; operator; p(k; peña; pk(x; polynomials; proposition; r0,m; right; sommen; vector; xp(k; ∂xf
- versions: original; plain text
- cubo-1415
- author: O’Regan, Donal
- title: Fixed point theory for compact absorbing contractions in extension type spaces
- date: 2010-06-01
- words: 8983
- flesch: 86
- summary: Given a map F : X → 2 X and α ∈ Cov (X), a point x ∈ X is said to be an α–fixed point of F if there exists a member U ∈ α such that x ∈ U and F(x) ∩U 6= ∅. Since X ∈ ANES(compact) there exists an open neighborhood Uα of K⋆ in T and fα : Uα → X a continuous function such that fα|K⋆ and s −1 are α′–close and as a result fα jUα s : K → X and i : K → X are α–close
- keywords: admissible; class; closed; compact; continuous; cubo; endomorphism; following; hausdorff; juα; lefschetz; map; maps; note; pair; point; remark; result; space; subset; theorem; theory; topological; uniform;
- versions: original; plain text
- cubo-1416
- author: Castro, L. P.; Silva, A. S.
- title: Fredholm property of matrix Wiener-Hopf plus and minus Hankel operators with semi-almost periodic symbols
- date: 2010-06-01
- words: 6389
- flesch: 73
- summary: Therefore, AP W is precisely the (proper) subclass of all functions ϕ ∈ AP which can be written in an absolutely convergent series of the form: ϕ = ∑ j ϕj eλj , λj ∈ R , ∑ j |ϕj| < ∞ . If ϕ ∈ AP , then the limit M (ϕ) := lim α→∞ 1 |Iα| ∫ Iα ϕ(x) dx exists, is finite, and is independent of the particular choice of the family {Iα}.
- keywords: 2n×2n; canonical; case; castro; cubo; det; equivalence; extension; factorization; following; fourier; fredholm; functions; fφ2; gsap; hankel; hopf; hφ2; ind[wφ1; matrix; minus; n×n; operators; periodic; present; property; relation; right; right ap; sap; semi; symbols; theorem; wiener; wφ1; φ̃2r; φ−12
- versions: original; plain text
- cubo-1417
- author: Tung, Chia-chi
- title: On Semisubmedian Functions and Weak Plurisubharmonicity
- date: 2010-06-01
- words: 12394
- flesch: 73
- summary: An upper semicontinuous function φ : Y → [−∞,∞) is said to be spherically (respectively, solidly) monotone at z ∈ Y if there exists a pseudoball U at z of radius r0 such that [φ⌋U]z,r ≤ An upper semicontinuous map φ : Y → [−∞,∞) is called nearly subharmonic at z ∈ Y if there exists a pseudoball U at z of radius r0 such that 〈φ⌋U〉z,r ≤
- keywords: analytic; assertion; case; chi; chia; complex; component; consequently; constant; continuous; contradiction; covering; cubo; denote; domain; formula; function; induced; inequality; integrable; lemma; lim; local; map; mapping; math; maximum; mean; monotone; neighborhood; nonnegative; normal; open; peak; plurisubharmonic; point; principle; proof; property; proposition; pseudoball; psh; radius; real; regularized; relation; riemann; semicontinuous; semiharmonic; semisubmedian; sequence; set; small; solid; space; spherical; standard; subharmonic; subharmonicity; submean; submedian; subset; theorem; thin; tung; unramified; upper; value; weakly; yreg; φ(z; φ̃k
- versions: original; plain text
- cubo-1418
- author: Sudo, Takahiro
- title: Real and stable ranks for certain crossed products of Toeplitz algebras
- date: 2010-06-01
- words: 5986
- flesch: 85
- summary: ⊗ t)∗ = txt∗ ⊗ tyt∗ for x ⊗ y ∈ F ⊗ F. Denote it by C∗(H2,1) = (F ⊗ F) ⋊α⊗α N the crossed product of F ⊗ F by α ⊗ α of N. In what follows, we often omit the symbol for actions in crossed products. → (F ⊗ K) ⋊ N → C∗(H2,1) → (F ⊗ C(T))
- keywords: action; algebras; c(t; c(tn−l; certain; connected; crossed; cubo; c∗(hn,1; c∗-algebra; discrete; estimate; exact; extensions; group; isomorphic; j=0; m2(c; map; note; products; proof; proposition; rank; real; real rank; remark; sequence; stable; stable rank; structure; theorem; theory; toeplitz
- versions: original; plain text
- cubo-1419
- author: Palin, V. V.; Radkevich, E. V.
- title: The Maxwell problem and the Chapman projection
- date: 2010-06-01
- words: 9446
- flesch: 81
- summary: 1This work was supported by the Russian Foundation of Basic Researches (grant no. 09-01-00288) 2Corresponding author 276 V. V. Palin and E. V. Radkevich CUBO 12, 2 (2010) Key words and phrases: closure, the state equation, the Chapman projection, matrix equation, dynamic separation, inertional manifold AMS (MOS) Subj. [14] V. V. Palin, On the solvability of quadratic matrix equations [in Russian] Vestn. MGU, Ser. 1, No. 6, 36-42 (2008).
- keywords: assertion; assumptions; basis; case; cauchy; chapman; condition; conservation; constants; continuous; corresponding; cubo; data; denote; divx; eigenvalues; equation; estimate; following; form; fourier; hyperbolic; inequality; initial; kinetic; laws; lemma; matrix; matrix equation; matrix λ; maxwell; nonlinear; norm; order; p21; palin; parameter; problem; projection; proof; q0(t; quadratic; radkevich; relaxation; required; respect; russian; set; small; solution; solvable; space; system; t(1; terms; theorem; variables; vector; ∫ +; ∫ t
- versions: original; plain text
- cubo-1421
- author: Sánchez P., Joss
- title: Characterization of the Banzhaf value using a consistency axiom
- date: 2010-03-01
- words: 2236
- flesch: 77
- summary: Pintores s/n, Col. B. del Estado 78213, San Luis Potośı, México email : joss.sanchez@uaslp.mx ABSTRACT One of the important properties characterizing cooperative game solutions is consistency. Reduced games describe what games are played between the remaining players, i.e. what is earned by coalitions of the remaining players after one player has left the game.
- keywords: axiom; banzhaf; consistency; function; game; j},v; n\{k; payoff; person; players; reduced; set; solution; v(s; v({i; value
- versions: original; plain text
- cubo-1422
- author: Minkevicius, Saulius
- title: Analysis of the Component-Based Reliability in Computer Networks
- date: 2010-03-01
- words: 2641
- flesch: 76
- summary: Limit theorems on the extreme queue length and extreme virtual waiting time in open queueing networks in heavy traffic are derived and applied to a reliability model for computer networks where we relate the time of failure of a computer network to the system parameters. In this paper, we will first briefly review the works related to using the queueing theory of computer system reliability, and then present some new results on the estimation of the time of failure of a computer network.
- keywords: computer; i=1; j=1; lim; network; probability; queueing; reliability; station; sup; system; theorem; time
- versions: original; plain text
- cubo-1423
- author: Bhowmik, B.; Wirths, K.-J.; Ponnusamy, S.
- title: On some problems of James Miller
- date: 2010-03-01
- words: 2491
- flesch: 82
- summary: If f (z) ∈ Σ∗(p, w0), then the second coefficient is given by a2(f ) = 1 2 w0 ( b2 − p 2 − 1 p2 − 1 w02 ) where b2 is the second coefficient of a function in P(b1), i.e. the region of variability for a2(f ) is contained in the disc ∣ ∣ ∣ ∣ a2(f ) Let f ∈ Σ∗(p, w0) having the expansion (1.3).
- keywords: 2c1p; a2(f; class; coefficient; disc; functions; math; meromorphic; miller; region; starlike; theorem; variability; σ∗(p; ∣ ∣
- versions: original; plain text
- cubo-1424
- author: Boni, Théodore K.; Nabongo, Diabaté
- title: Quenching for discretizations of a nonlocal parabolic problem with Neumann boundary condition
- date: 2010-03-01
- words: 6467
- flesch: 83
- summary: − U (n) K , K ∈ Γ, where U (n) h is the solution of (5)-(6). i − U (n) i ∆tn = I−1∑ l=0 hJ(xi − xl) ( U (n+1) l − U (n+1) i ) −(U (n) i ) −p−1U (n+1)
- keywords: boni; boundary; cubo; diabaté; diffusion; discrete; discretizations; equations; estimate; fact; finite; hmin; inequality; j(xk; lemma; l∈γ∗; m −; math; n+1; nabongo; nonlocal; numerical; p+1; parabolic; problem; proof; quenches; quenching; section; solution; theorem; théodore; time; time t; u(x; use
- versions: original; plain text
- cubo-1425
- author: Kaikina, Elena I.; Guardado-Zavala, Leonardo; Ruiz-Paredes, Hector F.; Juarez Zirate, S.
- title: Korteweg-de Vries-Burgers equation on a segment
- date: 2010-03-01
- words: 6286
- flesch: 88
- summary: −β dτ ∫ 1 0 (t − τ )β f (y, t − τ ) From (4.4) and estimates (2.31) of Lemma 2.2 we obtain for n = 0, 1 ∥∥∥u(n)x (·, t) ∥∥∥ L2 ≤ Ce−ξ0t ‖u (·, 1)‖ L2 + ∫ t 1 dτ ∫ x 0 |uuy(y, τ )| ‖∂nx F1 (·, y, t − τ )‖L∞ dy + ∫ t 1 dτ ∫ 1 x |uuy(y, τ )
- keywords: 2πi; asymptotics; boundary; burgers; cubo; data; e.i; equation; estimate; e−φj; initial; j=1; kaikina; korteweg; large; problem; respect; small; solutions; sup; theorem; time; t∈(0,t; u(0; u(x; value; vries; ̃(−ξ0; φ(p; ‖u0‖l2; − △
- versions: original; plain text
- cubo-1426
- author: Popa, Valeriu
- title: Weakly Picard pairs of multifunctions
- date: 2010-03-01
- words: 3010
- flesch: 93
- summary: ≤ 0 holds for all x, y ∈ X, where F ∈ F and FT1 6= Φ or FT2 6= Φ, then FT1 = FT2 . Proof. If (1) holds for all x, y ∈ X, where F ∈ F, then T1 and T2 have a common fixed point and FT1 = FT2 ∈ P cl(X). Proof.
- keywords: d(x1; d(x2; d(yn; ft1; ft2; multifunctions; picard; t1(x; t2(x1; weakly
- versions: original; plain text
- cubo-1427
- author: Raymond, Nicolas
- title: Uniform spectral estimates for families of Schrödinger operators with magnetic field of constant intensity and applications
- date: 2010-03-01
- words: 4374
- flesch: 81
- summary: For the lower bound, we apply Theorem 1.1 to the subfamily C(τ) of A and, using (5.10), we get: µ∗(q,τ) qτ ≥ Θ0 − C ( 1 (qτ)1/2−2ǫ + 1 (qτ)2ǫ + c0 (qτ)x (qτ)1/2−2ǫ ) . We let: Ωγ = {y ∈ Ω : d(y,∂Ω) ≥ γ}.
- keywords: boundary; c(τ; case; constant; crystals; cubo; estimates; families; field; large; lemma; liquid; magnetic; neumann; nicolas; order; problem; proof; raymond; section; spectral; study; superconductivity; surface; theorem; uniform; y3>0; |(i∇y; µ(q
- versions: original; plain text
- cubo-1428
- author: Mustafa, Zead; Obiedat, Hamed
- title: A fixed point theorem of Reich in \(G\)-Metric spaces
- date: 2010-03-01
- words: 4417
- flesch: 91
- summary: Suppose that T satisfies condition (2.1), then for all x, y ∈ X, we have G(T x, T y, T y) ≤ k[G(x, T x, T x) + 2G(y, T y, T y)], and (2.2) G(T y, T x, T x)
- keywords: condition; continuous; fixed; g(u; g(xn; metric; point; space; t x; t y; xn+1
- versions: original; plain text
- cubo-1429
- author: Kosi-Ulbl, Irena; Vukman, Joso
- title: An identity related to derivations of standard operator algebras and semisimple H∗ -algebras
- date: 2010-03-01
- words: 2802
- flesch: 85
- summary: = A + P AP − (AP + P A). A2 ) − 2 ((n − 2) + (n − 3) + (n − 4) + · · · + 3 + 2 + 1) (AD (A) P + P D (A) A) − 4 (1 · (n − 2) + 2 · (n − 3) + 3 · (n − 4) + · · · + (n − 3) · 2 + (n − 2) · 1) AD(P )A− 2 (n − 1) (AD (A) + D (A) A) = 0, and fn−1 (A, P ) = nD
- keywords: a(x; ad(p; algebra; case; d(a; d(p; derivation; j=1; l(x; linear; operator; relation; ring; standard; theorem
- versions: original; plain text
- cubo-1430
- author: Ballico, E.
- title: Brill-Noether Theories for Rank 1 Sheaves on Mg
- date: 2010-03-01
- words: 6242
- flesch: 83
- summary: Let X be a reduced and quasi-projective curve, P ∈ X, and F a sheaf on X with pure rank 1 and depth 1. We don’t touch a very important topic: the limit linear series introduced by D. Eisenbud and J. Harris for nodal curves of compact type, i.e. such that ‖X‖ has no loop and no multiple edge ([11]).
- keywords: assume; b(x; brill; components; connected; cubo; curve; deg(f; degree; depth; free; genus; h0(x; irreducible; lemma; line; map; math; nodal; node; noether; ordinary; point; projective; pure; rank; section; set; sheaf; sheaves; sing(f; spanned; stable; theorem; torsion; ♯(s
- versions: original; plain text
- cubo-1431
- author: Rozenblum, Grigori; Shirokov, Nikolay
- title: Entire Functions in Weighted 𝘓₂ and Zero Modes of the Pauli Operator with Non-Signdefinite Magnetic Field
- date: 2010-03-01
- words: 7305
- flesch: 80
- summary: ≤ C ∫∫ Γ1 |z2w−4|dµ(w) ≤ C. (3.8) For Q ∈ Q1,2, w ∈ Q, we note that 5|z| ≥ |z − w|, |z + w| ≥ |z|2 , therefore the quantity w2(3w2 − z2)/(w2 − z2)2 is bounded and we again arrive at (3.7). If Q is a square we take the center of Q as aQ. Otherwise we choose aQ so that ∫ Q (z − aQ)dµ
- keywords: a2q; analytical; arg; b(x; case; constant; construction; cubo; denote; domain; entire; equation; estimate; f(z; field; form; function; grigori; half; homogeneous; infinite; integral; log; magnetic; mapping; modes; negative; nikolay; non; plane; point; poisson; positive; proposition; rozenblum; sector; set; shirokov; sign; sin; small; solution; space; term; u(z; upper; vǫ(z; wǫ(z; |z|2; φ(z; ∣∣∣∣
- versions: original; plain text
- cubo-1432
- author: Ouaro, Stanislas
- title: Well-Posedness results for anisotropic nonlinear elliptic equations with variable exponent and 𝘓¹ -data
- date: 2010-03-01
- words: 5813
- flesch: 85
- summary: We introduce the numbers q = N(p̄ − 1) N − 1 , q∗ = Nq N − q = N(p̄ − 1) N − p̄ . p−i < p̄(N − 1) N − p̄ , N ∑ i=1 1 p−i > 1 and p+i
- keywords: 1,p; = ∣; a(x; ai(x; anisotropic; constant; cubo; entropy; existence; exponent; fluids; following; function; i=1; inequality; l1(ω; lebesgue; lemma; math; norm; ouaro; pi(x; problem; proof; results; sobolev; solution; spaces; u ∣; v)dx; variable; ∂ ∂xi; ∂xi u; − −; ∣ =; ∣ ∂; ∣ ∣; ∣ ∫; ∣ ≤; ; ; ; ;
- versions: original; plain text
- cubo-1433
- author: Argyros, Ioannis K.
- title: An improved convergence and complexity analysis for the interpolatory Newton method
- date: 2010-03-01
- words: 3097
- flesch: 85
- summary: : ei+1 = ‖xi+1 − α‖ ≤ { 1 2 + 3 2 ( 1 2 )k } ei, (2.15) ei+1 ≤ ci,ne n i (2.16) where, ci,n = ( 1 + e∗i+1 ei ) ‖xi+1 − α‖ ≤ ‖xi+1 − x ∗ i+1‖ + ‖x ∗ i+1 − α‖ ≤ ( 1 2 )k ‖z0 − x ∗ i+1‖ + 1 2 ‖xi − α‖ ≤ [ 3 2 ( 1 2 )k + 1 2 ] ‖xi − α‖ ≤ 7 8 ‖xi − α‖, (2.39) which shows xi ∈ U and (2.15) hold true.
- keywords: analysis; argyros; banach; complexity; convergence; cubo; i+1; improved; local; method; newton; n−1; theorem; x∗i+1; ′(α)−1f
- versions: original; plain text
- cubo-1434
- author: Argyros, Ioannis K.; Hilout, Saïd
- title: Convergence conditions for the secant method
- date: 2010-03-01
- words: 4458
- flesch: 89
- summary: [F (x) − F (y) − F ′(u)(x − y)] ≤ η; ‖ A [δF (x, y) − F ′(z)]
- keywords: argyros; banach; conditions; convergence; cubo; equations; hilout; lemma; lipschitz; math; method; newton; operator; secant; sequence; solution; space; tk+1; tk+2; unique; xk+1; x−1; − tk
- versions: original; plain text
- cubo-1435
- author: Hidalgo, Rubén A.
- title: A short note on 𝑀-symmetric hyperelliptic Riemann surfaces *
- date: 2010-03-01
- words: 2020
- flesch: 74
- summary: The Necessary Part Let us consider a planar extended Schottky group G of rank g ≥ 2, say generated by the reflections τ1,..., τg+1 on a collection of (g+1) pairwise disjoint round circles on the Riemann sphere, say C1,..., Cg+1, bounding a common domain D of connectivity (g + 1). Federico Santa Maŕıa, Valparáıso, Chile email : ruben.hidalgo@usm.cl ABSTRACT We provide an argument, based on Schottky groups, of a result due to B. Maskit which states a necessary and sufficient condition for the double oriented cover of a planar compact Klein surface of algebraic genus at least two to be a hyperelliptic Riemann surface.
- keywords: circle; extended; fixed; group; hyperelliptic; involution; order; oval; planar; points; rank; riemann; schottky; surface; transformation
- versions: original; plain text
- cubo-1436
- author: Shaikh, A.A.; Bagewadi, C.S.
- title: On 𝘕(𝑘)-Contact Metric Manifolds
- date: 2010-03-01
- words: 4383
- flesch: 82
- summary: (since the torsion tensor T (X, Y ) = ∇X Y − ∇Y X − March 2010 On N (k)-Contact Metric Manifolds A.A. Shaikh Department of Mathematics, University of Burdwan, Golapbag, Burdwan-713104, West Bengal, India email : aask2003@yahoo.co.in and C.S. Bagewadi Department of Mathematics, Kuvempu University, Jana Sahyadri, Shankaraghatta-577 451, Karnataka, India email : prof bagewadi@yahoo.com ABSTRACT The object of the present paper is to study a type of contact metric manifolds, called N (k)- contact metric manifolds admitting a non-null concircular and torse forming vector field.
- keywords: 2n+1; concircular; cubo; distribution; field; following; form; g(x; k)-contact; manifold; metric; metric manifold; non; product; r(x; riemannian; sasakian; theorem; torse; vector; vector field; virtue
- versions: original; plain text
- cubo-1437
- author: Rojas, Jacqueline; Mendoza, Ramon; da Silva, Eben
- title: Projective Squares in ℙ² and Bott’s Localization Formula
- date: 2010-03-01
- words: 9404
- flesch: 88
- summary: − w0)(2w2 − w0 − w1) Making a cyclic permutation of x′is in the table above, we will obtain all the 30 contributions to (5.1) determined by the 6 fixed points w11 = ([ℓ 2, ℓℓ1], ℓℓ 2 2) ∈ W 1 (cf. − w0)(2w1 − w0 − w2) w23 = (w 1 1, x̃ 2 1x 2 2) (5w0 + w1 + 2w2)
- keywords: answer; bott; c[x0; contribution; cubic; cubo; degree; description; dimensional; eben; enumerative; fact; fixed; following; formula; g2(f2; general; geometry; hilbert; homogeneous; ideal; intersection; jacqueline; lines; math; mendoza; note; o(e; p(f; plane; points; polynomial; projective; ramón; rojas; silva; space; squares; t(w2−w0; tangent; variety; vector; w0)(w0; x0x1; x0x2; ℓ1 ℓ; ℓ1ℓ; ℓ2 ℓ; ℓ31; ℓℓ1; ℓℓ2; ℓℓ22
- versions: original; plain text
- cubo-1438
- author: Farajzadeh, A.P.; Amini-Harandi, A.; O’Regan, D.; Agarwal, R.P.
- title: Strong vector equilibrium problems in topological vector spaces via KKM maps
- date: 2010-03-01
- words: 5023
- flesch: 81
- summary: We denote the duality pairing between X∗ and X, by 〈., .〉, and the open line segment joining between x, y ∈ K by ]x, y[. + ‖ x − f (x) ‖, ∀x, y ∈ K, and let W (x) = [−∞, 0) ⊂ Y = R, for all x ∈ K. The function F is concave in the second variable with respect to the set (Y \W (x))
- keywords: bifunction; c(x; closed; compact; cone; continuous; convex; cubo; equilibrium; following; kkm; mapping; nonempty; problems; proof; sign; strong; subset; svep; t x; theorem; topological; vector; −c(x)\{0
- versions: original; plain text
- cubo-1440
- author: Helffer, Bernard; Pan, Xing-Bin
- title: On Some Spectral Problems and Asymptotic Limits Occuring in the Analysis of Liquid Crystals
- date: 2009-12-01
- words: 7038
- flesch: 76
- summary: This is a consequence of λN1 (qn) = Θ0 qτ + O((qτ) 2/3 ) , (7.2) with O((qτ)2/3) uniform with respect to n ∈ C(τ) and τ ∈ (0,τ0] . We hope to give in [HP3] a two-term asymptotic of µ∗(q,τ) and consequently of Qc3(κ,τ) for large κ (with τ ∈ (0,τ0]).
- keywords: analysis; asymptotic; bclp; bernard; bin; c(κ; c(τ; case; constants; critical; crystals; cubo; curl; elastic; energy; field; following; functional; g[ψ; gennes; ginzburg; helffer; hp2; inf; l2(ω; l4(ω; landau; large; liquid; magnetic; math; minimizers; neumann; nqτ; number; pan; phase; phillips; problems; proof; proposition; reduced; results; smectic; spectral; state; superconductivity; surface; vector; wave; x.b; xing; λn1
- versions: original; plain text
- cubo-1441
- author: Bony, Jean-François; Bruneau, Vincent; Briet, Philippe; Raikov, Georgi
- title: Resonances and SSF Singularities for Magnetic Schrödinger Operators
- date: 2009-12-01
- words: 5576
- flesch: 79
- summary: Here H̃0 := H0 + v0 where v0 = v0(x3) decays fast enough at infinity, while H̃ := H̃0 + V where V satisfies (1.1). Then H̃0 := H0,⊥ ⊗ I‖ + I⊥ ⊗ H‖ = H0 + I⊥ ⊗ v0 is the Hamiltonian of a non-relativistic spinless quantum particle subject to a classical electromag- netic field (E, B) with B = (0, 0,b) and E = −(0, 0,v′0).
- keywords: 0,∞; adjoint; asymptotic; bony; briet; bruneau; cubo; decay; eigenvalues; extension; fix; function; h̃,h̃0; h̃0; infinite; j.-f; ker; landau; levels; magnetic; math; multiplicity; o(1; operator; proposition; raikov; resonances; satisfies; satisfy; schrödinger; section; set; shift; singularities; spectral; ssf; theorem; theory; ξ(2bq
- versions: original; plain text
- cubo-1442
- author: Ammari, Kaïs; Vodev, Georgi
- title: Boundary Stabilization of the Transmission Problem for the Bernoulli-Euler Plate Equation
- date: 2009-12-01
- words: 3629
- flesch: 89
- summary: Then O = Ω\Ω1 is a bounded, connected domain with boundary ∂O = Γ1 ∪Γ. We are going to study the following mixed boundary value problem (∂2t Write f = f ♭ +f♮, where f♭ = φ(G/z)f, f♮ = (1 − φ)(G/z)f.
- keywords: ammari; boundary; cubo; c∂ν; energy; equation; estimate; following; function; l2(γ; l2(ω; math; plate; problem; satisfies; stabilization; theorem; transmission; vodev; ‖gf‖h; ‖v1‖l2(ω1; ‖v2‖l2(o; ∂νu1|γ1; ∆u2|γ1; ∥∥∥
- versions: original; plain text
- cubo-1443
- author: Hess, Patrícia; Melo, Severino T.
- title: K-Theory of an Algebra of Pseudodifferential Operators on a Noncompact Manifold
- date: 2009-12-01
- words: 2060
- flesch: 74
- summary: For each ϕ ∈ R, let Uϕ be the operator on L 2 (S1) given by Uϕf (z) = z −ϕf (z), z ∈ S1, and let Yϕ := FdUϕF −1 d , where Fd : L 2 (S1) → ℓ2(Z) is the discrete Fourier transform. Therefore, the class of generators LΛ can be replaced by the operator 1 i ∂ ∂β Λ, β ∈ S1, since S1 has trivial tangent bundle.
- keywords: algebra; c*-algebra; cubo; functions; k0(a; k1(a; l2(ω; melo; operators; pseudodifferential; sequence; symbol; theorem; theory
- versions: original; plain text
- cubo-1444
- author: Cardoso, Fernando; Cuevas, Claudio; Vodev, Georgi
- title: Dispersive Estimates for the Schrödinger Equation with Potentials of Critical Regularity
- date: 2009-12-01
- words: 5230
- flesch: 88
- summary: Rn K̃h(|x − ξ|, t − τ)Kh(|y − ξ|,τ)V (ξ)dξdτ, where K̃h denotes the kernel of the operator e itG0ψ1(h 2G0). ∣∣∣ ∣∣∣∂α2ξ ah(|y − ξ|, t/µ) ∣∣∣ ∣∣∣∂α3ξ Q(ξ) ∣∣∣ ≤ Ch−k−ε(t/µ)k+ε ∑ |α1|+|α2|+|α3|=|α| |x − ξ|−|α1||y − ξ|−|α2|−k−ε ∣∣∣∂α3ξ Q(ξ) ∣∣∣ , (3.28) ∣∣∂µ∂αξ W(µ,ξ) ∣∣ ≤ tµ−2 ∣∣∂αξ (ã ′ h(|x − ξ|, t(µ − 1)/µ)ah(|y − ξ|, t/µ)Q(ξ)) ∣∣ +tµ−2 ∣∣∂αξ (ãh(|x − ξ|, t(µ − 1)/µ)a ′ h(|y − ξ|, t/µ)Q(ξ)) ∣∣ ≤ Ctµ−2 ∑ |α1|+|α2|+|α3|=|α| ∣∣∣∂α1ξ ã ′ h(|x − ξ|, t(µ − 1)/µ) ∣∣∣ ∣∣∣∂α2ξ ah(|y − ξ|, t/µ) ∣∣∣ ∣∣∣∂α3ξ Q(ξ)
- keywords: cardoso; claudio; cubo; cuevas; dimensions; dispersive; equation; estimates; function; georgi; l1→l∞; log; n/2; potentials; proof; proved; regularity; satisfying; schrödinger; sup; t(µ; theorem; vodev; ∣∣∣
- versions: original; plain text
- cubo-1445
- author: McDowall, Stephen
- title: Optical Tomography for Media with Variable Index of Refraction
- date: 2009-12-01
- words: 10019
- flesch: 80
- summary: If x,y ∈ M then simplicity of (M,g) ensures there exists a unique geodesic from x to y; let d(x,y) be the geodesic distance between x and y, and let v(x,y) be the tangent vector at x of this geodesic. If y ∈ M, consider z = zy(t,v) = γ(y,v)(t) defined from the “polar” coordinates (t,v) ∈ R × ΩyM. Let Jy(z) denote the Jacobian determinant | det ∂z/∂(t,v)| −1 of this change of variables.
- keywords: albedo; boundary; case; change; constant; cubo; cκm; definition; denote; determination; determined; diam; dimensions; dµ(x′,v′; equation; estimate; euclidean; final; following; form; function; geodesic; index; inverse; kernel; lemma; m(x; mcdowall; measurements; media; metric; neighborhood; operator; optical; particles; point; problem; proof; proposition; ray; results; riemannian; scattering; section; series; simple; sin; small; solution; stationary; stephen; tangent; terms; theorem; tomography; transform; transport; v)(t; v)(−τ−(x; variables; vectors; volume; γ(x; γ(y; θ̃(x; τ−(x; ωxm; ωym; ∣∣∣
- versions: original; plain text
- cubo-1446
- author: Bleyer, Ismael; Leitão, A.
- title: On Tikhonov Functionals Penalized by Bregman Distances
- date: 2009-12-01
- words: 6496
- flesch: 81
- summary: ∈ ∂h (u) } , where ∂h (u) denotes the subdifferential of h at u and D ξ h (v,u) = h (v) − h (u) − 〈ξ , v − u〉 . (11) Notice that ∥∥Fuδα ∥∥2 − ‖Fu‖2 = ∥∥F ( uδα − u + αω )∥∥2 − ‖F (u − u + αω)‖2 + 2 〈 Fuδα − Fu , Fu − αFω 〉 H .
- keywords: assumption; banach; bregman; condition; convergence; cubo; d(f; data; definition; distance; estimate; existence; functionals; hold; inequality; method; minimizer; nonlinear; operator; problems; proof; rates; regularization; section; solution; source; step; theorem; tikhonov; uk+1; uδα; ∥∥2
- versions: original; plain text
- cubo-1447
- author: Gil, Juan B.
- title: Structure of Resolvents of Elliptic Cone Differential Operators: A Brief Survey
- date: 2009-12-01
- words: 4211
- flesch: 72
- summary: [T (λ)(A − λ)] : Dmax/Dmin → C d, and AD − λ is invertible if and only if FD(λ) = F (λ)|D/Dmin is invertible. Thus, for every domain D with Dmin ⊂ D ⊂ Dmax and all λ ∈ C, AD − λ : D → x −m/2L2b(M ; E) is Fredholm with ind(AD − λ) = ind AD.
- keywords: asymptotic; a∧,d∧; b(λ; boundary; case; closed; cone; cubo; differential; dimensional; dmax; dmin; domain; elliptic; extension; family; function; gil; growth; invertible; juan; math; minimal; near; operator; parameter; ray; res(a∧; resolvent; sector; set; space; spectral; spectrum; stationary; structure; theorem; x−m/2l2b; −m/2l2b
- versions: original; plain text
- cubo-1448
- author: Guillarmou, Colin
- title: Scattering Theory on Geometrically Finite Quotients with Rational Cusps
- date: 2009-12-01
- words: 18851
- flesch: 73
- summary: If moreover θ,θ ′ are chosen satisfying supp(θ) ∩ ck = ∅ and θθ ′ = 0 then θ′RXk (λ)θ ∈ ρ λρ′ λ R−1c C ∞ (X̄k × X̄k), θRXk (λ)θ ′ ∈ ρλρ′ λ R′c −1 C∞(X̄k × X̄k) (4.3) Proof : clearly, it is enough to show the lemma with θ,θ′ which are independent of the variable z ∈ T k. We recall from [8] that the explicit formula for the resolvent on Xk can be obtained by Fourier analysis on the z ∈ T k variable, RXk (λ) admits a meromorphic continuation to C and its Schwartz kernel can be written RXk (λ) = ∑ m∈Zk eiωm.(z−z ′)Rm(λ) (4.4) for λ /∈ For the term R0(λ), it is clear, using (4.6) and (4.7) that θR0(λ)θ ′ ∈ ρλρ′ λ R′c −1 C∞(X̄k × X̄k) 150 Colin Guillarmou CUBO 11, 5 (2009) which concludes the proof of (4.3) using the symmetry of the resolvent kernel.
- keywords: 0,∞; acc; blow; boundary; case; class; colin; compact; compactification; conformal; consequence; constant; construction; coordinates; cubo; cusps; c∞(x̄; defining; density; derivatives; differential; dvolh0; e(λ; eisenstein; equation; expansion; expression; extension; finite; flat; function; graham; guillarmou; hn+1; hyperbolic; ĥ0; infinity; kernel; k∞(λ; l2(b; laplacian; lemma; manifold; mapping; math; maximal; mazzeo; melrose; meromorphic; metric; model; multiplicity; m̄k; neighbourhood; non; n−k; odd; operator; order; parabolic; perry; point; poisson; poles; positive; previous; problem; proof; properties; proposition; pseudo; quotients; r(λ; rank; recall; resolvent; resonance; respect; restriction; results; rn−k; r′c; r−1c; s(λ; satisfies; satisfying; scattering; schwartz; section; sense; set; singularity; smooth; space; straightforward; structure; study; subgroup; submanifolds; support; t k; term; theorem; theory; vanishing; variable; view; volume; x̄k; |y|2
- versions: original; plain text
- cubo-1449
- author: Caldas, M.; Hatir, E.; Jafari, S.; Noiri, T.
- title: A New Kupka Type Continuity, λ-Compactness and Multifunctions
- date: 2009-09-01
- words: 6738
- flesch: 82
- summary: If F(x) 6= ∅ for every point x ∈ X, then there exists a nonempty, λ-closed set C of X such that F(C) = C. Proof. A net ξ = {xα | α ∈ Λ} λ-accumulates at a point x ∈ X if the net is frequently in every U ∈ λO(X,x), i.e. for each U ∈ λO(X,x) and for each α0 ∈ Λ, there is some α ≥ α0 such that xα ∈
- keywords: accumulation; card; closed; compact; compactness; continuity; continuous; cover; f(x; finite; function; irresolute; kupka; lower; n)-λ; open; point; proof; set; sets; space; subset; theorem; topological
- versions: original; plain text
- cubo-1450
- author: Venkov, George
- title: Small Data Global Existence and Scattering for the Mass-Critical Nonlinear Schrödinger Equation with Power Convolution in ℝ³
- date: 2009-09-01
- words: 5162
- flesch: 84
- summary: Key words and phrases: Nonlinear Schrödinger equation, power convolution, Hartree equation, local and global existence. [5] Ginibre, J. and Velo, G., On a class of nonlinear Schrödinger equations with nonlocal interaction, Math. Zeitschr.
- keywords: admissible; b2r; critical; cubo; data; equation; estimate; existence; following; global; hartree; inequality; initial; l2(r3; lemma; local; mass; math; nonlinear; operator; pair; posedness; problem; proof; scattering; schrödinger; small; solution; space; strichartz; theorem; time; u(t; venkov; wave
- versions: original; plain text
- cubo-1451
- author: Antoine, Xavier; Besse, Christophe; Szeftel, Jérémie
- title: Towards accurate artificial boundary conditions for nonlinear PDEs through examples
- date: 2009-09-01
- words: 7923
- flesch: 68
- summary: email: jszeftel@math.princeton.edu ABSTRACT The aim of this paper is to give a comprehensive review of current developments re- lated to the derivation of artificial boundary conditions for nonlinear partial differential equations. 1 Introduction The subject of designing artificial boundary conditions for linear scalar and systems of Partial Dif- ferential Equations (PDEs) has been studied since more than thirty years now.
- keywords: = −; a(x; abc; absorbing; accurate; antoine; approximation; artificial; artificial boundary; besse; boundary; boundary conditions; calculus; case; christophe; coefficients; computational; conditions; cubo; domain; e −i; equation; error; figure; functions; jérémie; linearization; math; n u; n+1; nonlinear; numerical; operator; order; point; potential; problem; pseudodifferential; relative; schemes; schrödinger; section; solution; strategy; symbols; szeftel; t u; time; transparent; variable; wave; xavier; α(u; β(u; ∂ n; ∂xu; −i π; ∞[×{xr
- versions: original; plain text
- cubo-1452
- author: Le Peutrec, D.
- title: Small singular values of an extracted matrix of a Witten complex
- date: 2009-09-01
- words: 3304
- flesch: 74
- summary: Consider a linear application B(h) depending on h ∈ (0, h0]: B(h) : We will apply this corollary in the particular case when C and D depend on h ∈ (0, h ′ 0 ] and are quasi-unitary: C(h)
- keywords: a0(h; analysis; b(h; case; complex; cubo; diffusion; eigenvalues; forms; induction; j(k; laplacians; linear; matrices; matrix; operator; oε(e−; processes; quasi; remark; singular; small; theorem; unitary; witten; η h; ∣∣∣
- versions: original; plain text
- cubo-1453
- author: Cuccu, Fabrizio; Popivanov, Petar; Porru, Giovanni
- title: Estimates for solutions to nonlinear degenerate elliptic equations
- date: 2009-09-01
- words: 4283
- flesch: 86
- summary: If h(r) = π for r ≤ ρ ≤ R we can replace E by the ball h(r) π for r ≤ ρ ≤ R. Define the set Gτ = {r ≤ ρ ≤ R, −τ ≤ θ ≤ τ}, with τ such that ∫ E |x|γdx = ∫ Gτ |x|γdx.
- keywords: 2πλ; case; condition; cubo; elliptic; equation; estimates; h(ρ; inequality; integral; p−1; rβ+1; rγ+2; solutions; special; sup; λ|x|βds; λ|x|γdx; ψ(x
- versions: original; plain text
- cubo-1454
- author: Combescure, Monique
- title: Circulant Matrices, Gauss Sums and Mutually Unbiased Bases, I. The Prime Number Case
- date: 2009-09-01
- words: 4690
- flesch: 79
- summary: Proof : For any j = 0, ...,d − 1, one has d−1∑ l=0 |ĉl|2ω−jl = 1 d d−1∑ l=0 ω −jl d−1∑ k=0 c̄kω −lk d−1∑ k′=0 ck′ω k′l = d−1∑ k,k′=0 c̄kck′ 1 d d−1∑ l=0 ω l(k′−k−j) = d−1∑ k=0 c[j+k]c̄k since d −1 d−1∑ l=0 ω l(k′−j−k) = δk′,[j+k] It is known ( [4], [13]) that circulant unitary Hadamard matrices are in one-to-one correspon- dance with bi-unimodular sequences c = (c0,c1, ...,cd−1). It is trivial to show that if the orthonormal bases Bk are the column vectors of an unitary matrix Ak, then the property that must satisfy the Ak’s in order that {1l,B1, ...,Bm} are MUB’s is that all Ak, k = 1, ...,m and A∗kAk′, k 6= k′ = 1, ...,m are unitary Hadamard matrices.
- keywords: bases; case; cd−1; circulant; combescure; cubo; dimension; discrete; d−1∑; exp; fourier; gauss; hadamard; j(j+1; k=0; matrices; matrix; mub; number; odd; prime; problem; proof; property; proposition; sequences; set; sums; transform; unbiased; unimodular; unitary; −1/2
- versions: original; plain text
- cubo-1455
- author: Toft, Joachim
- title: Pseudo-differential operators with smooth symbols on modulation spaces
- date: 2009-09-01
- words: 8276
- flesch: 79
- summary: In order to prove this, assume first that N1 = N, N2 = 0, f ∈ M̃0, and choose open sets Ω0 = {ξ ∈ Rd ; |ξ| < 2 }, and Ωj = {ξ ∈ Rd ; 1 < |ξ| < d|ξj| }. [1,∞] and ω ∈ P(R2d).
- keywords: applications; at(x; banach; constant; continuity; continuous; cubo; definition; differential; feichtinger; following; fourier; function; gröchenig; invariant; joachim; lemma; math; moderate; modulation; modulation spaces; operators; p(r2d; proof; properties; pseudo; pseudodifferential; remark; respect; result; set; smooth; spaces; symbols; t ∈; theorem; toft; translation; w p; weight; wiener; ω(x; ∈ r; ∈ s
- versions: original; plain text
- cubo-1456
- author: Pereira Gomes, Luiz Antonio; Brandani da Silva, Eduardo
- title: A Characterization of the Product Hardy Space 𝐻¹
- date: 2009-09-01
- words: 5102
- flesch: 86
- summary: To prove 3.2(3), since the map u ∈ IR −→ (ϕi(u)f(u); −n ≤ One of ingredients for the proof of the H1 characterization obtained in this work, consists of the theorems about singular integral vector operators contained in [12]. 2 Spaces H1(IR × IR) and HP,Q S (IR × IR) in the Product Case 2.1 Notations.
- keywords: 1,2; characterization; constant; cubo; f(x; functions; gomes; h1(ir; h1,2; hardy; hilbert; i=−∞; ir2; ir×ir; i∈zz; j∈zz; l2(ir; l∞c; math; measurable; norm; operators; product; proof; silva; space; test; theorem; triebel; ‖f‖h1(ir×ir
- versions: original; plain text
- cubo-1457
- author: Riihentaus, Juhani
- title: On an inequality related to the radial growth of subharmonic functions
- date: 2009-09-01
- words: 3676
- flesch: 79
- summary: Generalizamos el resultado de Pavlović a las así llamada funciones subarmónicas casi-cercanas definidas en dominios bastante generales en Rn, n ≥ 2. Key words and phrases: Subharmonic function, quasi-nearly subharmonic function, accessible boundary point, approach region, integrability condition, radial order. Observe that Gehring, Hallenbeck and Stoll in fact considered subharmonic functions and that the limit in (2) was uniform in Stolz approach regions (in Stoll’s result in even more general regions).
- keywords: bn(x; boundary; constant; cubo; dhd(ζ; functions; general; inequality; lebesgue; let; math; pavlović; proof; quasi; radial; result; riihentaus; subharmonic; sup; theorem; u(x; u(y; δ(x; δ(x)n+γ; ϕ−1(δ(x))]−du(x
- versions: original; plain text
- cubo-1459
- author: Becker, Leigh C.
- title: Uniformly Continuous 𝐿¹ Solutions of Volterra Equations and Global Asymptotic Stability
- date: 2009-08-01
- words: 8407
- flesch: 86
- summary: Integrating, we obtain V (t) − V (τ) ≤ −k ∫ t τ x 2 (s) ds. x 2 (t) ∫ t 0 | cos s| (1 + t)2 ds ≤ − ( 1 − 1 1 + t − t (1 + t)2 ) x 2 (t), which simplifies to V ′ (t) ≤
- keywords: a(s; a(t; asymptotic; b(t; becker; c[0; conditions; constant; continuous; cubo; equations; f(t; functions; initial; l1[0,∞; leigh; lemma; liapunov; positive; proof; s)x(s; s)|du; solution; stability; stable; t s; t t0; theorem; volterra; x(t; |b(u; |ϕ|t0; ϕ(t; − ∫
- versions: original; plain text
- cubo-1460
- author: Wang, Tingxiu
- title: Some General Theorems on Uniform Boundedness for Functional Differential Equations
- date: 2009-08-01
- words: 5702
- flesch: 91
- summary: For k = 0, integrating (iii) from t0 to t ∈ I0, we have V (t, Xt) Therefore for each k = 0, 1, 2, · · · , there is a qk ∈ Ik such that V (qk, Xqk ) < ∆. Now for each t ≥ t0, V (t, Xt) ≤ ∆ if t ∈ I0 (see(3)), CUBO 11, 3 (2009) Some General Theorems on Uniform Boundedness ... 33 or if t ∈ Ik, k = 1, 2, 3, · · · , (iii) implies V (t, Xt) ≤ V (qk, Xqk )
- keywords: boundedness; continuous; cubo; d(u; differential; equations; iii; solutions; stability; t t−h; theorem; t−h; u.b; uniform; wang; xu)du
- versions: original; plain text
- cubo-1461
- author: Zhang, Bo
- title: Boundedness and Global Attractivity of Solutions for a System of Nonlinear Integral Equations
- date: 2009-08-01
- words: 4404
- flesch: 85
- summary: + ∫ t 0 e A(t−s) ˜G(s,x(s))ds (1.7) with a view of proving the existence and qualitative behavior of solutions by applying fixed point theorems. = ∫ t 0 ( ∫ t s g(v,x(v))dv )T Ds(t,s) ( ∫ t s g(v,x(v))dv ) ds + ( ∫ t 0 g(v,x(v))dv )T D(t, 0)
- keywords: = ∣; attractivity; boundedness; burton; cubo; d(t; differential; equations; function; g(t; g(v; global; h(t; integral; levin; liapunov; nonlinear; s)g(s; solutions; x(s))ds; x(t; x(v))dv; ‖ds(tn; ∣ ∣; ∣ ∫
- versions: original; plain text
- cubo-1462
- author: Furumochi, Tetsuo
- title: Periodic Solutions of Periodic Difference Equations by Schauder’s Theorem
- date: 2009-08-01
- words: 3099
- flesch: 71
- summary: In this paper, we give some new existence results of periodic solutions for periodic difference equations by using Schauder’s fixed point theorem and a convex Liapunov function, and show that the existence problem of periodic solutions of a periodic difference equation with infinite delay can be reduced to the existence problem of periodic solutions of an auxiliary difference equation with finite delay. 3 Periodic difference equations with finite delay In this section, concerning the existence of periodic solutions of periodic difference equations with finite delay, we state some known results.
- keywords: continuous; convex; delay; difference; differential; equations; existence; f(n; functional; furumochi; periodic; periodic difference; periodic solutions; point; set; solutions; theorem; x(n
- versions: original; plain text
- cubo-1463
- author: Kirk, C.M.
- title: A Localized Heat Source Undergoing Periodic Motion: Analysis of Blow-Up and a Numerical Solution
- date: 2009-08-01
- words: 4791
- flesch: 68
- summary: A brief survey is presented of the literature concerning numerical studies of nonlinear Volterra integral equations with weakly singular kernels that exhibit blow-up solutions. In fact, the numerical modeling of nonlinear Volterra integral equations with blow-up solutions can be a difficult problem.
- keywords: amplitude; analysis; appl; behavior; blow; brunner; collocation; continuous; cubo; diffusive; equations; exp; frequency; heat; integral; k(t; kirk; localized; math; methods; motion; nonlinear; numerical; olmstead; periodic; problem; results; singular; solution; source; theorem; ti+1; time; tn+1; tn+1−s; u(t; volterra; w.e; weakly; −a2[cos(ωtn+1)−cos(ωs
- versions: original; plain text
- cubo-1464
- author: Henderson, J.; Ntouyas, S.K.; Purnaras, I.K.
- title: Positive Solutions for Systems of Three-point Nonlinear Boundary Value Problems with Deviating Arguments
- date: 2009-08-01
- words: 7039
- flesch: 90
- summary: ≤ 1 1 − αη ∫ 1 0 (1 − s)y(s)ds, for all t ∈ − αη ∫ 1 η (1 − s)y(s)ds.
- keywords: boundary; bvp; cubo; henderson; i.k; lim; max; min; nonlinear; ntouyas; point; positive; problems; s.k; solutions; systems; theorem; u(t; v(t; value; − αη
- versions: original; plain text
- cubo-1465
- author: Grimmer, Ronald; He, Min
- title: Fixed Point Theory and Nonlinear Periodic Systems
- date: 2009-08-01
- words: 4685
- flesch: 81
- summary: Based on semigroup theory, when A(ε) generates a C0-semigroup T (t, ε), the weak solution of (1.6) will have the form z(t, ε) = T (t, ε)z0 + ∫ t 0 T (t − s, ε)F (s, z(s, ε), ε) ds. = T (t, ε)z0 + ∫ t 0 T (t − s, ε)F (s, ε) ds.
- keywords: a(ε; continuity; continuous; cubo; equation; f2(t; nonlinear; operator; parameters; periodic; point; proof; semigroup; solution; theorem; unique; z(t
- versions: original; plain text
- cubo-1466
- author: Islam, Muhammad N.; Raffoul, Youssef N.
- title: Bounded Solutions and Periodic Solutions of Almost Linear Volterra Equations
- date: 2009-08-01
- words: 2685
- flesch: 85
- summary: Multiply both sides of (3.7) with e−H ∫ t 0 a(s)ds and then integrate both sides from t − T to t, to obtain x(t)[e −H ∫ t t−T a(s)ds − 1]e−H ∫ t−T 0 a(s)ds = ∫ t t−T [ − Ha(u)x(u) + a(u)h(x(u)) + ∫ t −∞ C(t,s)g(x(s))ds + p(t), t ∈ (−∞,∞).
- keywords: a(s)ds; a(t; assume; c(t; continuous; equations; integral; linear; resolvent; solution; theorem; t−t; t−t a(s)ds; volterra; x(t
- versions: original; plain text
- cubo-1467
- author: Griechisch, Erika
- title: Some Theoretical Issues Concerning Hamming Coding
- date: 2009-05-01
- words: 1911
- flesch: 85
- summary: In this case 〈A〉 = 〈B〉 = G. In 1970 L. Rédei conjectured if G = AB is a normalized factorization of G and G is of type (p, p, p), then either 〈A〉 6= G or 〈B〉 6= G has the Rédei property if from each normalized factorization G = AB it follows that either 〈A〉 6= G or 〈B〉 6= G.
- keywords: case; factorization; groups; property; rank; rédei; subgroup; table; type; x1x
- versions: original; plain text
- cubo-1468
- author: Szilagyi, Miklos N.
- title: 𝑁-Person Games with Crossing Externalities
- date: 2009-05-01
- words: 2401
- flesch: 65
- summary: In this short paper we look at other N -person games with crossing payoff functions. May 2009 N-Person Games with Crossing Externalities Miklos N. Szilagyi Department of Electrical & Computer Engineering, University of Arizona, Tucson, AZ 85721-0104 email: szilagyi@ece.arizona.edu ABSTRACT We report computer simulation experiments based on our agent-based simulation tool to model uniform N -person games with crossing payoff functions for the case when the agents are greedy simpletons who imitate the action of that of their neighbors who received the highest payoff for its previous action.
- keywords: -person; action; agents; array; behavior; changes; chicken; cooperators; crossing; cubo; defectors; figure; functions; game; greedy; lines; number; para; payoff; point; ratio; simpletons; simulation; szilagyi; total; value; xcross; xfinal
- versions: original; plain text
- cubo-1469
- author: Dal Forno, Arianna; Merlone, Ugo
- title: Optimal Effort in Heterogeneous Agents Population with Global and Local Interactions
- date: 2009-05-01
- words: 7988
- flesch: 67
- summary: Figure 1: Fixed vs Committed As the number of committed players approaches the whole population, their effort approx- imates e C and, the higher is the effort provided by fixed effort agents, the lower is the optimal effort supplied by committed players. Furthermore, when few committed agents face a population of fixed effort agents, they will expect a low probability of facing another committed agent.
- keywords: agents; arianna; best; committed; composition; coordination; cubo; dal; e c; eco; effort; equilibrium; figure; fixed; following; forno; game; heterogeneous; incentive; individual; interaction; local; max; merlone; model; nash; neighborhood; optimal; particular; policy; population; problem; profit; ranking; rational; results; second; section; set; strategies; theorem; ugo
- versions: original; plain text
- cubo-1470
- author: Szidarovszky, Ferenc; Zhao, Jijun
- title: The Dynamic Evolution of Industrial Clusters
- date: 2009-05-01
- words: 6913
- flesch: 65
- summary: To react to the higher price of supplies and higher labor price, the producers cut their production levels and labor usage. 3 Conclusions This paper first introduced a static model of describing the mechanism of industrial clusters including sup- pliers and final product producers.
- keywords: behavior; bjl; c =; case; changes; clusters; cubo; decrease; dynamic; evolution; ferenc; figure; final; final products; firms; function; group; higher; increase; industrial; initial; innovation; ĩj; jijun; labor; level; limit; linear; market; model; oscillations; output; patterns; price; producers; productivity; products; profit; results; simulation; suppliers; supply; szidarovszky; time; trajectories; usage; value; xij; zhao
- versions: original; plain text
- cubo-1471
- author: Szidarovszky, Ferenc; Smith, Vernon L.; Rassenti, Steven
- title: Cournot Models: Dynamics, Uncertainty and Learning
- date: 2009-05-01
- words: 12004
- flesch: 73
- summary: = xl(B − εkQ) − (αlxl + βl), (7.24) so the best believed output choice is xl = B − αl εk − Q, and the believed total production of the industry is Q (k) = N B − ∑N l=1 αl (N + 1)εk . In this further special case relation (3.10) simplifies to the following: N r 1 − r > −1 which can be rewritten as r > −1 N − 1 .
- keywords: = −; actual; behavior; believed; best; case; ck(xk; classical; conditions; cost; cournot; cubo; denote; different; dynamic; economic; environment; equation; equilibrium; experimental; ferenc; firm; firm k; following; function; game; industry; information; k=1; l=1; learning; market; models; nash; negative; new; notice; oligopoly; output; price; process; production; profit; r(n; rassenti; real; response; results; roots; session; simple; smith; special; stability; stable; state; steady; steven; subject; system; szidarovszky; t k; theory; time; true; uncertainty; unit; value; vernon; xk(t
- versions: original; plain text
- cubo-1472
- author: Chiarella, Carl; Szidarovszky, Ferenc
- title: Dynamic Oligopolies and Intertemporal Demand Interaction
- date: 2009-05-01
- words: 6046
- flesch: 77
- summary: [ (h̄ − K)2 − (n − 1)K2r ] K(nhr̄ + h̄) + (Kz − h̄) < 0 which can be simplified as (Kz − h̄)(h̄ − K) + T ( (h̄ − K)2 − (n − 1)K2r )
- keywords: = −; ak(λ; assume; bk(λ; carl; case; chiarella; conditions; critical; cubo; cycle; demand; dynamic; equation; equilibrium; ferenc; figure; firm; information; interaction; intertemporal; k=1; negative; nhkr̄; oligopolies; oligopoly; positive; real; roots; stability; stable; state; steady; szidarovszky; theorem; time; value; xkf
- versions: original; plain text
- cubo-1473
- author: Chiarella, Carl; Szidarovszky, Ferenc
- title: A Multiobjective Model of Oligopolies under Uncertainty
- date: 2009-05-01
- words: 3034
- flesch: 68
- summary: The derivative of the objective function (2.4) with respect to qj can be given as qj f ′ (Q) + f (Q) − C′j (qj ) − αj qj σ 2 j . We can rewrite equation (2.11) as qj f ′ (Q) + f (Q) − C′j (qj ) = αj qj σ 2 j .
- keywords: best; chiarella; conditions; cubo; demand; equation; equilibrium; expected; firm; function; hand; left; model; multiobjective; oligopoly; output; product; profit; response; solution; szidarovszky; theorem; time; uncertainty; unique
- versions: original; plain text
- cubo-1474
- author: Kapolyi, László
- title: Network Oligopolies with Multiple Markets
- date: 2009-05-01
- words: 3500
- flesch: 76
- summary: Notice that ∂Πk ∂xki = pi + xki ∂pi ∂si + ∑ j 6=i xkj ∂pj ∂si − C′k − T ′ ki = pi + M ∑ l=1 xkl ∂pl ∂si − C′k − T ′ ki, (3) furthermore ∂ 2 Πk ∂x 2 ki = 2 ∂pi ∂si + xki ∂ 2 pi ∂s 2 i + ∑ j 6=i xkj ∂ 2 pj ∂s 2 i − C′′k − T ′′ ki (4) and ∂ 2 Πk ∂xki∂xkj = ∂pi ∂sj + ∂pj ∂si + M ∑ l=1 xkl ∂ 2 pl ∂si∂sj − C′′k . and Lki − xki ≥ 0.
- keywords: case; ck(qk; conditions; cost; cubo; equilibrium; firm; function; i=1; k=1; linear; lki; markets; matrix; model; multiple; network; oligopolies; positive; price; problem; profit; solution; stability; system; uki; vki; xki; xkj; ∂si; ∂πk;
- versions: original; plain text
- cubo-1475
- author: Kugler, Tamar; Szidarovszky, Ferenc
- title: An Inter-Group Conflict and its Relation to Oligopoly Theory
- date: 2009-05-01
- words: 3772
- flesch: 72
- summary: The concavity of fk implies that the best response of player k is given as Rk(Qk) = 0 if ∂fk ∂xk |xk=0≦ 0 Lk if ∂fk ∂xk |xk=Lk ≧ 0 z ∗ k otherwise (8) where z∗k is the unique solution of equation ∂fk ∂zk = AQk (zk + Qk) 2 − βk = 0 In summary, the best response function of player k is equivalent with the following: R̄k(Q) = 0 if Q = 0 or Q ≧
- keywords: best; case; conflict; contribution; cubo; equation; equilibrium; figure; firm; function; game; good; group; inter; k=1; kugler; members; oligopoly; players; public; q(1; relation; response; r̄k(q; szidarovszky; theory; unique; xki; yki
- versions: original; plain text
- cubo-1476
- author: Qiao, Haiyan; Edwards, Brandon
- title: A General Purpose Platform for Data Clustering Analysis
- date: 2009-05-01
- words: 3390
- flesch: 53
- summary: In the analysis of complex survey data, cluster analysis is usually the crucial step to dis- cover patterns that will be used in the decision-makings such as the target audience for a product, the development of new products etc. A few platforms for cluster analysis have been developed for some CUBO 11, 2 (2009) A General Purpose Platform for Data Clustering Analysis 141 special contexts or purposes; see [4, 5].
- keywords: algorithms; analysis; brandon; centroid; clustering; clusters; cubo; data; data clustering; density; development; different; display; distance; easy; edwards; figure; general; haiyan; hierarchical; important; interface; knowledge; linkage; matlab; means; methods; metric; netbeans; noise; number; parameters; platform; point; problem; procedure; purpose; qiao; results; sciences; set; similarity; single; social; user; visual
- versions: original; plain text
- cubo-1477
- author: Constales, D.; De Almeida, R.; Krausshar, R.S.
- title: A Generalization of Wiman and Valiron’s theory to the Clifford analysis setting
- date: 2009-03-01
- words: 6667
- flesch: 72
- summary: (7) 3 Order of growth of monogenic functions in Rn+1 In this overview paper we restrict us to treat entire monogenic functions. Notice that Taylor series actually are a natural method to construct and to define entire monogenic functions.
- keywords: algebra; almeida; analysis; asymptotic; behavior; c(n; cauchy; central; cl0n; classes; classical; clifford; complex; constales; cos; cubo; differential; dimensional; entire; equations; f(z; following; formula; function; generalization; generalized; growth; higher; index; inf; integral; kraußhar; left; lim; log; log(r; m(r; maximum; monogenic; order; partial; polynomials; r.s; real; riemann; rn+1; series; sin; solutions; sup; taylor; term; theorem; theory; type; valiron; wiman; |m|; |ν(r)|; µ(r; ρ(f
- versions: original; plain text
- cubo-1478
- author: Tolksdorf, Jürgen
- title: Dirac Type Gauge Theories – Motivations and Perspectives
- date: 2009-03-01
- words: 13028
- flesch: 68
- summary: In fact, the former should be considered as a functional of a specific class of Dirac type operators on (31) and hence as a specific restriction of a much more general functional (c.f. our discussion in the next section). The form (43) of the Einstein-Hilbert action makes it most explicit how the metric gM can be replaced by (a specific class of) Dirac type operators and hence how the Einstein-Hilbert functional determines a Clifford action γ on a twisted Grassmann bundle (31).
- keywords: action; algebra; anti; appropriate; associated; bundle; c.f; case; chosen; class; clifford; complex; connection; considered; contrast; corresponding; covariant; cubo; curvature; d(eλ; differential; dirac; dirac action; dirac operators; dirac type; dvolm; einstein; electromagnetic; end(e; end(eλ; equations; field; following; form; functional; gauge; general; generalized; geometrical; grassmann; group; hand; hermitian; hilbert; i/∂; jürgen; laplacian; like; loc; local; manifold; matter; maxwell; mills; module; motivations; note; operator; order; particle; particular; pauli; perspectives; potential; pp̄; principal; real; respect; riemannian; sec(m; section; semi; space; specific; spinor; square; structure; terms; theories; tolksdorf; tre; twisted; type; underlying; universal; vector; yang; γ(fa
- versions: original; plain text
- cubo-1479
- author: Brackx, Fred; De Schepper, Hennie; Sommen, Frank; Van de Voorde, Liesbet
- title: Discrete Clifford analysis: an overview
- date: 2009-03-01
- words: 6874
- flesch: 74
- summary: Key words and phrases: discrete Clifford analysis, discrete function theory, discrete Cauchy formula. − f(x − ej), j = 1, . . .
- keywords: algebra; analysis; backward; basis; brackx; case; cauchy; clifford; complex; cubo; definition; degree; dimensional; dirac; discrete; e −; e(x; f(x; forward; function; fundamental; graph; gt(x; homogeneous; inner; j e; j=1; k e; laplacian; metric; model; monogenic; operator; order; overview; pk(x; points; polynomial; r0,m; scalar; schepper; section; set; sommen; space; spherical; support; theorem; theory; van; vectors; voorde
- versions: original; plain text
- cubo-1480
- author: Gürlebeck, K.; Morais, J.
- title: On mapping properties of monogenic functions
- date: 2009-03-01
- words: 10511
- flesch: 73
- summary: March 2009 On mapping properties of monogenic functions K. Gürlebeck and J. Morais Institute of Mathematics / Physics, Bauhaus-University, Weimar, Germany. email: guerlebe@fossi.uni-weimar.de email: jmorais@mat.ua.pt ABSTRACT Main goal of this paper is to study the description of monogenic functions by their geometric mapping properties.
- keywords: analytic; associated; ball; bohr; case; class; coefficients; complex; conformal; constants; cos; cubo; degree; derivative; dimensional; expansion; f(0; f(ξ; following; fourier; functions; generalized; gürlebeck; harmonics; homogeneous; hyperholomorphic; inequality; inner; integrable; l2(br; left; lemma; linear; m,†; m,† n; m=1; mapping; monogenic; monogenic functions; morais; n+1; n+1 n; operator; orthogonal; point; polynomials; previous; product; proof; properties; proposition; quaternionic; radius; real; relations; remark; resp; respect; result; sc(y; series; space; spherical; square; study; sup; theorem; theory; unit; |sc; |ξ|≤r; α0 n; ‖l2(br;a;r; ‖l2(s;a;r; ‖sc(x
- versions: original; plain text
- cubo-1481
- author: Ludkovsky, S.V.
- title: Wrap groups of fiber bundles and their structure
- date: 2009-03-01
- words: 13264
- flesch: 80
- summary: ∈ N. Take δ = δm = 1/m and f = fm ∈ H ∞ p such that < fm >t,H= g 1/m. On the other hand, jg1/m = gj/m for each j < mǫ, j ∈ N, hence fj/m(M) = f1/m(M) for each j < mǫ, since f ∨ h(M ∨ M) = f(M) ∨ h(M) and using embedding η of (SMN)t,H into (W MN)t,H. CUBO 11, 1 (2009) Thus there exists the quotient uniform space Ht p (M,{X0,q : q = 1, ...,k}; W,y0)/Rt,H =: (S ME)t,H. In view of [30, 31] DifH t p (M) is the group of diffeomorphisms for t ≥ [m/2] + 1.
- keywords: -diffeomorphic; -differentiable; arcwise; associative; bundles; canonical; case; charts; class; closed; commutative; compact; complete; conditions; connected; continuous; corners; cubo; definition; difh; dimensional; element; embedding; equivalence; family; fiber; functions; groups; h t; ht p; iii; infinite; isomorphic; k(x; limn→∞; loop; ludkovsky; m,{s0,q; manifolds; mapping; marked; neighborhood; non; octonion; open; parallel; plot; points; principal; product; pseudo; q=1,; quadrants; quaternion; quotient; real; relative; s.v; s0,q; separable; sequence; sme)t; space; structure; subset; t p; topological; transport; uniform; uniformity; wedge; wme)t; wrap
- versions: original; plain text
- cubo-1482
- author: Perotti, Alessandro
- title: Regular quaternionic functions and conformal mappings
- date: 2009-03-01
- words: 7966
- flesch: 79
- summary: email: perotti@science.unitn.it ABSTRACT In this paper we study the action of conformal mappings of the quaternionic space on a class of regular functions of one quaternionic variable. Every element of Holp(Ω, H) is regular, but there exist regular functions that are not holomorphic for any p.
- keywords: alessandro; biregular; c1(ω; cauchy; class; complex; composition; conformal; constant; corollary; cubo; dimensional; d|2; e(f; energy; example; following; fueter; function; holomorphic; holomorphicity; holp(ω; hyperholomorphic; identity; kernel; left; m(f; mappings; maps; matrix; p(z; perotti; proof; properties; quadric; quaternionic; r(ω; rank; real; regular; regular function; regularity; remark; respect; result; rota; rotation; rotγ(a; space; structure; theorem; transformation; unit; w.r.t; z̄1; γ(a; γ(b; ;
- versions: original; plain text
- cubo-1483
- author: Sproessig, Wolfgang; Thu Hoai, Le
- title: On a new notion of holomorphy and its applications
- date: 2009-03-01
- words: 5169
- flesch: 83
- summary: = −e2e1 = e3 , e2e3 Then the general operators L,T and P are given by L := D + iα (Dirac operator with mass), (Tu)(x) := − 1 σ3 ∫ G eiα(x
- keywords: applications; boundary; corollary; cubo; discrete; following; formula; fractional; functions; general; gontcharov; hoai; holomorphy; i=1; integral; ker; m−1∑; new; notion; operator; order; proof; property; ptru; right; set; sproessig; taylor; teodorescu; theorem; thu; tlu; trace; transform; tru; type; u(t; value; wolfgang; γ(α
- versions: original; plain text
- cubo-1484
- author: Park, Sehie
- title: Remarks on KKM Maps and Fixed Point Theorems in Generalized Convex Spaces
- date: 2008-12-01
- words: 5164
- flesch: 78
- summary: Since 1993, the author has initiated the study of the KKM theory on generalized convex spaces (or G-convex spaces) (X, D; Γ) as a common generalization of various general convexities without linear structures due to other authors. [12] S. Park, Elements of the KKM theory for generalized convex spaces, Korean J. Comput.
- keywords: abstract; authors; closed; continuous; convex; convex space; cubo; definition; function; generalized; kkm; map; maps; math; nonempty; park; point; property; set; space; theorem; theory; topological; type; φa}a∈〈d
- versions: original; plain text
- cubo-1485
- author: Shinzato, Rinko; Takahashi, Wataru
- title: A Strong Convergence Theorem by a New Hybrid Method for an Equilibrium Problem with Nonlinear Mappings in a Hilbert Space
- date: 2008-12-01
- words: 4918
- flesch: 87
- summary: Azni − Auni〉 − 〈v − zni , zni − uni λni 〉 ≥ −‖v − zni‖‖Azni − Auni‖ − ‖v − u‖ − ‖yn − u‖) ≤ (‖xn − u‖ + ‖yn − u‖)‖xn
- keywords: convergence; convex; cubo; equilibrium; hilbert; i(c; inequality; inverse; mapping; monotone; nonexpansive; problem; set; solutions; space; strong; takahashi; theorem; variational; zni; ‖xn; ‖yn; − u‖
- versions: original; plain text
- cubo-1486
- author: Andres, Jan; Pastor, Karel; Snyrychov´a, Pavla
- title: Simple Fixed Point Theorems on Linear Continua
- date: 2008-12-01
- words: 6580
- flesch: 83
- summary: Introduction (Fixed point theorems in low dimensions) [G1] L. Górniewicz, Present state of the Brouwer fixed point theorem for multivalued map- pings, Ann. Sci.
- keywords: andres; closed; connected; connectivity; continua; continuous; cubo; example; fixed; graph; interval; lemma; linear; maps; math; multivalued; orbit; pastor; point; relation; sharkovskii; simple; šnyrychová; theorem; upper; values; ϕ(x; ∈ n; ; ; ; ;
- versions: original; plain text
- cubo-1487
- author: Petrus¸el, Adrian; Rus, Ioan A.; S¸erban, Marcel Adrian
- title: Fixed Points for Operators on Generalized Metric Spaces
- date: 2008-12-01
- words: 9073
- flesch: 87
- summary: Moreover, if x ∈ X, then there exists i(x) +∞; iii) there exist x ∈ X and n (x) ∈ N such that d ( f n(x) (x) , f n(x)+1 (x) ) <
- keywords: adrian; complete; contraction; cubo; d(x; definition; f n; fixed; following; generalized; generalized metric; i.a; lemma; let; metric; multivalued; operator; petruşel; picard; point; proof; rus; sequence; set; space; theorem; weakly; xi(x0; xn)n∈n
- versions: original; plain text
- cubo-1488
- author: Rhoades, B.E.
- title: A Fixed Point Theorem for Certain Operators
- date: 2008-12-01
- words: 1767
- flesch: 91
- summary: − xn‖ ≤ g(max{‖xn − p‖, ‖xn − T xn‖, ‖p − T p‖, ‖xn − T p‖, ‖p − T xn‖}) → p. Again using (3), ‖T p − T xn‖ ≤ g(max{‖p − xn‖, ‖p − T p‖, ‖yn‖, ‖p − T xn‖, ‖xn − T p‖}).
- keywords: cubo; d(p; d(t; fixed; lim; maps; point; satisfying; theorem; xn‖
- versions: original; plain text
- cubo-1489
- author: Balaj, Mircea; O’Regan, Donal
- title: An Intersection Theorem and its Applications
- date: 2008-12-01
- words: 4449
- flesch: 83
- summary: Suppose that the following conditions are satisfied: (i) one of the following requirements is fulfilled: (i1) for each z ∈ Z the set {x ∈ X : p(x, z) < α} is open; (i2) p is marginally upper semicontinuous in x and for each y ∈ Y the set {z ∈ Z : q(y, z) ≥ β} is closed; (ii) for each x ∈ X the set {z ∈ Z : p(x, z) < α} is convex; (iii) q is (y, z)-quasiconvex; (iv) for x ∈ X, y ∈ Y and z ∈ Z the following implication holds: p(x, z) < α and q(y, z) < β ⇒ t(x, y) < in z; (ii) p is quasiconvex in z; (iii) q is (y, z)-quasiconvex; (iv) for x ∈ X, y ∈ Y and z ∈ Z the following implication holds:
- keywords: c(z; closed; compact; convex; following; map; maps; p(x; q(y; semicontinuous; set; space; t(x; theorem; topological; values; vector
- versions: original; plain text
- cubo-1490
- author: V¨ath, Martin
- title: A Disc-Cutting Theorem and Two-Dimensional Bifurcation of a Reaction-Diffusion System with Inclusions
- date: 2008-12-01
- words: 6568
- flesch: 76
- summary: Now we can apply the disc-cutting theorem with S = Q ∩ Bglobal(d∗). = Ω ∩ Q, Ω4 := (Q \ Ω) ∩ Q = Q \ Ω, R := Q0 \
- keywords: assume; bifurcation; boundary; case; compact; connected; cubo; cutting; disc; following; functions; global; interior; intersects; open; point; set; theorem;
- versions: original; plain text
- cubo-1491
- author: Suzuki, Tomonari
- title: Browder Convergence and Mosco Convergence for Families of Nonexpansive Mappings
- date: 2008-12-01
- words: 3188
- flesch: 85
- summary: It is easy to verify that for u ∈ C, P(α,t)u is the unique point satisfying x = (1 − α) T (t)x + αu. December 2008 Browder Convergence and Mosco Convergence for Families of Nonexpansive Mappings Tomonari Suzuki* Department of Mathematics, Kyushu Institute of Technology, Tobata, Kitakyushu 804-8550, Japan email: suzuki-t@mns.kyutech.ac.jp ABSTRACT We study the relationship between Browder’s strong convergence and Mosco conver- gence of fixed-point set for families of nonexpansive mappings.
- keywords: banach; browder; convergence; converges; f(p; f(sn; f(t; let; limn; mapping; math; mosco; nonexpansive; opial; point; property; sequence; space; theorem; weakly; ‖uk
- versions: original; plain text
- cubo-1492
- author: Moussaoui, Toufik; Precup, Radu
- title: Positive Solutions for Elliptic Boundary Value Problems with a Harnack-Like Property
- date: 2008-12-01
- words: 2765
- flesch: 85
- summary: u ≤ r and x Then T has a fixed point with r ≤ ‖u‖ ≤ R. 2 Existence results for Problem 1.1 In this section, E is the Banach space C0(Ω, R) = {u ∈ C(Ω, R) : u = 0 on ∂Ω} endowed with norm ‖.‖ 0 , and C is the cone C = {u ∈ C0(Ω, R+) : u(x)
- keywords: elliptic; positive; problem; theorem; ‖u‖0
- versions: original; plain text
- cubo-1493
- author: Heikkila, Seppo
- title: Fixed Point Results for Set-Valued and Single-Valued Mappings in Ordered Spaces
- date: 2008-12-01
- words: 8316
- flesch: 81
- summary: Moreover, it follows from (O) that the functions F |CF , F ∈ C, considered as relations in P × P , are nested. ∈ P and for every y ∈ P .
- keywords: br(c; center; chain; complete; cubo; element; f(x; finite; fixed; following; g(x; g[c; greatest; inf; lemma; maximal; minimal; nonempty; normed; ordered; point; proof; proposition; results; sequences; set; solution; spaces; subset; sup{c; upper
- versions: original; plain text
- cubo-1494
- author: Fakhar, M.; Zafarani, J.
- title: A New Version of Fan’s Theorem and its Applications
- date: 2008-12-01
- words: 4017
- flesch: 79
- summary: X. Suppose that Γ : K ⇉ K is a set-valued mapping such that the following conditions are satisfied: (i) Γ is a KKM map; (ii) for all A ∈ < K >, Γ is transfer closed-valued on conv(A); (iii) for all x, y ∈ K, clK ( ⋂ u∈[x,y] Γ(u)) ∩ [x, y] = ( ⋂ u∈[x,y] Γ(u)) Let K be a nonempty convex subset of a (t.v.s.) X and S : K ⇉ K a set-valued map such that: (i) for each A ∈< K >, S− is transfer open valued on conv(A); (ii) for each x, y ∈ K; int ⋃ z∈[x,y] S−(z) ∩ [x, y] = ⋃ z∈[x,y] S−(z) ∩ [x, y]; (iii) there exist a nonempty convex compact subset B of K and a nonempty compact subset D of K such that, for each y ∈ K \ D there exists x
- keywords: clk; closed; compact; condition; conv(a; convex; fan; fixed; map; nonempty; point; subset; theorem; transfer; γ(u; γ(x
- versions: original; plain text
- cubo-1495
- author: Aslam Noor, Muhammad; Inayat Noor, Khalida
- title: Proximal-Resolvent Methods for Mixed Variational Inequalities
- date: 2008-10-01
- words: 4430
- flesch: 66
- summary: For a positive constant α, we consider u = u − αR(u) = u − α{u − Jϕ[u − ρT u]}, which is another fixed point problem. zn = Jϕ[un − ρnT wn] (7) un+1 = un − α(un − zn), n = 0, 1, 2, . . .
- keywords: algorithm; appl; approximate; aslam; closed; convergence; convex; cubo; equivalent; formulation; function; inequalities; inequality; iterative; jϕ[un; known; math; methods; mixed; mixed variational; new; noor; operator; point; problems; projection; proximal; resolvent; set; solution; un −; un+1; variational; variational inequalities; − ρt
- versions: original; plain text
- cubo-1496
- author: Anastassiou, George A.
- title: Poincar´e Type Inequalities for Linear Differential Operators
- date: 2008-10-01
- words: 1871
- flesch: 97
- summary: p < 1, q < 0 : 1 p + 1 q = 1, ν > 0. Assume H (x, t) ≥ 0 for x0 ≤ t ≤ x, and Ly = h is of fixed sign and nowhere zero. (4) When ν = q we have 2) ‖y‖ Lq (x0,b) ≤ ( ∫ b x0 ( ∫ x x0 |H (x, t)| p dt )q/p dx )1/q ‖Ly‖ Lq (x0,b) .
- keywords: t)|; ‖ly‖; ∣ ∣
- versions: original; plain text
- cubo-1497
- author: Agarwal, Ravi P.; Filippakis, Michael E.; O’Regan, Donal; Papageorgiou, Nikolaos S.
- title: Multiple Solutions for Doubly Resonant Elliptic Problems Using Critical Groups
- date: 2008-10-01
- words: 7195
- flesch: 87
- summary: + c|x| for a.a. z ∈ Z, all x ∈ R, with a ∈ L∞(Z)+,c > 0, ⇒ |f(z,xn(z))| ‖xn‖ ≤ a(z) ‖xn‖ + c|yn(z)| for a.a. z ∈ Z, all n ≥ 1, (3.1) ⇒ { f(·,xn(·)) ‖xn‖ } n≥1 ⊆ L2(Z) is bounded. − λ1 for a.a. z ∈ Z and all 0 < |x| ≤ δ.
- keywords: a.e; agarwal; condition; contradiction; critical; cubo; double; e(λ1; e(λ2; elliptic; f(z; groups; hypothesis; l2(z; lemma; multiple; n(z)dz; nontrivial; point; problem; proof; proposition; ravi; resonance; robinson; rumbos; semilinear; solutions; theorem; xn(z; z f(z; ‖xn‖; ∣ ∣; ∣ ≤
- versions: original; plain text
- cubo-1498
- author: Ichigi, Ippei; Shimomura, Katsumi
- title: The Modulo Two Homotopy Groups of the 𝐿₂-Localization of the Ravenel Spectrum
- date: 2008-10-01
- words: 5498
- flesch: 88
- summary: → T (m), where ṽ1 : Σ 8T (m) → T (m) is the composite ṽ1 : Σ 8 T (m) = S8 ∧ T (m) T (m) ∧ T (m)wv1∧T (m) Then, d(w) = 0 in the cobar complex ˜Ω 3 Σm(2) Em(2)∗/(2), and we see that s⊗4 1 cobounds s2 3 ⊗ s1 ⊗ s1 + v1w 2 ⊗ s2 + (r1 ⊗ s1 + s1 ⊗ r1 + v1r1 ⊗ r1) ⊗ s2 (in which we set v2 = 1).
- keywords: adams; cofiber; cubo; denote; element; groups; homotopy; ichigi; km−1(2)∗[u; l2vm(1; lemma; map; math; mod; modulo; novikov; permanent; proof; proposition; ravenel; ring; sequence; shimomura; spectral; spectrum; term; theorem; vm(0; vm(1; σm(2
- versions: original; plain text
- cubo-1499
- author: Kaji, Shunsuke
- title: The Extension of the Formula by Dupire
- date: 2008-10-01
- words: 2410
- flesch: 90
- summary: Finally, we compute from (2) that the right-hand side of (4) is = ∫ ∞ 0 e −rT E[(XxT − K) 2 x2 ∂2u ∂x2 + (r − δ)x ∂u ∂x − ru = 0, (t,x) ∈ [0,T ) × (0,∞); u(t,x,T,K)|t=T = (x − K)
- keywords: 0,∞; a(t; c(i1×i2; c(x; cubo; dupire; e−rt; hand; price; |z|≥1; φh(t; ϕ(t; ∂2ϕ; ∂k2
- versions: original; plain text
- cubo-1500
- author: Matsuo, Miki; Nishimura, Kazuo; Sakagami, Tomoya; Venditti, Alain
- title: Equilibrium Cycles in a Two-Sector Economy with Sector Specific Externality
- date: 2008-10-01
- words: 5985
- flesch: 76
- summary: [ [ β 1 K −ρ yt + β2L −ρ yt + et ]− 1 ρ − kt+1 ] + rt (kt − Kct − Kyt) In the equilibrium the equation (2) is rewritten as Lyt = ( y −ρ t − (β1 + b) K −ρ yt β 2 − b )− 1 ρ .
- keywords: 1+ρ; = −; b β; capital; cubo; cycles; economy; equation; equilibrium; following; good; indeterminacy; kt+1; kyt; lct; local; lyt; perspective; proposition; sector; state; steady; α1β2; α2β1
- versions: original; plain text
- cubo-1501
- author: Brito, Francisco
- title: Many-Ended Complete Minimal Surfaces Between Two Parallel Planes in ℝ³
- date: 2008-10-01
- words: 3144
- flesch: 77
- summary: Meanwhile N.Nadirashvili proved in [4] the existence of bounded complete minimal surfaces in R3. Another way for rendering complete minimal surfaces between two parallel planes in R3 was developed in [1].
- keywords: complete; cubo; exp; functions; holomorphic; lemma; minimal; parallel; planes; points; proof; series; surfaces; theorem
- versions: original; plain text
- cubo-1502
- author: Ferreira de Lima, Pedro; Toom, Andr´e
- title: Dualities Useful in Bond Percolation
- date: 2008-10-01
- words: 5403
- flesch: 75
- summary: Let (G, G′) be a dual pair of oriented finite graphs. Whitney [W.1932, W.1933] proved some state- ments about dual graphs.
- keywords: avoiding; closed; connected; contour; curve; direction; dual; duality; edges; facts; finite; good; graph; infinite; left; lemma; main; non; open; oriented; pair; path; percolation; plane; reachable; representation; self; theorem; type; vertex; vertices; ; ; ; ;
- versions: original; plain text
- cubo-1503
- author: Sudo, Takahiro
- title: The Flip Crossed Products of the 𝐶*-Algebras by Almost Commuting Isometries
- date: 2008-10-01
- words: 4866
- flesch: 91
- summary: Moreover, Kj((⊗ m+1 ε F) ⋊σ Z2) ∼= Kj((⊗ m+1F) ⋊σ Z2) for j = 0, 1. Proof. Z2 ∼= Eε ⋊αε∗β (N ∗ Z2), where N ∗ Z2 is the free product of N and Z2, and the action β on Eε is given by β(tn)
- keywords: action; continuous; crossed; cubo; c∗-algebra; emε; flip; isometries; isomorphic; k z2; product; theory; universal; z)p; ←−−−−; −−−−→; ∗σ⊗id; ⋊αε; ⋊ρ∧ε; ⋊σ z2;
- versions: original; plain text
- cubo-1504
- author: Gaiko, Valery A.
- title: Limit Cycles of Li´enard-Type Dynamical Systems
- date: 2008-10-01
- words: 9172
- flesch: 68
- summary: October 2008 Limit Cycles of Liénard-Type Dynamical Systems Valery A. Gaiko∗ Department of Mathematics, Belarusian State University of Informatics and Radioelectronics, L. Beda Str. 6-4, Minsk 220040 – Belarus email: valery.gaiko@yahoo.com ABSTRACT In this paper, using geometric properties of the field rotation parameters, we present a solution of Smale’s Thirteenth Problem on the maximum number of limit cycles for Liénard’s polynomial system, generalize the obtained results for special classes of polynomial systems, and complete the global qualitative analysis of a piecewise linear dynamical system approximating a Liénard-type polynomial system with an arbitrary number of finite singularities. 116 Valery A. Gaiko CUBO 10, 3 (2008) Key words and phrases: Planar polynomial dynamical system, Liénard’s polynomial system, generalized Liénard’s cubic system, piecewise linear Liénard-type dynamical system, Hilbert’s six- teenth problem, Smale’s thirteenth problem, field rotation parameter, bifurcation, limit cycle.
- keywords: bifurcations; case; cubo; curve; cycle; domain; dynamical; field; focus; gaiko; global; input; inside; liénard; limit; limit cycle; multiplicity; origin; parameters; point; polynomial; principle; problem; regions; rotation; saddle; semi; separatrix; singular; stable; stable limit; system; theorem; trajectories; type; unstable; values; vector; y =; µ2k+1
- versions: original; plain text
- cubo-1505
- author: Steuding, J¨orn
- title: The Fibonacci Zeta-Function is Hypertranscendental
- date: 2008-10-01
- words: 1392
- flesch: 64
- summary: In the case of Fibonacci numbers this is usually the correspond- ing Lambert series; however, in the recent past also the generating Dirichlet series was studied; this function is more interesting with respect to its analytic properties. References [1] C. Elsner, S. Shimomura and I. Shiokawa, Algebraic relations for reciprocal sums of Fibonacci numbers, Acta Arith., 130 (2007), 37–60.
- keywords: analytic; cubo; difference; differential; dirichlet; equation; fibonacci; function; hypertranscendence; integers; math; non; numbers; reich; series; theorem; zeta
- versions: original; plain text
- cubo-1506
- author: Lellis Thivagar, M.; Athisaya Ponmani, S.; Raja Rajeswari, R.; Ekici, Erdal
- title: On Some Bitopological 𝛾-Separation Axioms
- date: 2008-10-01
- words: 2865
- flesch: 82
- summary: A map f :(X, τ 1, τ 2) → (Y, σ1, σ2) is called (i, j)-γ-open if the image of each τ i- open set in X is (i, j)-γ-open in Y , i, j = 1, 2, i 6= j. Recall that a map f :(X, τ 1, τ 2) → (Y, σ1, σ2) is called (i, j)-pre-open if for each τ Definition 1 A subset A of X is called pre-open set [11] if A ⊂ int(cl(A)).
- keywords: definition; j)-γ; net; open; preopen; proof; sets; space; theorem
- versions: original; plain text
- cubo-1507
- author: Appleby, John A.D.; Gleeson, James P.; Rodkina, Alexandra
- title: Asymptotic Constancy and Stability in Nonautonomous Stochastic Differential Equations
- date: 2008-10-01
- words: 5100
- flesch: 86
- summary: = ∫ t 0 σ2(s) ds. Let T ∗ be given by T ∗ = ∫ ∞ 0 σ2(s) ds, (2.3) where we define T ∗ = ∞ if σ 6∈ L2([0, ∞); R). [0, T ∗), where T ∗ is defined as in (2.3), and define X(t) = X̃ ( ∫ t 0 σ2(s)ds ) , t ≥ 0.
- keywords: a.s; asymptotic; b̃(t; case; cubo; differential; equation; h(x̃(t; l(ξ; l2([0; lim; log; m〉(t; non; proposition; result; solution; stochastic; strong; sup; s̃0(ξ; theorem; time; v(x; x(t; x̃(s; σ2(s; ∗ −
- versions: original; plain text
- cubo-1508
- author: Blot, J.; Pennequin, D.; N’Gu´er´ekata, Gaston M.
- title: Existence and Uniqueness of Pseudo Almost Automorphic Solutions to Some Classes of Partial Evolution Equations
- date: 2008-10-01
- words: 3038
- flesch: 80
- summary: A continuous function f : R × X 7→ X is said to be almost automorphic in t ∈ R for each u ∈ X if every sequence of real numbers (σn)n∈N contains a subsequence (sn)n∈N such that g(t,u) := lim n7→∞ f(t + sn,u) is well defined for each t ∈ R and each u ∈ X and, f(t,u) = lim n7→∞ g(t − sn,u) exists for each t ∈ R and u ∈ X. 164 J. Blot et al. CUBO 10, 3 (2008) t ∈ R, (1.1) where the functions f(t,u) and g(t,u) are almost automorphic in t, for each u.
- keywords: automorphic; banach; bc(r; continuous; cubo; differential; equations; evolution; existence; e−ω(t−s)γ(t; f(t; functions; g(t; g.m; math; mild; n’guérékata; operator; paa(r; pseudo; solutions; space; u(t; uniqueness
- versions: original; plain text
- cubo-1509
- author: Chen, Yuqun; Shao, Hongshan; Shum, K.P.
- title: Rosso-Yamane Theorem on PBW Basis of 𝑈ԛ(𝐴ɴ)
- date: 2008-10-01
- words: 8724
- flesch: 98
- summary: On the other hand, the universal enveloping algebra U (L) = k〈X|xixj − xjxi − ∑ αkij xk, i > j, xi, xj , xk ∈ X〉 is the associative algebra presented by the same set X and the defining relations S(−) (we rewrite S using [xy] = xy − yx). [xilxmn − (q 2 − q−2)xinxml] +(q2 − q−2)2xkn[xilxmj − (q 2 − q−2)xij xml] ≡ 0.
- keywords: algebras; basis; bokut; case; chen; cubo; enveloping; g)w; gröbner; l.a; lie; pbw; q −2(q2; q(q; qxin; qxkj; q−2)xinxklxmj; q−2)xkj; q−2)xknxij; q−2)xknxmlxij; rosso; shirshov; similar; subcases; theorem; uq(an; xij; xil; xil]xmn; xkl −; xklxij; xklxmn; xklxmnxij; xml; xmn; xmnxij; xmnxkl; yamane; yuqun; − q−2)xknxml]xij; −(q2; −2(q2; −2xij
- versions: original; plain text
- cubo-1510
- author: Detomi, Eloisa; Lucchini, Andrea
- title: On the Structure of Primitive 𝓃-Sum Groups
- date: 2008-10-01
- words: 8430
- flesch: 83
- summary: As N = X is a homomorphic image of G, we get G = N . [4] M. Aschbacher and R. Guralnick, On abelian quotients of primitive groups, Proc.
- keywords: abelian; assume; chief; contradiction; corollary; cover; cubo; cyclic; degree; elements; equivalent; factor; finite; group; image; isomorphic; lemma; maximal; minimal; monolithic; non; normal; odd; order; prime; primitive; product; proof; proper; proposition; set; simple; soc(g; soc(xi; solvable; subgroup; theorem; σ(g
- versions: original; plain text
- cubo-1511
- author: Vukman, Joso; Kosi-Ulbl, Irena
- title: On Two-Sided Centralizers of Rings and Algebras
- date: 2008-10-01
- words: 4872
- flesch: 82
- summary: = P T (P )P, which gives T (P )P = P T (P ). T (A) − ( nm nm ) T (A) P − ( nm nm−1 ) BA− ( m m−1 )( (n−1)m (n−1)m ) AB − ( m m )( (n−1)m (n−1)m ) P T (A)P − ( m m )( (n−1)m (n−1)m−1 ) BA − · · · − ( m m )( (n−1)m (n−1)m−1 ) AB − ( m m )( (n−1)m (n−1)m ) P T (A)P − ( m m−1 )( (n−1)m (n−1)m ) BA− ( nm nm−1 ) AB − ( nm nm ) P T (A) = 0.
- keywords: a(x; additive; algebras; banach; case; centralizers; cubo; element; form; kosi; left; mapping; math; n−1)m; p t; proof; relation; right; ring; semiprime; semisimple; sided; theorem; theory; ulbl; vukman
- versions: original; plain text
- cubo-1512
- author: Cardoso, F.; Vodev, G.
- title: Semi-Classical Dispersive Estimates for the Wave and Schr¨odinger Equations with a Potential in Dimensions 𝓃 ≥ 4
- date: 2008-07-01
- words: 5200
- flesch: 85
- summary: ≤ k ≤ (n − 3)/2 such that the operators ≤ k ≤ (n − 3)/2 such that the operators Fj satisfy the estimate ‖Fj (t,
- keywords: cardoso; case; cjh; classical; cubo; dispersive; equation; estimates; group; h)dτ; h)v; h)‖l1→l∞; l1→l2; l1→l∞; operators; potentials; proof; satisfying; schrödinger; semi; theorem; vodev; wave; ∥∥∥
- versions: original; plain text
- cubo-1513
- author: Belishev, M.I.
- title: Dynamical Inverse Problem for the Equation 𝒰ᵼᵼ − Δ𝒰 − ∇ln𝜌 · ∇𝒰 = 0 (the BC Method)
- date: 2008-07-01
- words: 6325
- flesch: 77
- summary: [T − ξ, T ], so that fξ is an element of the subspace F T, ξ . − 1 2 f (γ, T − ξ) θ1 (t − (T − ξ) − τ ) + w(x, t) θ2 (t − (T − ξ) − τ ) , (13) where x = x(γ, τ ) in the l.h.s. and w is a smooth function.
- keywords: amplitude; belishev; boundary; control; cubo; density; dynamical; equation; f t; f ξ; form; function; inverse; jump; k=1; m.i; method; operator; problem; r2 t; relation; response; subdomain; surface; system; t t; t σ; time; tube; u ξ; velocity; w t; wave; x(γ; ξ k; ρ0(γ; ρdx; ∣∣∣∣
- versions: original; plain text
- cubo-1514
- author: Ikehata, Masaru
- title: A Remark on the Enclosure Method for a Body with an Unknown Homogeneous Background Conductivity
- date: 2008-07-01
- words: 5370
- flesch: 79
- summary: However, integration by parts yields ∫ ∂Ω γ ∂u ∂ν vds = γ ∫ ∂Ω u ∂v ∂ν ds − γ ∫ ∂D u ∂v ∂ν ds (2.1) and we have already studied the asymptotic behaviour of the second term as described in Intro- duction (see (1.2)). Then Cm(f ) = 0 for m ≥ N + 2 and from (2.4) and (2.9) we obtain ∫ ∂Ω uv(ν1 − iν2)ds = 2πab ( 1 2πz )1/2 eize−iπ/4 × {( 1 + 1 8iz )
- keywords: background; band; body; boundary; case; cm(f; condition; conductivity; cos; cubo; data; domain; enclosure; formula; fourier; function; hd(ω; ikehata; inverse; iω2; limited; m=1; method; problem; remark; satisfies; set; sin; solution; unknown; valid; ∣∣∣∣
- versions: original; plain text
- cubo-1515
- author: Sushch, Volodymyr
- title: Green Function for a Two-Dimensional Discrete Laplace-Beltrami Operator
- date: 2008-07-01
- words: 4824
- flesch: 82
- summary: and k 6= m, s = n. Check the case k = m, s > n. The proof for the case k = m, s < n (or k 6= m, s = n) is similar.
- keywords: analog; basis; c(2; case; complex; cubo; differential; dimensional; discrete; elements; equation; following; forms; function; g(x; green; k(2; laplacian; math; n k; operator; proof; set; sushch; µ)ϕ; τ s
- versions: original; plain text
- cubo-1516
- author: Ezzinbi, Khalil; Nelson, Valerie; N’Gu´er´ekata, Gaston
- title: 𝐶⁽ⁿ⁾-Almost Automorphic Solutions of Some Nonautonomous Differential Equations
- date: 2008-07-01
- words: 4659
- flesch: 81
- summary: f (t), t ∈ R where the oper- ator A generates a quasi-compact semigroup in a Banach space, and in both cases f is C(n)-almost automorphic. f (t), t ∈ R, A(t) es τ
- keywords: aa(n)(x; automorphic; banach; bc(r; c(n)-almost; compact; continuous; cubo; definition; differential; equations; ezzinbi; following; function; gaston; khalil; lim; linear; math; nelson; norm; n’guérékata; operator; periodic; proof; proposition; result; semigroup; set; solution; space; spu(f; theorem; uniform; valerie
- versions: original; plain text
- cubo-1517
- author: Sudo, Takahiro
- title: Spectral Rank for 𝐶*-Algebras
- date: 2008-07-01
- words: 2705
- flesch: 80
- summary: = n. Let C∗(Fn) be the full group C ∗ -algebra of the free group Fn with n generators. Nn with n generators, i.e.,
- keywords: c(t; cubo; c∗-algebra; dim; dimension; direct; generators; group; limit; product; proof; proposition; rank; spectral; spr(a; sudo; unital; universal
- versions: original; plain text
- cubo-1518
- author: Brackx, F.; De Schepper, H.
- title: The Hilbert Transform on a Smooth Closed Hypersurface
- date: 2008-07-01
- words: 8693
- flesch: 76
- summary: The so–called Kerzman–Stein operator, defined by A = 1 2 (H − H∗) measures the ”non–selfadjointness” of the Hilbert transform. = P⊥[E(x − ζ)].
- keywords: = −; analysis; boundary; brackx; c −; c(ζ; c[u](x; cauchy; clifford; cubo; d −; decomposition; dimensional; dirac; direct; dσζ; e(ζ; extension; f(x; follows; function; h2(ω; hardy; harmonic; hilbert; h∗[h; iii; integral; kernel; l2(∂ω; left; lim; means; monogenic; n(x; operator; orthogonal; p[f; particular; projections; proof; properties; proposition; r0,m; related; s(ζ; schepper; similar; singular; space; sum; szegö; theory; transform; u(ζ; u(ξ; unit; value; vector; ν(ζ; − −; − −→
- versions: original; plain text
- cubo-1520
- author: Leit˜ao, A.; Zubelli, J.P.
- title: Iterative Regularization Methods for a Discrete Inverse Problem in MRI
- date: 2008-07-01
- words: 3612
- flesch: 67
- summary: It is worth noticing that the local tangential cone condition is a standard assumption in the convergence analysis of adjoint type methods (Landweber, steepest descent, Levenberg-Marquardt, asymptotical regularization) for nonlinear inverse problems [3, 4, 6, 9, 10, 11, 13]. Pura e Aplicada, Estrada Dona Castorina 110, 22460-320, Rio de Janeiro – Brasil email: zubelli@impa.br ABSTRACT We propose and investigate efficient numerical methods for inverse problems related to Magnetic Resonance Imaging (MRI).
- keywords: analysis; assumption; convergence; cubo; data; discrete; ill; image; imaging; inverse; iteration; iterative; kaczmarz; kernels; leitão; llk; lsdk; magnetic; methods; mri; nonlinear; operators; problem; regularization; results; rnum; satisfied; sensitivity; zubelli; δ k
- versions: original; plain text
- cubo-1521
- author: Hua, Xinhou; Vaillancourt, R´emi
- title: Prime Factorization of Entire Functions
- date: 2008-03-01
- words: 2807
- flesch: 81
- summary: ≤ 1. Lemma 4 ([16]) Let f (z) and g(z) be prime entire functions. [5] F. Gross, C. C. Yang, Further results on prime entire functions, Trans.
- keywords: case; complex; cubo; entire; example; factorizable; factorization; functions; g(z; h(z; hua; lemma; linear; math; meromorphic; nonconstant; number; prime; theorem; transcendental; yang
- versions: original; plain text
- cubo-1522
- author: Ujevi´c, Nenad
- title: Error Inequalities for a Taylor-like Formula
- date: 2008-03-01
- words: 2332
- flesch: 93
- summary: [a, x] then |f (x) − F (x, a)| ≤ (Γn − Tn) (n + 1)(x − a)n+1 4nn! . = (t − 3a+x 4 ) n−1 n!
- keywords: a)n+1; formula; function; n+1; t)dt; taylor; ∣ ∣
- versions: original; plain text
- cubo-1523
- author: Yano, Syouji
- title: On the Index of Clifford Algebras of Quadratic Forms
- date: 2008-03-01
- words: 5693
- flesch: 84
- summary: In a similar fashion, if q is a quadratic form with discriminant algebra Z 6≃ F × F and ν(qZ) If q is a quadratic form with discriminant algebra Z 6≃ F × F and ν(qZ)
- keywords: 0,q; algebra; arf; c(q; case; ch(f; clifford; cubo; dimensional; dimensional quadratic; dimf; discriminant; field; form; gp2(f; indc(q; index; invariant; m2(d4; norm; quadratic; quadratic form; space; table; theorem; trivial
- versions: original; plain text
- cubo-1524
- author: Palanichetty, G.; Balasubramanian, G.
- title: On Some What Fuzzy Faintly Semicontinuous Functions
- date: 2008-03-01
- words: 4311
- flesch: 89
- summary: 34 G. Palanichetty and G. Balasubramanian CUBO 10, 1 (2008) 1 Introduction The concept of fuzzy sets was introduced by Zadeh Based on the concept of fuzzy sets, C.L.Chang
- keywords: functions; fuzzy; proof; proposition; semicontinuous; semidense; semiopen; set; spaces; topological; −1(λ
- versions: original; plain text
- cubo-1525
- author: Seenivasan, V.; Balasubramanian, G.; Thangaraj, G.
- title: Somewhat Fuzzy Semi 𝛼-Irresolute Functions
- date: 2008-03-01
- words: 4364
- flesch: 91
- summary: [7]: A function f from a fuzzy topological space (X, T ) to a fuzzy topological space (Y , S) is said to be fuzzy semi α-irresolute if f −1(λ) is fuzzy semi-open set in (X, T ) for each fuzzy α-open set λ in (Y , S). λ is called fuzzy α-open set [2] if λ ≤ int cl intλ 2. λ is called fuzzy semi-open set
- keywords: functions; fuzzy; fuzzy semi; fuzzy α; irresolute; let; open; open set; semi; set; −1(λ
- versions: original; plain text
- cubo-1526
- author: Bounkhel, Messaoud
- title: Arc-wise Essentially Tangentially Regular Set-valued Mappings and their Applications to Nonconvex Sweeping Process
- date: 2008-03-01
- words: 9172
- flesch: 87
- summary: We will say that C is arc-wise essentially tangentially regular and we will write C ∈ AWET R(I,X), if for each x ∈ AC(I,X), the set {t ∈ I : x(t) Indeed, for any x ∈ AC(I,X) we can easily check that µ ( {t ∈
- keywords: a.e; arc; banach; bounkhel; c(t; c(t0; class; closed; concept; continuous; cubo; differentiable; direction; example; exist; existence; f(t; fn(t; following; function; kc(t)(x(t; lim; lipschitz; mapping; math; messaoud; nonconvex; process; proof; proposition; recall; regular; resp; s.d; set; sets; smooth; space; sweeping; t n; tc(t)(x(t; theorem; values; vol; wise; x(0; x(t; x(t0
- versions: original; plain text
- cubo-1527
- author: Fattorini, H. O.
- title: Regular and Strongly Regular Time and Norm Optimal Controls
- date: 2008-03-01
- words: 5466
- flesch: 81
- summary: ≤ t ≤ T, whereas a merely regular control may “oscillate” at the endpoint T of the control interval. ≤ t ≤ T equipped with the norm ‖z‖Z∞(T )
- keywords: banach; conditions; continuous; control; cubo; d(a; dense; equivalent; fattorini; implies; interval; lemma; linear; maximum; norm; optimal; principle; proof; regular; reversible; rp(t; r∞(t; s(t; satisfies; semigroup; space; theorem; time; ū(t; y(t; σ)u(σ)dσ
- versions: original; plain text
- cubo-1528
- author: Yurko, Vjacheslav A.
- title: Recovering Higher-order Differential Operators on Star-type Graphs from Spectra
- date: 2008-03-01
- words: 3260
- flesch: 77
- summary: 95 Fix s = 1,p − 1, k = 1,n − 1, µ = k,n. Let Λskµ := {λlskµ}l≥1 be the set of the eigen- values of the boundary value problem Lskµ for equation (1) with the boundary conditions y (ν−1) s (0) = 0, = ∆skµ(λ) ∆sk(λ) , s = 1,p − 1, k = 1,n − 1, µ = k + 1,n, (11) where ∆skµ(λ) := ∆sksµ(λ), ∆sk(λ) := ∆skk(λ).
- keywords: 1,n; 1,p; boundary; conditions; cubo; differential; edge; equation; functions; inverse; matrix; operators; order; potential; problem; solution; spectra; system; type; weyl; ν−1
- versions: original; plain text
- cubo-1529
- author: Sudo, Takahiro
- title: Continuous or Discontinuous Deformations of C*-Algebras
- date: 2008-03-01
- words: 5885
- flesch: 69
- summary: We find that it is easy to have degenerate continuous deformations of C ∗ -algebras, some of which are useful to provide some examples with non-Hausdorff spectrums, and it is not easy to construct nondegenerate continuous deformations of C ∗ -algebras. Continuous deformations of C ∗ -algebras are in a particular case of continuous fields of C ∗ -algebras in the sense that their base spaces are the closed interval [0, 1] and the fibers on the half open interval (0, 1] are the same (cf.
- keywords: -algebras; action; at}t∈[0,1; c ∗; c(t; c0(r; continuous; continuous deformation; crossed; cubo; c∗-algebra; deformation; discontinuous; example; field; group; isometries; nondegenerate; operator; product; proof; proper; theorem; trivial; unital; unitary; γ([0
- versions: original; plain text
- cubo-1530
- author: Anastassiou, George A.
- title: Converse Fractional Opial Inequalities for Several Functions
- date: 2008-03-01
- words: 7990
- flesch: 99
- summary: Here x, x0 ∈ [a, b] : x ≥ x0. (x − x0)
- keywords: j=1 ∣; v x0; w x0; x0 fj; x0 p; x0 q; γ1 x0; λv p; ∣ =; ∣ p; ∣ λv; ∣ λα; ∣ λα+1; ∣ λα+λv; ∣ ∣
- versions: original; plain text
- cubo-1531
- author: Anastassiou, George A.
- title: Fuzzy Taylor Formulae
- date: 2005-12-01
- words: 4310
- flesch: 97
- summary: = n∑∗ i=1 (zi − x0i) � d dt ( ∂f (x1, . . . , xn) ∂xi ) = n∑∗ i=1 (zi − x0i) � n∑∗ j=1 ∂2f (x1, . . .
- keywords: anastassiou; continuous; formula; function; fuzzy; george; i=1; lemma; n−1; taylor; theorem; x01; x0i; ∂xi
- versions: original; plain text
- cubo-1532
- author: Corduneanu, Constantin
- title: Some special classes of neutral functional differential equations
- date: 2005-12-01
- words: 4174
- flesch: 79
- summary: Class.: 34K40 1 Introduction In several recent papers of the author [3], [4], [5], as well as in some joint papers with M. Mahdavi [7], [8], certain types of neutral functional equations (including functional–differential ones) have been investigated in regard to the existence of so- 16 Constantin Corduneanu 7, 3(2005) lutions. The literature on neutral functional equations is very rich, and a good amount of references can be found in our book [6].
- keywords: c([0; causal; condition; continuous; corduneanu; differential; equation; existence; following; form; functional; g(t; hand; initial; irn; local; neutral; operator; problem; right; solution; sup; theorem; x(t; y(s)ds; y(t
- versions: original; plain text
- cubo-1533
- author: Fattorini, H. O.
- title: Sufficiency of the maximum principle for time optimality
- date: 2005-12-01
- words: 3239
- flesch: 85
- summary: T−δ 0 S(T − δ − σ)u(σ)dσ = ȳ − S(T )ζ . T−δ 0 S(T − δ − σ)u(σ)dσ = ȳ − S(T )ζ , thus v(t) drives from ζ to ȳ in time T.
- keywords: condition; control; cos; d(a; drives; fattorini; maximum; norm; optimal; optimality; principle; s(t; sin; space; sufficiency; t)∗z; time; ū(t; y(t; σ)u(σ)dσ; σ)∗z
- versions: original; plain text
- cubo-1534
- author: Ganikhodjaev, Nasir; Temir, Seyit; Akin, Hasan
- title: The exact solution of the Potts models with external magnetic field on the Cayley tree
- date: 2005-12-01
- words: 3489
- flesch: 83
- summary: Key words and phrases: Cayley tree, Potts model, Competing interactions, External magnetic field. Theorem 1 For Potts model (1) with null external field, a phase transition occurs when, θ > k + 2q
- keywords: akin; case; cayley; equation; exact; exp; external; field; following; interactions; j=1; level; magnetic; model; neighbors; n−1; phase; potts; solution; system; transformation; tree; δσ(x)σ(y
- versions: original; plain text
- cubo-1535
- author: Blackmore, Denis L.; Prykarpatsky, Yarema A.; Samoilenko, Anatoliy M.; Prykarpatsky, Anatoliy K.
- title: The ergodic measures related with nonautonomous hamiltonian systems and their homology structure. Part 1
- date: 2005-12-01
- words: 6722
- flesch: 69
- summary: S is any continuous arc joining these two chosen points x̃, ỹ ∈ Lt0 (H) × S, and ã (1) j ∈ H 1(Lt0 (H); R) are the corresponding liftings to Lt0 (H) of 1-forms a(1)j ∈ H 1(Lt0 (H); R), j = 1,r. ∈ Mt0 (H).
- keywords: 1,m; a(1; a(τ; class; compact; convex; corresponding; curves; domain; equality; ergodic; field; floer; flow; following; form; function; h1(lt0; hamiltonian; homology; hyperbolic; invariant; lagrangian; lim; lnt0; m2n; manifolds; mather; measure; metric; mt0; neighborhood; nonautonomous; points; properties; pt0; related; respect; results; satisfies; set; space; structure; submanifold; supp; symplectic; systems; t(lt0; theorem; theory; type; zt0; µ̄j; α(1; γt0; ρt0; σt0
- versions: original; plain text
- cubo-1536
- author: Sun, Ziqi
- title: Conjectures in Inverse Boundary Value Problems for Quasilinear Elliptic Equations
- date: 2005-12-01
- words: 3486
- flesch: 68
- summary: Key words and phrases: Inverse boundary value problem. [I1] V. Isakov, On uniqueness in inverse problems for semilinear parabolic equa- tions, Arch.
- keywords: a(x; anisotropic; boundary; c3,α(γ; case; coefficient; conformal; conjecture; diffeomorphisms; dimensional; directions; elliptic; equations; family; independent; information; inverse; math; matrix; nonlinear; problem; proof; quasilinear; solution; sun; suu1; system; uhlmann; uniqueness; value; vector
- versions: original; plain text
- cubo-1537
- author: Matsutani, Shigeki
- title: Relations of al Functions over Subvarieties in a Hyperelliptic Jacobian
- date: 2005-12-01
- words: 3173
- flesch: 77
- summary: 2 + f′(am+1)(al (m) r (v (m)))2(al(m)s (v (m)))2(ar − as) (am+1 − ar)(am+1 − as)(al (m) m+1(v (m)))4(Q(2)′m (am+1))2 + · · · · · · + f′(ag)(al (m) r (v (m)))2(al(m)s (v (m)))2(ar − as) (ag − ar)(ag − as)(al(m)g (v(m)))4(Q (2) m (ag)′)2 . From (2.7), we will consider the following formula instead of (3.1) without loss of generality, ∂ ∂v (m) 1 ∂ ∂v (m) 2 log Fm(a1) Fm(a2) = 2 Fm(a1)Fm(a2) (a1 − a2) ( f′(a1) Fm(a1)2(Q (2) m (a1))2 + f′(a2) Fm(a2)2(Q (2) m (a1))2 + f′(am+1)(a1 − a2)2 (am+1 − a1)(am+1 − a2)Fm(am+1)2(Q (2)′ m (am+1))2 + · · · + f′(ag)(a1 − a2)2 (ag − a1)(ag − a2)Fm(ag)2(Q (2)′ m (ag))2 ) .
- keywords: al(m)r; article; ba2; complex; corollary; curve; equation; functions; gordon; hyperelliptic; jacobian; log; math; matsutani; proof; q(2)m; relations; shigeki; sine; subvarieties; subvariety; theorem; weierstrass
- versions: original; plain text
- cubo-1538
- author: Buong, Nguyen
- title: Convergence rates in regularization for ill-posed variational inequalities
- date: 2005-12-01
- words: 2495
- flesch: 80
- summary: 〈U (xτα(δ,h) − x 0) − U (x0 − x0), xτα(δ,h) − x0〉 ≤ (δ + hg(‖xα(δ,h)‖))‖xα(δ,h) − x0‖ +α(δ, h)〈U (x0 − x0), x0 − xτα(δ,h)〉. + αnU (x τn αn − x0)
- keywords: banach; convergence; inequalities; lemma; mat; method; monotone; operator; principle; property; rates; regularization; solution; space; variational; xτα; α(δ
- versions: original; plain text
- cubo-1539
- author: Cordovil, Raúl; Forge, David
- title: Gr¨obner and diagonal bases in Orlik-Solomon type algebras
- date: 2005-08-01
- words: 8365
- flesch: 82
- summary: J �∈ NBC�(M)] a contradiction. ∈ S�, the equality Flag (Jτ ) = Flag (IσI ) implies J = I. Theorem 4.8 Suppose that I� is a diagonal basis of A�.
- keywords: a(m; algebra; arrangement; aχ(m; basis; broken; circuit; clear; cordovil; corresponding; david; definition; diagonal; different; element; flag; following; forge; gröbner; gröbner basis; hyperplanes; i]a; ideal; iff; ind(m; independent; m([n; m(ak; math; matroid; minimal; monomials; nbc; nbc(m; note; order; oriented; orlik; permutation; piσ; proof; proposition; raul; reduced; remark; residue; resp; respect; set; sets; sgn; solomon; space; t(a; terao; term; theorem; type; vector; χ(m; −1)pχ(u; � =
- versions: original; plain text
- cubo-1540
- author: Mahmudov, E. N.; C¸i¸cek, G.
- title: Optimization of differential inclusions of Bolza type with state constraints and duality
- date: 2005-08-01
- words: 5647
- flesch: 82
- summary: Conversely, if we have the last inclusion then z0 ∈ z + KM (z) or there are such z1 ∈ M and a number γ > 0, that z0 − z = γ(z1 − z) ∈ KM (z). In other words, there exists a vector z̄1(z̄1 �= 0) such that < z∗1, z̄1 >< 0, z̄1 ∈ KM (z), ∀z ∈ M or < z∗1, z̄1 >< 0, z̄1 ∈ ⋂ z∈M KM (z), i.e. z ∗ 1 �∈ ( ⋂ z∈M KM (z))
- keywords: admissible; a∗(y∗; closed; condition; cone; conjugate; continuous; control; convex; definition; differential; dual; following; function; gfa; inclusions; inf; k∗m; lemma; mahmudov; mapping; optimal; optimization; point; problem; proof; relation; set; sup; t1 t0; theorem; trajectory; wa(x; x̃(t; z∈m
- versions: original; plain text
- cubo-1541
- author: Ammar, Boukhemis
- title: On the classical 2−orthogonal polynomials sequences of Sheffer-Meixner type
- date: 2005-08-01
- words: 4820
- flesch: 83
- summary: + 1 = Pn+1(x + ω) −Pn+1(x) (n + 1)ω , n ≥ 0 (3.2) and {F̃n}n≥0 the dual sequence associated to the sequence {Qωn}n≥0, then we have ∇ωF̃n=Δ−ωF̃n = −(n + 1)Fn+1; [∫ r(x)dx ] , then equation (5.11) may be written (x + k)2 d2W(x) dx2 − σ2 α2
- keywords: ammar; boukhemis; case; classical; deg; d−orthogonal; equation; following; functional; integral; lim; math; meixner; monic; pn}n≥0; polynomials; proof; properties; relation; representation; respect; sequences; sheffer; theorem; type; x−σ0
- versions: original; plain text
- cubo-1542
- author: Spr¨ossig, Wolfgang
- title: Quaternionic analysis and Maxwell’s equations
- date: 2005-08-01
- words: 2829
- flesch: 72
- summary: Key words and phrases: Maxwell equations, quaternionic analysis, operator calculus. Math. ∈ Ω− = IR3 \G .
- keywords: 1+βiν; analysis; borel; boundary; calculus; chiral; conditions; domain; ek+1; equations; field; formula; functions; gürlebeck; ih(c; ir3; iν)g̃k+1; kravchenko; lνμ0jk; maxwell; medium; operator; pompeiu; quaternionic; representation; sprössig; teodorescu; time; trγt−iνfiν; value; vol; wolfgang; yukawa; ν2ek; −dfk; −ek; −lνdhk
- versions: original; plain text
- cubo-1543
- author: Blesgen, Thomas
- title: Two-Phase Structures as Singular Limit of a one-dimensional Discrete Model
- date: 2005-08-01
- words: 3767
- flesch: 77
- summary: W n(un) := { +∞ if uni+1 = uni for some i,∑3 k=1 W n k (u n) else where W n1 (u n) := n−2∑ i=0 nα 3∏ k=1 ∣∣∣sk − u n i+2 −uni+1 uni+1 −uni ∣∣∣2, W n2 (u n) := n−3∑ i=0 ∣∣∣1 − uni+3 −uni+2 uni+1 −uni ∣∣∣2, W n3 (u n) : The concept behind the ansatz for W n is the following.
- keywords: 2hn; boundedness; case; convergence; dimensional; discrete; energy; functional; h1,2(ω; hsn; ihn; l2(ω; large; lattice; limit; n(un; o(1; phase; sequence; singular; structures; uni+1; w(u; βni; ϕn(ihn; −uni; ∣∣∣1; ∣∣∣2
- versions: original; plain text
- cubo-1544
- author: Liu, Dongsheng
- title: A note on discrete monotonic dynamical systems
- date: 2005-08-01
- words: 2192
- flesch: 89
- summary: A note on discrete monotonic dynamical systems Dongsheng Liu 1 Department of Applied Mathematics, Nanjing University of Science & Technology Nanjing, 210094, Jiangsu, Peoples R China d.liu@lancaster.ac.uk ABSTRACT We give a upper bound of Lebesgue measure V (S(f, h, Ω)) of the set S(f, h, Ω) of points q ∈ Qdh for which the triple (h, q, Ω) is dynamically robust when f is monotonic and satisfies certain condition on some compact subset Ω ∈ Rd. RESUMEN Damos una cota superior de la medida de Lebesgue V (S(f, h, Ω)) del conjunto S(f, h, Ω) de puntos q ∈ Qdh para los cuales el tŕıo (h, q, Ω) es dinámicamente robusto cuando f es monótona y satisface ciertas condiciones en algunos subcon- juntos compactos Ω ∈ Rd.
- keywords: compact; f(x; following; k(h; monotonic; q(x; qdh; s(f; set
- versions: original; plain text
- cubo-1545
- author: Sedaghat, Hassan
- title: Global Attractivity, Oscillations and Chaos in A Class of Nonlinear, Second Order Difference Equations
- date: 2005-08-01
- words: 8501
- flesch: 77
- summary: − xn = f (xn − xn−1) (7) From this it is evident that the standard vectorization of (7) is semiconjugate to the real factor f relative to the link map H(x, y) . − f (s)| ≤ a|t
- keywords: absorbing; attractivity; behavior; case; chaos; conditions; converges; corollary; cycle; difference; equation; equilibrium; fact; figure; fixed; following; function; global; goodwin; hassan; increasing; interval; investment; lemma; models; non; nonlinear; order; origin; oscillations; period; periodic; persistent; point; positive; problem; proof; puu; result; section; sedaghat; sequence; solution; stable; theorem; unique; xn−1; x̄j
- versions: original; plain text
- cubo-1546
- author: Moskowitz, Martin
- title: Symmetric Spaces of Noncompact type
- date: 2005-08-01
- words: 14320
- flesch: 81
- summary: As we saw earlier, this is {p2; p ∈ P}. For a point p ∈ P and x = log p, since dp(x,y) ≤
- keywords: abelian; action; adjoint; adk0; adx; algebraic; analytic; cartan; case; commute; compact; complex; conjugate; connected; corollary; decomposition; definite; definition; det; diagonal; diffeomorphic; dim; eigenvalues; euclidean; exp; exp(−x/2; f(c; fact; finite; following; follows; form; function; g(h+; general; geodesic; geometry; gl(n; group; hermitian; homogeneous; hyperbolic; isometries; isometry; let; lie; linear; log; manifold; map; martin; matrices; maximal; means; moskowitz; noncompact; o(n; p(t; particular; point; positive; product; proof; proposition; reader; real; result; riemannian; self; semisimple; set; sinh; so(n; space; subalgebra; subgroup; symmetric; theorem; type; u(n; unique; x(t
- versions: original; plain text
- cubo-1547
- author: Brackx, F.; Delanghe, R.; Sommen, F.
- title: Differential Forms and/or Multi-vector Functions
- date: 2005-08-01
- words: 9440
- flesch: 75
- summary: [∂ Fr]r+1 eM = (∂ + Fr) eM and also ∂+ Gm+1−r = ∂ ∧ Gm+1−r = [∂ Gm+1−r]m+2−r = [∂ Fr ]r−1 eM = (∂− Fr) eM. 162 F. Brackx, R. Delanghe and F. Sommen 7, 2(2005) = −D̃D = d∗d−dd∗ = ̃ ∂∂̃ = −∂̃∂ = ∂−∂+ −∂+∂− = ̃ 7, 2(2005) Differential Forms and/or Multi-vector Functions 153 defined by Eωr = m∑ j=0 xj ∂xj ω r = ∑ |A|=r dxA m∑ j=0 xj ∂xj ω r A and EFr = m∑ j=0 xj ∂xj Fr = ∑ |A|=r eA m∑ j=0 xj ∂xj Fr,A is a scalar operator, measuring the degree of homogenicity of a function, and not af- fecting the order of a differential form or a multi-vector function.
- keywords: = ∑; action; algebra; analysis; ar+1; basis; brackx; br−1; clifford; closed; contractible; corollary; delanghe; derivative; differential; differential forms; dirac; dual; dxi; dxj; er(ω; euler; following; follows; forms; fr+1; functions; fundamental; harmonic; iii; ker; lemma; l−1e; mathematical; monogenic; multi; open; operator; poincaré; point; product; proof; r ker; r0,m+1; real; region; rm+1; r−1; section; smooth; sommen; space; vector; |a|=r; ωrk; ∂xj; ∂xk; ∂−∂+; � =
- versions: original; plain text
- cubo-1548
- author: Raikov, Georgi
- title: Spectral Shift Function for Schr¨odinger Operators in Constant Magnetic Fields
- date: 2005-08-01
- words: 11588
- flesch: 81
- summary: If, moreover, V satisfies (1.2), then 0 ≤ W(X⊥) ≤ C′0〈X⊥〉−m0+1, X⊥ ∈ R2, with C′0 = C0 ∫ R 〈x〉−m0dx. = u0(X⊥/|X⊥|)|X⊥|−α(1 + o(1)), |X⊥|→∞, |∇U(X⊥)| ≤ C1〈X⊥〉−α−1, X⊥ ∈ R2, where α > 0, and u0 is a continuous function on S1 which is non-negative and does not vanish identically.
- keywords: 0,∞; 2bq; = ∫; adjoint; arctan; assumptions; asymptotics; behaviour; case; class; compact; constant; continuous; corollary; definite; discrete; eigenvalues; electric; energy; estimates; field; formula; function; general; georgi; high; hold; h±,h0; iii; inf; integral; kernel; l2(r3; landau; lemma; levels; lim; magnetic; main; math; non; n±(1; n±(s; o(1; operator; order; pair; perturbations; potential; proof; proposition; pushnitski; q ∈; raikov; results; satisfies; scattering; self; set; shift; sign; singularities; spectral; spectrum; ssf; strong; subsection; theorem; theory; tq(2bq; tq(e; type; weyl; x⊥ ∈; x⊥,x3; ξ(2bq; ξ(e; ξ(λ; τ(x⊥; φ±λ
- versions: original; plain text
- cubo-1549
- author: Bultheel, A.; Mart´ınez, H.
- title: An introduction to the Fractional Fourier Transform and friends
- date: 2005-08-01
- words: 8490
- flesch: 71
- summary: An introduction to the Fractional Fourier Transform and friends 209 6 Windowed transform, wavelets and chirplets The short time Fourier transform or windowed Fourier transform (WFT) is defined as (Fwf)(x,ξ) = 1√ 2π ∫ ∞ −∞ f(t)w(t−x)e−iξtdt where w is a window function. Relations with the windowed or short time Fourier transform, with wavelets and chirplets can be found in Section 6.
- keywords: analysis; approach; bultheel; canonical; case; chirp; chirplet; classical; clear; complete; complex; convolution; cosine; cot; decomposition; definition; delta; dictionary; different; dimensional; distribution; domain; effect; eigenfunctions; example; exp; f(x; fourier; fourier transform; fractional; fractional fourier; frequency; frft; friends; function; general; group; hilbert; ieee; integral; interval; introduction; ka(ξ; kernel; l2(ir; lct; linear; mart́ınez; math; matrix; multiplication; n=0; operations; operator; proc; processing; properties; property; rate; related; representation; rotation; section; set; signal; sin; space; special; sweep; theorem; time; transform; unitary; variables; wavelets; wf)(x; wigner; ξ)-plane; −e−2iα
- versions: original; plain text
- cubo-1550
- author: Kikina, L. K.; Stavroulakis, I.P.
- title: A Survey on the Oscillation of Solutions of First Order Delay Difference Equations
- date: 2005-08-01
- words: 4181
- flesch: 78
- summary: = 0, 1, 2, ..., en donde {pn} es una sucesión de números reales no negativos, k es un entero positivo, en especial cuando ni siquiera se satisfacen las conocidas condiciones de oscilación lim sup n→∞ n� i=n−k pi > 1 y lim inf n→∞ 1 k n−1� i=n−k pi > kk (k + 1)k+1 Key words and phrases: Oscillation, nonoscillation, delay difference equation. [2] M. P. CHEN AND Y. S. YU, Oscillations of delay difference equations with variable coefficients, Proc.
- keywords: appl; assume; condition; criteria; delay; difference; differential; equations; following; lim; math; n→∞; n−1∑; n−k; order; oscillate; oscillation; positive; solutions; stavroulakis; sup; theorem; zhang
- versions: original; plain text
- cubo-1551
- author: Eloe, Paul W.
- title: Positive Operators and Maximum Principles for Ordinary Differential Equations
- date: 2005-08-01
- words: 8933
- flesch: 71
- summary: Then we shall exhibit many types of boundary value problems for which the maximum principle is valid. Second, in Section 2, we shall exhibit many types of boundary value problems (BVPs) for which the maximum principle is valid.
- keywords: applications; associated; assume; banach; boundary; boundary conditions; boundary value; bvp; bvps; conditions; cone; conjugate; continuous; denote; difference; differential; differential equations; eloe; equations; f(t; focal; form; function; g(t; green; henderson; impulse; inequalities; krein; lower; math; maximum; methods; monotone; nonlinear; nth; operators; order; ordinary; paul; point; positive; principle; problems; properties; respect; right; satisfies; second; section; sign; singular; soc; solutions; spaces; study; term; theorem; theory; time; type; unique; value; value problems; x(0; x(t
- versions: original; plain text
- cubo-1552
- author: Costa, Bruno
- title: Spectral Methods for Partial Differential Equations
- date: 2004-12-01
- words: 10957
- flesch: 60
- summary: [8] is a good encyclopedia in spectral methods directed towards Fluid Dynamics applications, as well as the more recent monography by Fornberg [18], where a close relationship between collocation spectral methods and high order Finite Diference schemes is developed. In the past several years, the activity on both theory and application of spectral methods have been concentrated on collocation spectral methods.
- keywords: accuracy; applications; approximation; basis; boundary; bruno; case; characteristic; chebyshev; coefficients; collocation; computational; compute; conditions; costa; decay; derivative; differences; differential; differentiation; dimensional; discontinuity; domain; dynamics; elements; equations; error; fast; figure; finite; flow; fluid; form; fourier; functions; f̂k; galerkin; general; grid; heat; high; information; initial; instance; integration; interested; k=0; legendre; library; linear; mapping; matrix; methods; multidomain; navier; necessary; need; new; nonlinear; number; numerical; obstacle; order; partial; pde; periodic; physical; points; polynomials; problems; pseudospectral; schemes; second; section; set; siam; simple; solution; spectral; spectral methods; stokes; system; temperature; terms; time; transfinite; transformation; use; values; variables; vol; wave; way; work
- versions: original; plain text
- cubo-1553
- author: Milewski, Paul A.
- title: The Forced Korteweg–de Vries Equation as a Model for Waves Generated by Topography
- date: 2004-12-01
- words: 6011
- flesch: 74
- summary: Topographic effects in stratified flows, Cambridge University Press [2] Choi, J.; Milewski, P. A. Resonances between surface waves and periodic topog- raphy. Figure 7: Free surface evolution of a flow over a bump according to the forced Burgers (28) equation for the case 3 2 Δh < f 2 (here f = 0.5, Δh = 0.1.
- keywords: bump; case; characteristics; dependent; downstream; elevation; equation; evolution; fall; figure; flow; fluid; forced; free; free surface; h(x; hole; hydraulic; kdv; large; left; milewski; obstacle; paul; periodic; plateau; problem; right; shock; similar; solutions; speed; steady; subcritical; surface; time; topography; upstream; water; waves
- versions: original; plain text
- cubo-1554
- author: Furtado, Frederico; Pereira, Felipe
- title: On the Scale Up Problem for Two-Phase Flow in Petroleum Reservoirs
- date: 2004-12-01
- words: 7051
- flesch: 58
- summary: We believe such a characterization is an essential step in the scientific program leading to an improved understanding of the scale up problem for porous media flow. [38] F. Pereira, Stochastic geology and porous media flow: theory and simulations, State University of New York at Stony Brook, Ph.D. Thesis, 1992.
- keywords: analysis; anomalous; assumption; asymptotic; behavior; computational; constant; covariance; cvk; diffusion; distinct; effect; equations; exponent; felipe; field; figure; flow; fluid; fractal; frederico; function; furtado; glimm; growth; heterogeneity; heterogeneous; immiscible; laws; length; linear; log; media; mixing; new; nonlinear; nonlinearity; numerical; oil; pereira; permeability; petroleum; phase; phase flow; porous; pressure; problem; process; random; ref; regime; relative; reservoirs; results; saturation; scale; scaling; section; simulations; spe; stochastic; studies; study; theory; time; transport; unstable; values; velocity; water
- versions: original; plain text
- cubo-1555
- author: Cai, Xiao-Chuan; Dryja, Maksymilian; Sarkis, Marcus
- title: A Restricted Additive Schwarz Preconditioner with Harmonic Overlap for Symmetric Positive Definite Linear Systems
- date: 2004-12-01
- words: 9600
- flesch: 78
- summary: Let us denote Ω(W δi,non) by Ωδi,non, then φi(xk) = 1 at xk ∈ W δi,non for the case Ωδi,non ∩ ∂Ω = ∅ since all the boundary nodes of Ωδi,non belong to W Γ δ i,in. For any given u ∈ Ṽδ, we define ui ∈ Ṽδi as ui(xk) = ⎧⎨ ⎩ u(xk) if xk ∈ W δi,in discrete harmonic if xk ∈ W δi,ovl 0 if xk ∈ W \W̃ δi .
- keywords: 1)h; a(u; additive; boundary; cai; case; chuan; constants �; correspondent �; discrete; dryja; element; finite; following; functions; harmonic; i=1; j �; lemma; linear; log(δ; maksymilian; marcus; matrix; nodes; non; note; operator; overlap; overlapping; ovl; paper; partition; preconditioner; problems; rasho; restricted; r̃δi; sarkis; schwarz; set; size; smaller; subdomain; subregion; symmetric; system; type; use; ṽδ; ṽδi; xiao; θi(x; φi(x; ωδi; ∂ω �; � =; � ij
- versions: original; plain text
- cubo-1556
- author: Tabak, Esteban G.; Tal, Fabio A.
- title: Turbulent mixing of stratified flows
- date: 2004-12-01
- words: 5924
- flesch: 57
- summary: Turbulent mixing of stratified flows Esteban G. Tabak Courant Institute of Mathematical Sciences New York University Falta e-mail Fabio A. Tal 1 Courant Institute of Mathematical Sciences New York University Falta e-mail ABSTRACT A mathematical model for turbulent mixing of stratified, sheared flows is de- veloped and explored. Still another possibility is to let l evolve dynamically, following a dynamic equation modeling the cascade of turbulent energy across scales.
- keywords: buoyancy; cooling; critical; depth; diffusion; energy; equilibrium; esteban; evolution; fabio; figure; final; flows; fluid; flux; horizontal; initial; kinetic; layer; mathematical; mixed; mixed layer; mixing; model; momentum; number; numerical; ocean; physical; potential; processes; profile; properties; richardson; run; shear; small; state; stratification; stratified; surface; system; tabak; turbulent; turbulent energy; turbulent mixing; unstable; value; velocity; vertical; water; wind; −40
- versions: original; plain text
- cubo-1558
- author: Chbili, Nafaa
- title: Sym´etries en Dimension Trois: Une Approche Quantique
- date: 2004-12-01
- words: 11764
- flesch: 79
- summary: Cependant, il n’existe pas un algorithme pratique permettant de transformer un diagramme quelconque d’un entrelacs lenticulaire en un diagramme de la forme ̂T p(σ1σ2...σm−1)ms. Par 152 Nafaa Chbili 6, 4(2004) conséquent, le nœud de trèfle n’est pas 3-librement périodique. Dans le tableau de [52], il y a 84 nœuds ayant un nombre de croisements inférieur à 9.
- keywords: alors; approche; aussi; aux; bandes; cas; ces; cette; chbili; classes; coefficients; comme; composantes; condition; congruence; corollaire; critère; crochet; croisements; cyclique; d d; dans; dans la; dans un; de homfly; de la; de s3; des; deux; définie; définition; désigne; diagramme; dimension; donnée; d’alexander; d’autres; d’homologie; d’isotopie; d’une; effet; engendré; entier; entrelacs; entrelacs de; est; exemple; existe; été; façon; fait; fermeture; feuillets; figure; formule; groupe; homfly; impair; invariants; jones; kauffman; knots; l un; le nœud; lenticulaire; les; librement; links; l’action; l’anneau; l’ensemble; l’espace; manifolds; math; même; modulo; montre; mouvements; murasugi; n d; nafaa; nombre; non; note; notons; nous; nœuds; n’est; obtenu; orientés; où; p un; par; paragraphe; partir; pas; periodic; peut; périodiques; plusieurs; points; polynomial; polynôme; polynôme de; pour; premier; przytycki; quantique; quantum; que; question; qui; qu’on; r un; rappelons; reidemeister; relation; revêtement; résultat; seulement; simple; skein; soient; soit; sont; sous; sphère; su(3; suite; suivante; sur; symétries; tangle; techniques; tel; théorème; théorie; topology; toriques; tout; traczyk; tresse; trois; type; un entier; un entrelacs; un nombre; un nœud; une; utilisant; variétés; vol
- versions: original; plain text
- cubo-1561
- author: Martynyuk, A.A.
- title: Matrix Liapunov’s Functions Method and Stability Analysis of Continuous Systems
- date: 2004-12-01
- words: 16269
- flesch: 79
- summary: Here the vector α can be specified as follows: (i) α = y ∈ Rm, y 6= 0; (ii) α = ξ ∈ C(Rn, Rm+ ), ξ(0) = 0; (iii) α = ψ ∈ C(Tτ × ,m, are locally Lipschitzian in x; (ii) vij (t, 0) = 0 for all t ∈ R+ (t ∈ Tτ ), i,j = 1, 2, . .
- keywords: = +; a.a; aiixi; aij; ajj; analysis; approach; assume; assumption; asymptotic; auxiliary; c(tτ; case; class; conditions; connected; constant; continuous; corollary; corresponding; d+v(t; decreasing; definite; definition; derivative; differential; domain; dxi; dynamical; dynamics; elements; equations; equilibrium; estimate; example; form; function; function v(t; general; hahn; hand; hold; iff; iii; invariant; investigation; large; liapunov; martynyuk; matrices; matrix; matrix liapunov; method; moscow; motion; nauka; negative; new; nonlinear; open; partial; piiaij; pij; point; positive; problem; properties; qualitative; results; rm×m; rni; satisfied; scale; section; semi; set; sign; solution; stability; stable; state x; subsystems; sup; system; terms; theorem; theory; time; total; u ∈; v(t; vector; vij; x(t; x)y; york; ytu(t; × n; ψ(t; ∈ k; ∈ r
- versions: original; plain text
- cubo-1563
- author: Avello J., Gustavo
- title: Una condición suficiente para que un punto encontrado por multiplicadores de Lagrange sea un extremo
- date: 1992-12-01
- words: 802
- flesch: 88
- summary: = .Áj, y de la relación (go r.p)(z) = O'v' Probemos el Teorema enunciado en (A) en el caso de un mínimo, loo otros casos, con ligeras modificaciones son similares.
- keywords: clase; mínimo; para; punto; que; revista; sea; sobre; tal; teorema; una; vecindad
- versions: original; plain text
- cubo-1565
- author: González Aguilera, Victor
- title: On a pencil of 𝘒₃ surfaces
- date: 1992-12-01
- words: 974
- flesch: 79
- summary: The intersection of F =O with each hyperplane H¡, i E {1 , ... , 4) , gives a Fermat's quartic of ge nus g = 3, that we denote by F¡ , i E {l , .. . , 4) . It is well known that the biggest group of proj ective automorphisms of F = O {Ferma t 's quartic surface) is isomorphic to Ge!: (7l/4Z )3 x 94 , where 9 4 is the sym· metric group.
- keywords: acts; curve; group; hº(p3; pencil; quartic; que; revista; section; surface; tbe; una
- versions: original; plain text
- cubo-1566
- author: Catalán, Abdón; Costa, Roberto
- title: Acerca de álgebras báricas satisfaciendo (𝓍²)² = 𝜔(𝓍)³𝓍
- date: 1992-12-01
- words: 1929
- flesch: 93
- summary: +'Yn-iw(x)- 1x, by the ideal E,.,(.p) de A generated by ali p(a), a E A. Different. = O se llama tren ecuación de A y n es el rango de A. Par.a estas álgebras N es un nilideal.
- keywords: como; ea(p; elementos; entonces; grado; ideal; ideales; las; los; p(a; p(e; p(x; para; peso; polinomio; polynomials; por; probar; que; revista; satisfacen; sea; son; suficiente; t(p; train; tren; u2v; una; uv2; w(x; álgebras
- versions: original; plain text
- cubo-1570
- author: Delgado Andrade, Victor
- title: Trayectorias de un sistema de control lineal en IRⁿ sobre variedades lineales de codimensión 1 y n-1.
- date: 1992-12-01
- words: 1219
- flesch: 93
- summary: Trayectorias de un sistema de control Lineal en IR.n sobre variedades lineales de codimensión 1 y n-1. Si cu la proposición anteri or k = n, es deci r la última componente de m e:; -l , ento nces u= < m , Ax >.esta
- keywords: codimensión; con; control; cubos; del; entonces; figura; inicial; lineal; lineales; puede; que; revista; sin; sistema; una; uno
- versions: original; plain text
- cubo-1572
- author: Riquelme Sepúlveda, Roberto
- title: Análisis armónico sobre 𝑆𝑙(2, 𝛺), 𝛺 cuerpo p-ádico (𝑝 ≠ 2)
- date: 1992-12-01
- words: 979
- flesch: 83
- summary: Teorema 2.2 G = S l (2 , !1) es generado por elem ento s d e la Jonna u(b) = ( ~ ~) pam b e n fl y el elemento w = (-~ ~). donde w(f/J) e.s el cond uctor de l/.l y q es el orden de In clase residual , entonces se verifica que Í (x ) = / (- x).
- keywords: carácter; con; den; denotemos; entonces; grupo; igual; los; para; por; que; representación; sea; sl(2; sobre; teorema; u(b; una
- versions: original; plain text
- cubo-1573
- author: Baeza V., R.; Benavides G., R.
- title: Formas Bilineales Asociativas en una Algebra Bárica
- date: 1992-12-01
- words: 850
- flesch: 85
- summary: Sea J( un cuerpo de caraclerfsbica difert::nLe de Clos y Si T : N - N, con N = ke.rw, denota la mu\Liplicnció n a izquierda por d idempolente e: y U = lm-r~ , V = /( er-rk, enlonccs
- keywords: así; b(e; b(n; b(u; bernslein; con; forma; orden; para; por; que; sea; tenemos; una; álgebra
- versions: original; plain text
- cubo-1575
- author: Venkatesh, Akshay; Naveen Kumar, R.T.
- title: On some recurrent properties of three dimensional K-contact manifolds
- date: 2017-06-01
- words: 2464
- flesch: 69
- summary: [8] E. Peyghan, H. Nasrabadi and A. Tayebi, On φ-recurrent contact metric manifolds, Math. [2] D.E. Blair, Contact manifolds in Riemannian geometry.
- keywords: contact; contact manifold; cubo; curvature; dimensional; following; form; g(x; g(y; generalized; manifold; math; metric; recurrent; ricci; semi; tensor; theorem; vector; y)z; z)x
- versions: original; plain text
- cubo-1576
- author: López, Iris A.
- title: On the hypercontractive property of the Dunkl-Ornstein-Uhlenbeck semigroup
- date: 2017-06-01
- words: 6600
- flesch: 84
- summary: − L j kf(σix) ) = d∑ i=1 { ki 4x2i (∂2if(x) − ∂ 2 if(σix))(f(x) − f(σix)) + kj 2x2j (f(σjx) − f(x) + f(σix) − f(σjσix)) − xj(∂jf(x) − ∂jf(σix)).
- keywords: 2x2i; 2x2j; 4x2i; cubo; differential; dunkl; f(x; following; fractional; generalized; hermite; hypercontractive; inequalities; inequality; iris; j kf(x; j=1; j=1,j6; kf(x; ki 2x2i; kikj; kjki; l j; lemma; lkf; logarithmic; lópez; math; operator; ornstein; polynomials; property; semigroup; sobolev; spaces; theorem; uhlenbeck; x3i; zd2; γ2(f; ∂if(x; ∂jf(x; − f(σix; − f(σiσjx; − ki; − l; − ∂
- versions: original; plain text
- cubo-1577
- author: Yadav, S. K.; Chaubey, S. K.; Suthar, D. L.
- title: Some geometric properties of η− Ricci solitons and gradient Ricci solitons on (𝑙𝑐𝑠)𝑛−manifolds
- date: 2017-06-01
- words: 6091
- flesch: 83
- summary: + 2η(X)η(Y)ξ + η(Y)X} , (2.12) S(X, ξ) = (n − 1)(α2 − ρ)η(X), (2.13) S(φX, φY) = S(X, Y) Also from (3.18) we have δ = −α + (n − 1)(α2 − 1) = constant.
- keywords: 1)(α2; chaubey; concircular; constant; cubo; curvature; einstein; equation; field; g(x; geometry; lcs)n−manifold; lorentzian; manifold; math; metric; non; properties; r(e1; ricci; s(x; sasakian; soliton; structure; suthar; symmetric; tensor; theorem; vector; view; yadav; η−ricci; χ(m; −(u
- versions: original; plain text
- cubo-1578
- author: Tchuiaga, S.; Koivogui, M.; Balibuno, F.; Mbazumutima, V.
- title: On topological symplectic dynamical systems
- date: 2017-06-01
- words: 8507
- flesch: 76
- summary: Section 4 deals with the definitions of the C0−compact open topology, the origin of strong symplectic homeomorphisms, and the definition of strong symplectic isotopies with their generators. A continuous map ξ : [0, 1] → Homeo(M) with ξ(0) = idM, is called strong symplectic isotopy if there exists a D∞−Cauchy sequence {(Fi,λi)} ⊂ T(M,ω, g) such that d̄(φ(Fi,λi),ξ)
- keywords: banyaga; continuous; converges; cubo; definition; denote; diffeomorphisms; displacement; dynamical; energy; flow; following; geometry; group; h1(m; hamiltonian; harmonic; hofer; homeomorphisms; isotopies; isotopy; large; like; manifold; map; max; mbazumutima; metric; norm; open; path; proof; respect; result; sequence; set; smooth; space; ssympeo(m; strong; strong symplectic; symplectic; symplectic homeomorphisms; symplectic isotopy; systems; t(m; tchuiaga; theorem; topological; topology; φ(ui; φ(vi
- versions: original; plain text
- cubo-1579
- author: Gasteratos, Ioannis; Kuruklis, Spiridon; Kuruklis, Thedore
- title: A Trigonometrical Approach to Morley’s Observation
- date: 2017-06-01
- words: 5537
- flesch: 69
- summary: = 180◦, B′′C′′ = p sin α++ = 8R sin α− sin β− sin γ− while ∠AB′′C′′ = γ and ∠AC′′B′′ = β. = 8R sin β − sin β+; thus CC′′B = 8R sin β − sin β+ sin α++ and AC′′B = 8R sin β − sin β+ sin γ.
- keywords: angles; central; collinear; complete; cubo; determine; equilateral; explementary; exterior; inner; interior; intersections; kuruklis; lengths; los; meet; mix; morley; observation; p sin; parallel; peripheral; proof; proximal; sides; sin; sin β; theorem; triangle; trigonometrical; trisectors; trisectors proximal; type; vertex; ∆bac
- versions: original; plain text
- cubo-1586
- author: Prunescu, Mihai
- title: Concrete algebraic cohomology for the group (ℝ, +) or how to solve the functional equation 𝑓(𝑥+𝑦) - 𝑓(𝑥) - 𝑓(𝑦) = 𝑔(𝑥, 𝑦)
- date: 2007-12-01
- words: 3604
- flesch: 105
- summary: und 1l{ u, r ) z, m JMtHrul111 ,,,,, O. lt fo llows 111111 \.' ii. 11 11 1 morphi..111 lw tw ('(' ll tl w r xn r t .. r o m putl' n !<llutio n /o w11h fn( l) O. !
- keywords: 11d; 11rl; 1lw; cubo; fun; funct; g(.r; g(.r.y; g(o; group; ht•; i11; ill; io11; ion; iso; j(.r; j(o; journal; l11; lil; llll; llw; log; lrnt; mathematical; nct; nll; nnd; o f; proor; ror; rory; t'x; th1; thc; tht•; tl1r; tlmt; tlu; tlw; trivinl; u.o; unn
- versions: original; plain text
- cubo-1598
- author: Danchev, Peter
- title: Notes on the Isomorphism and Splitting Problems for Commutative Modular Group Algebras
- date: 2007-04-01
- words: 3220
- flesch: 96
- summary: P r oor. S pli tting G r o ups.
- keywords: abelian; acad; acln; algcbra; ali; bol; cli; com; cubo; dircct; e n; factor; filgcbrn; g,,)(g; gmup; grnpos; group; grupo; ing; ion; journal; lhat; lhc; lhe; lhis; mal; mathematical; mixcd; mnth; modular; ncw; nnd; nol; ore; ovcr; parn; problcm; rcnd; roups; rphi; samc; set; soc; somc; spli; t.hc; t.ion; t.o; thc; thnt; tion; true; tting; ups; urc
- versions: original; plain text
- cubo-1603
- author: Lu, Qikeng
- title: Global Solutions of Yang-Mills Equation
- date: 2006-08-01
- words: 2003
- flesch: 100
- summary: r = (r0.r1 .r~,r3) of RP'1 1J 1c =O nnd obvious ly iL s1.1l.
- keywords: 1hc; fnct; global; group; i11; journal; l(2; lhc; lhe; mathematical; nnd; nrc; nre; odd; provc; ru1d; su(2; t.hc; t.he; t.ion; t.o; thc; tht; tlmt; yang
- versions: original; plain text
- cubo-1625
- author: Kumar, Surendra
- title: The Solvability and Fractional Optimal Control for Semilinear Stochastic Systems
- date: 2017-10-01
- words: 4682
- flesch: 73
- summary: mathdma@gmail.com ABSTRACT This paper deals with fractional optimal control for a class of semilinear stochastic equation in Hilbert space setting. [19, 20] discussed the existence of local and global solutions for fractional semilinear systems, and extended the results for fractional optimal control.
- keywords: aad; applications; banach; calculus; conditions; control; cubo; definition; differential; equations; existence; f(t; following; fractional; fractional optimal; function; hilbert; inequality; infinite; kumar; lemma; measurable; mild; nonlinear; operator; optimal; optimal control; order; point; problem; semilinear; solution; solvability; space; stochastic; surendra; system; theorem; theory; tα(t; uad; uniqueness; wang; x(t; ℓ(t
- versions: original; plain text
- cubo-1626
- author: Mansouri, Bouzid; Ardjouni, Abdelouaheb; Djoudi, Ahcene
- title: Periodicity and stability in neutral nonlinear differential equations by Krasnoselskii’s fixed point theorem
- date: 2017-10-01
- words: 4654
- flesch: 86
- summary: For all φ ∈ M, consider the nonhomogeneous equation d dt v(t) + la1(t)v(t) = lp1(t) − la1(t)q1(t)g(v(t − τ(t))) According to the Lemma 2.1, this equation has a unique ω-periodic solution v(t) = ( 1 − e− ∫ t+ω t la1(u)du )−1 ∫t+ω t e ∫ s t+ω la1(u)du[lp1(s) − la1(s)q1(s)g(v(s − τ(s)))
- keywords: a(u)du; ardjouni; cubo; delay; differential; djoudi; equations; existence; functional; g(u∗(t; krasnoselskii; la1(u)du; mathematics; neutral; nonlinear; order; periodic; periodicity; point; positive; q(t; solutions; stability; sup; theorem; u∗(t −; v(t; variable; |f(u)|; τ(s; τ(t; ‖q1‖0; ‖q‖; − f(u∗(s; − r(s; − r(t
- versions: original; plain text
- cubo-1627
- author: Cernea, Aurelian
- title: On the solution set of a fractional integro-differential inclusion involving Caputo-Katugampola derivative
- date: 2017-10-01
- words: 4321
- flesch: 83
- summary: Assume that Hypothesis 3.1 is satisfied, consider x0 ∈ R and assume I α,ρM < 1. ∈ [0, 1], x, y ∈ R, dH(F(t, x1, y1), F(t, x2, y2))
- keywords: a.e; c(i; caputo; cernea; closed; continuous; cubo; d(i; decomposable; derivative; differential; equations; exists; f(t; fractional; function; hypothesis; inclusion; integro; katugampola; l1(i; lemma; lower; map; mapping; multifunction; nonempty; problem; results; selection; semicontinuous; set; solution; space; subset; values; γ(α
- versions: original; plain text
- cubo-1628
- author: Guiro, Aboudramane; Ibrango, Idrissa; Ouaro, Stanislas
- title: Weak homoclinic solutions to discrete nonlinear problems of Kirchhoff type with variable exponents
- date: 2017-10-01
- words: 3568
- flesch: 91
- summary: 44 Aboudramane Guiro, Idrissa Ibrango and Stanislas Ouaro CUBO 19, 3 (2017) 1 Introduction In this paper, we study the following nonlinear discrete anisotropic problem (P) −M(A(k − 1, ∆u(k − 1)))∆(a(k − 1, ∆u(k − 1))) � 4 An extension In this section we consider the following problem (Pu) −M(A(k − 1, ∆u(k − 1)))∆(a(k − 1, ∆u(k − 1)))
- keywords: a(k; cubo; difference; discrete; following; homoclinic; j(u; k −; k∈z; lim; nonlinear; ouaro; p(.)(u; p(k; problem; solutions; weak; ||u||; ρ1,α; ∆u(k; ∣∣∣∣
- versions: original; plain text
- cubo-1630
- author: Guiro, Aboudramane; Ibrango, Idrissa
- title: Existence of solutions for discrete boundary value problems with second order dependence on parameters
- date: 2017-10-01
- words: 3307
- flesch: 88
- summary: Then N+1∑ k=1 a(k − 1, ∆u(k − 1))∆(u − v)(k − 1) = N∑ k=1 δ(k)f ( k, u(k), w ) (u − v)(k) (3.14) and N+1∑ k=1 a(k − 1, ∆v(k − 1))∆(v − u)(k 2 Preliminaries In the N-dimensional Hilbert space X = {x : [0, N + 1] −→ R; such that ∆x(0) = 0 = ∆x(N)} with the inner product (x, y) = N+1∑ k=1 ∆x(k − 1)∆y(k − 1), ∀ x, y ∈ X, we consider the norm ‖x‖ = ( N+1∑ k=1 |∆x(k − 1)|2 ) 1 2 .
- keywords: a(k; boundary; condition; constant; cubo; discrete; existence; f(k; following; functional; guiro; k ∈; k=1; lemma; n+1∑; non; problem; solutions; trivial; u(k; value; |∆x(k; δ(k; δ(k)f
- versions: original; plain text
- cubo-1650
- author: Tarkhanov, N.
- title: On Brouwer's Fixed Point Theorem
- date: 2004-03-01
- words: 2311
- flesch: 94
- summary: 11 5 116 N. Tarkbanov contri b utes t o t [o, b]) is l t~ss t hai1 On Drouwer's FLYed Poillt Theorem 119 Wc no~ make use of cqualities (3.2) to evaluate Lhe integrand in the latter integnll.
- keywords: boundary; case; cohomology; degree; fixcd; formula; ins; l(f; lefschetz; local; map; math; neumann; operators; point; potsdam; problem; proof; smooth; space; t.he; thc; theorem; vol; y)dy
- versions: original; plain text
- cubo-1663
- author: Chen, Chao-Ping; Liu, Ai-Qi; Qi, Feng
- title: Proofs for the Limit of Ratios of Consecutive Terms in Fibonacci Sequence
- date: 2003-10-01
- words: 1805
- flesch: 100
- summary: [ ( 1+15) - ( 1 - 15)-'] F .. +2 - J5 2 2 , (:!G) m1d F = ...1_ SF for Pure 11~Mcli of Nruurnl Scicncc oí tht' li;clucM1011 Depru-tmcnl o f l k nlln
- keywords: aud; contents; edu; fibonacci; html; http; i11; ion; limit; liu; math; proof; sequence; series; t.o; terms; thc; ustc; x2k
- versions: original; plain text
- cubo-1667
- author: Ramm, Alexander G.
- title: A characterization of Unbounded Fredholm Operators
- date: 2003-10-01
- words: 1891
- flesch: 98
- summary: 92 A CJ11ll'a cterizl.ltior1 o( U11bounded F'rcdl1olm Operntoffl In f11j si mpl e nnd s hort proof of t he Fredho lm ahernat1 \-e and n chnratl riuuon ol Fredholm opero t.ors ar e g:iven for boundt.. Since v belougs to t he direct complement of N(I - T ), it follows that v =O. On th e other hand, si nce llvll = limn ..... 00
- keywords: a.g; closed; dim; fredholm; linear; n(a; n(b; n(i; nnd; opcmtor; opem; operator; proof; r(a; ramm; rank; set; tor
- versions: original; plain text
- cubo-1685
- author: Kapolyi, Laszlo; Szidarovszki, Ferenc
- title: Control of Dynamic Oligopsonies with Production factors
- date: 2003-10-01
- words: 1464
- flesch: 71
- summary: Recently a d y namic <132 Control of Dynamic O/igopsonies with Production Fac tors ollgopsony model was introduced by Kapolyi and Szidarovszky {2001) , in which the cxis- t ence , uniqueness and the global asymptotical stability of the Nash-Cournot equilibrium wcre prove<l. In this paper we will discuss the controllability of the same dynamic syste m, where the co mp etitive pro<luct price or fixed production factor price is the control variable. Le t M denote the number of production factors , vector {;, the production factor usage of N firm k , fk the production function of firm k, L.= L: lk the total production factor usage of k=l the industry, JQ the M-element price vector for the production factors, and p the competitive product price.
- keywords: ali; case; competitive; control; cournot; dynamic; equilibriurn; factors; firm; fixed; general; kapolyi; linear; matrix; oligopoly; oligopsonies; price; production; rank; system; szidarovszky; variable
- versions: original; plain text
- cubo-1696
- author: Guo, Bai-Ni
- title: Three proofs of an identity involving derivatives of a positive definite matrix and its determinant
- date: 2003-06-01
- words: 1313
- flesch: 95
- summary: The Riema nnian metric on M associates t o each p E M an inner product o n Mp , which we d enote by ( , ). = A, >-n (5) T hree proofs of an identity involviog ... therefore, ,.-e have G = PAP- 1 1 c- 1 = PA - 1 P - 1 1 and 8, G = 8,(P/\P- 1 ) = (81P)/\P- 1 + P(8; A)P-1 + P/\(8,(P- 1)), c-1(8;G) = (P/\ - 1 p - ' )(8;P)/\P-1 + (P/\- 1 p - 1)(P(8,A)P- 1)
- keywords: china; definite; deri; hcnan; hree; identity; igi; lhe; linear; matrix; positive; proofs
- versions: original; plain text
- cubo-1706
- author: Anastassiou, George A.
- title: A New Expansion Formula
- date: 2003-01-01
- words: 1242
- flesch: 98
- summary: lmp!icullions and applicntio ns o f tbe fo r mu la follmv. Consiclcr thc dislribution fun tions g0 ,,,.(x) : ''¡a,xl, x E a, bJi m. EN, which 1:1rc of boundl'<I 'riolion and Lebcsgue integrable.
- keywords: 92/"'dt; anastassiou; corollary; fdgo; l9o; m(t)ldt; proof; thc
- versions: original; plain text
- cubo-1778
- author: Mallol, Cristián
- title: Un truco de Naipes: en la búsqueda de puntos fijos
- date: 2002-06-01
- words: 1333
- flesch: 84
- summary: a kp. Obligadamente r# O, n - 1 y, en este caso, existe un sólo punto fijo f=q¡n+r¡ donde Q¡ y r¡ son el cociente y el resto de la división de kp por n -1. L y que las filas lo son del O a l p - 11 sabemos que la posición ocupada por el crnre d e la línea q con la columna r está dada por qn + r. Si la r.art.a elegid a OC'npa esta posición, a l ubicar su columna en el lugar k, esta carta pasa a ocupar In posirión qn + k, s iendo ella la q-ésimn rartn de la co lumna.
- keywords: cartas; caso; colocar; columna; como; con; dada; donde; dos; elegida; entonces; esta; este; esto; fijos; función; hacia; las; m(x; más; naipes; para; por; posición; puntos; que; son; tiene; truco; una
- versions: original; plain text
- cubo-1783
- author: Hacon, Derek
- title: Jordan normal form via ODE's
- date: 2002-06-01
- words: 1709
- flesch: 90
- summary: onvcrscly, 1 t / (D) be a diagona l ent ry f 'D(D) of 1 hr fonn Dlr+ high r pow r f D wh r k > O. Th n t.hc row vect.or (1 t ... (k¡:li )I) 'n ' for f(D). In li:l'lltrnl , R 'is f r F ( D ) may ll<' obta1111~l by r l11ci ng F t,o dia- gonaJ form by row nnd c' olu mn opcra1 ions.
- keywords: basis; case; columns; d(d; diagonal; f(d; form; hen; jordan; matrix; nnd; normal; ode; poly; row; solutions; system; t.he; uch
- versions: original; plain text
- cubo-1798
- author: Castro Gutierrez, F.
- title: Elementos Matemáticos en la Civilización Incaica
- date: 1999-06-01
- words: 1262
- flesch: 63
- summary: [l ] Elementos Matemáticos en Ja Ci vilización Incaica El quipu desempeñó el rol de un in strumento de comunicación de gran capaci- dad de información en una organización política y social fuertemente centralizada. Es interesante acotar que en el caso de los incas , dos de esos elementos esenciales se estructur an en la trama de un tejido de fibr as: los puentes colgantes y el encordado del quipu.
- keywords: 10s; algunos; aspectos; carácter; castro; cl.e; cle; colores; comunicación; con; cual; cuerdas; del; elementos; era; esta; este; estos; fig; hoy; incas; información; juegos; las; los; matemática; más; nudos; otras; para; podemos; por; puentes; que; quipu; recurso; registros; sistema; sobre; sus; también; tejido; tra; una; uno; us0; utilizado; variables; vez; vol; vías
- versions: original; plain text
- cubo-1803
- author: Pellegrino, D. M.
- title: Acerca de una Definición Débil de Números Normales
- date: 1999-06-01
- words: 1753
- flesch: 90
- summary: Formalmente , w, es casi g-normal si (\l k E IN ), (\lc, ... c, ; e, E {O, ... , g-1}\lj E {l , ... , k} ), 3i E JJV ; a,., _, =e,, \lj E {l , .. , k) 50 D. M. Pellegrino Est a es una condi ción débil ante la condición requerida de números g-normales. a alguna base g. Un ejemplo canónico de un número 10-normal, debido a D. G .
- keywords: base; cada; casi; como; con; definición; débil; dígitos; entero; entonces; esta; f(x; los; normal; normales; número; para; pero; por; proposición; que; sea; simple; son; sucesión; tal; tales; todos; una
- versions: original; plain text
- cubo-1810
- author: Mallol, Cristián
- title: A propos des algèbres pondérables
- date: 1995-05-01
- words: 2361
- flesch: 94
- summary: qu e 'Y= WiJ.~ · b) // exist e e E A, tel qu e w;(c) = 1, pour tout i. Dómonslration. (a ) ::::} (d), il suffit de prendre E= K er(w) et choisir e E E , w(e)
- keywords: a(z; alg; application; b(a; c3l; car; cor; cubo; da.ns; des; deux; e e; ensemble; entre; est; existe; ker(w; les; m(e; non; par; pondémtions; pondération; pondérée; pose; pour; proposition; puis; q(e; q(x; que; qui; simple; soit; sont; sous; suit; tel; toute; type; une; w(e; w(x
- versions: original; plain text
- cubo-1811
- author: Montenegro, Eduardo
- title: Hamiltonety and automorphisms group of graph preserved by substitution
- date: 1995-05-01
- words: 1840
- flesch: 96
- summary: no common ve rticcs 11mong t.h c mscl.t1c3 n o r wi.th G, wh ere cach S, :::::: K~_ 1 , t.hen ( i) M,.(G) is n hnmiltone.an and ( ii} A ut. Lc t G be a graph whithout i30 lated.
- keywords: a.nd; aut.(g; block; case; cdgc; common; complete; copy; cubo; cycle; edge; gcnerator; gmph; graph; group; interna; ion; m,(c; m,.(g; mon; preserve; proo; set; symmetry; thc; thcn; ubstitution; v(g; vcrticcs; wit.h
- versions: original; plain text
- cubo-1813
- author: Bustos V., Manuel
- title: Cálculo subdiferencial y conjuntos polares
- date: 1995-09-01
- words: 2526
- flesch: 104
- summary: Otú.lad J E l'o(éj, z o E E .Y Si e e E., l!:'I 1111 co11j11nlO com·cxo cxn-ado que co nt iene 1\ 01 :ltlll /1 • Uf' o A UJ>ongn.
- keywords: 111; calc; como; con; conjunto; convexo; del; e e; e l; e n; fin; ión; nció; por; que; ubo; ulo; un11
- versions: original; plain text
- cubo-1817
- author: Leiva Vivar, Juan
- title: Clasificación de las métricas invariantes a izquierda en grupos Lie
- date: 1995-09-01
- words: 2192
- flesch: 97
- summary: Sean, a hora, X E e' u, V E T:i:G Cll /\lcsquicr a. Sea 8 1 = { t 1, •••• r n} ba..<:.e d e g ,ortono r mnl res¡>t'cto al 1>roduct o inte rn o < . >!
- keywords: ahora; bajo; base; como; con; condiciones; cubo; d e; dada; dado; del; dice; donde; e c; ele; en g; este; esto; existe; grupo; interno; invariantes; izquierda; las; lic; lie; métrica; nexo; para; por; pos; producto; puede; pues; que; queda; sea; sean; son; tal; una; y g; álgebra; única
- versions: original; plain text
- cubo-1819
- author: Figueroa Cortés, Alejandro
- title: Subproductos escalares no arquimedianos
- date: 1994-12-01
- words: 1473
- flesch: 90
- summary: todo x , y , u en E: 8 (x + y, u) S máx(8(x, u), 8(y, u)) ( e) Paro todo x,y en E ' 8 2 (x, y) S 8(x, x )8(y,y) (f ) 8(0, 0) = o ( g) Paro todo x, y en E y a en p, 8(ax, y) = lal8(x, y). E y t odo a en F : p(ax) = la lp(z ) ( .9)
- keywords: anillo; b(x; b(y; con; en e; entonces; espacio; existe; figueroa; p(x; para; paro; que; sea; sean; sobre; todo; todo x; trivial; valuado; vectorial; y en
- versions: original; plain text
- cubo-1821
- author: Paredes U., Eric
- title: Soluciones Analíticas de un Problema de Valor Inicial y de Contorno
- date: 1994-12-01
- words: 1491
- flesch: 94
- summary: Pode mos o bservar q ue : 17 (8) (9 ) (16) (11 ) P ara q ue ( 12) sea una so lución del problema ( P ) de b en s atisfacerse algunas condicio nes de integrabilidad en la.o:; fondones K , L y C: , por ejemplo: K, L y C: co ntinu as. i nicial y d e conto m
- keywords: a(y; c(x; contorno; cubo; del; entonces; escr; f(y; forma; inicial; l(x; obtiene; paredes; por; problema; puede; que; sean; soluciones; solución; u(x; una; valor
- versions: original; plain text
- cubo-1825
- author: Maturana, Ana María
- title: Modelos del Mal de Chagas
- date: 1991-12-01
- words: 2410
- flesch: 105
- summary: i o n e s e n e l mo - del o serén difer e nte s ( co mo a co n llo nu ac l ó n se d e t a llan) y V(l) s e co ns ld eraró co ns tante . e ri- d as d e e s l as pi caduras.
- keywords: cas; cauchy; dad; del; equ; este; las; modelos; mos; nes; onde; ones; pag; para; pob; por; que; soluc; tasa; uce
- versions: original; plain text
- cubo-1834
- author: Baeza, Rodolfo
- title: On nuclear Bernstein algebras
- date: 1990-07-01
- words: 1515
- flesch: 91
- summary: The subspacea U and V satisfy the fundamental relations u2~, uv~, v2~, vv2•o, uY-o and the fundamental identities u~-o, u1(u 1v 1 )•O, u 1 (u 2 u 3 )+u 2 (u 3 u 1 }+u 3 (u 1 u 2 ) • o (Jacobi's identity) 1 vu 1tU, v 1EV, and (xy)(zt)+(xz)(yt)+(xt)(yz) Proor , It x-ae+u+u1 u 2 be in D, then xU•O impliH aeU+uU+(u 1u 2 )
- keywords: algebra; bernstein; commutative; core; finita; ideal; identity; jordan; ker(w; lemma; nilpotent; principal; proof; special; thua; train
- versions: original; plain text
- cubo-1844
- author: Alcalde, M. T.; Baeza, Ricardo; Burgueño, Cesar
- title: Caracterización en Álgebras de Bernstein
- date: 1988-12-01
- words: 1263
- flesch: 97
- summary: O y que U V =O. El recip r oco 60 REVISTA CUl!G .. U G V un álgebra de Bernstern sobre K, en ton ces A es Normal ss1 v2:o y UV:O DEMCS!'RACION:
- keywords: bernstein; entonces; ker; para; por; que; sea; sobre; son; w(x; álgebra
- versions: original; plain text
- cubo-1849
- author: Henríquez Barrientos, Lionel
- title: Solución de la Cuártica
- date: 1987-12-01
- words: 719
- flesch: 101
- summary: fina l men t e d e ( 11 ) , ob t o
- keywords: las
- versions: original; plain text
- cubo-1866
- author: Billeke Gonzalez, Jorge
- title: Solución a problemas propuestos
- date: 1986-12-01
- words: 1393
- flesch: 108
- summary: Co n sideremos t:J ABC pe- d lCJO c on 8 e L l, A cl3 y C e L2 • 1- _, e e n to n ces 0
- keywords: ces; log; n+l; pero; que; tal
- versions: original; plain text
- cubo-1872
- author: Hidalgo, Rubén A.
- title: Totally Degenerate Extended Kleinian Groups
- date: 2017-10-01
- words: 3980
- flesch: 64
- summary: Basic examples of Kleinian groups are the following ones. On boundaries of Teichmüller spaces and on Kleinian groups: I. Ann. of Math. 91 (1970), 570-600.
- keywords: combination; component; conformal; connected; cubo; degenerate; discontinuity; element; extended; finite; fundamental; g(t; group; half; hyperbolic; invariant; isomorphism; kleinian; kleinian group; lemma; limit; maskit; möbius; non; orientation; parabolic; plane; points; quasifuchsian; region; riemann; set; theorem; transformations
- versions: original; plain text
- cubo-1895
- author: Anastassiou, George A.
- title: Approximation by Shift Invariant Univariate Sublinear-Shilkret Operators
- date: 2018-10-19
- words: 4621
- flesch: 92
- summary: − f ( 2−k· )( 2kx )∣ ∣ψ(u)dµ(u) (14) ≤ (here ∣ ∣ ( 2kx − u ) − f ( y − u + j n ))
- keywords: 2kn; 2kx; approximation; cubo; f(n; n−1; operators; shift; shilkret; sup; ψ(u)dµ(u; ∣ ∣; ∣ ≤
- versions: original; plain text
- cubo-1896
- author: Venkatesha; B., Shanmukha
- title: \(W_2\)-curvature tensor on generalized Sasakian space forms
- date: 2018-10-19
- words: 3823
- flesch: 74
- summary: Keywords and Phrases: Generalized Sasakian space form, W2-curvature tensor, pseudosym- metric, φ-recurrent, Einstein manifold. In order to generalize such space forms in a common frame Alegre, Blair and Carriazo [1] introduced and studied generalized Sasakian space forms.
- keywords: cubo; curvature; equation; flat; forms; g(x; g(y; generalized; generalized sasakian; manifold; math; orthogonal; pseudosymmetric; r(x; recurrent; riemannian; sasakian; sasakian space; shanmukha; space; space forms; symmetric; tensor; theorem; v)z; vector; venkatesha; w2(u; y)z; z)x
- versions: original; plain text
- cubo-1897
- author: Jeyanthi, P.; Nalayini, P.; Noiri, T.
- title: Pre-regular \(sp\)-open sets in topological spaces
- date: 2018-10-19
- words: 3064
- flesch: 83
- summary: α-open, semi-open, a q-set) subset of X. CUBO 20, 1 (2018) Pre-regular sp-Open Sets in Topological Spaces 33 2 pre-regular sp-open sets In this section, we define and characterize pre-regular sp-open sets and study some of their prop- erties. CUBO 20, 1 (2018) Pre-regular sp-Open Sets in Topological Spaces 35 Example 2.11.
- keywords: continuous; int(cl(inta; int(cla; open; pint(spcla; pre; preopen; proof; regular; regular open; regular sp; semi; sets; space; subset; theorem; topological
- versions: original; plain text
- cubo-1898
- author: Kumar Mohanta, Sushanta
- title: Common Fixed Point Results in C∗-Algebra Valued b-Metric Spaces Via Digraphs
- date: 2018-10-19
- words: 9230
- flesch: 87
- summary: x − y |3 I for all x, y ∈ X, where I is the identity operator on H. Then (X, B(H), d) is a complete C∗-algebra valued b-metric space with the coefficient A = 4I. Let G be a digraph such that V(G) = X and E(G) A mapping f : X → X is called a C∗-algebra valued G- contraction if there exists a B ∈ A with ‖ B ‖2< 1 ‖A‖ such that d(fx, fy) � B∗d(x, y)B, for all x, y ∈ X with (x, y) ∈ E(G).
- keywords: b(h; cgf; coincidence; common; compatible; complete; condition; contraction; corollary; cubo; c∗-algebra; d(fx; d(u; d(x; e(g̃; fixed; g(x; graph; gxn; gxn+1; gxni; mapping; metric; metric space; n =; point; proof; property; results; sequence; set; space; theorem; theory; unique; ‖a‖+1
- versions: original; plain text
- cubo-1899
- author: de la Maza, Ana Cecilia; Moresi, Remo
- title: On rigid Hermitean lattices, II
- date: 2018-10-19
- words: 6176
- flesch: 71
- summary: b⊥⊥ = b c c ⊥ e a = d b⊥a ⊥ e⊥� � � � � � � � � ❅ ❅ ❅ ❅ ❅ ❅ ❅ ❅ ❅ �� �� ��❅ ❅ ❅ ❅ ❅ ❅ α1 α11 α11 α2 α3 α1 = α2 = α3 = ℵ0 r r r r r r r r r r r r r r r α12 = δ ( a ⊥ 11/a ) c = b d⊥ = a11 d I r r r r r r b a b⊥a ⊥ � � �� � � �� ❅ ❅ ❅❅ ❅ ❅ ❅❅ β4 = δ ( c/c1 ) β4 β2 β1 β1 β4 β2 r r r r r r r r r r b c c⊥ e a b⊥a⊥ e⊥� � � � ❅ ❅ ❅❅ ❅ ❅ ❅❅ � � � � ❅ ❅ ❅❅ ❅ ❅ ❅❅ β7 = δ ( c1/b ⊥⊥ ) β3 β7 β1 β1 β2 β1 β3 β3 β2 β2 β1 β1 β3 β7 r r r r rr r r r r b d⊥ d e a⊥ a e⊥ b⊥ � � �� � � �� � � �� � � �� ❅ ❅ ❅ ❅ ❅ ❅ ❅ ❅ β8 =
- keywords: cubo; factors; following; hermitean; lattices; maza; moresi; proof; q q; q qq; q ✟; r r; relations; rigid; theorem; α16; α17; α19; α20; α3 q; ✑ ✑; ✟ ✟; ❅ ✟; ❅ ❅; ❍ ✟; ❍ ❍
- versions: original; plain text
- cubo-1900
- author: Danish Siddiqi, Mohd; Akif Akyol, Mehmet
- title: Anti-invariant ξ⊥-Riemannian Submersions From Hyperbolic β-Kenmotsu Manifolds
- date: 2018-10-19
- words: 4997
- flesch: 74
- summary: On the other hand, the geometry of anti-invariant Riemannian submersions is different from the geometry of almost Hermitian sub- mersions. However, this result is not valid for anti-invariant Riemannian submersions, which was first studied by Sahin in [8].
- keywords: akif; akyol; anti; contact; cubo; danish; field; following; geodesic; geometry; gm(cy; hand; harmonic; horizontal; hyperbolic; i=1; invariant; kenmotsu; kerf∗; manifold; mehmet; metric; mohd; product; proof; riemannian; section; siddiqi; submersion; tensor; theorem; vector
- versions: original; plain text
- cubo-2045
- author: del Rio, Rafael; Franco, Asaf L.; Lara, Jose A.
- title: An approach to F. Riesz representation Theorem
- date: 2018-07-31
- words: 4452
- flesch: 76
- summary: An approach to F. Riesz representation Theorem 3 for all f ∈ C(K), where ‖ · ‖ ∞ denotes the uniform norm, that is, ‖f‖ ∞ = sup{|f(x)| : x ∈ K}. = 1 for all x ∈ K,
- keywords: analysis; appendix; asaf; c(k; c[a; closed; compact; constant; continuous; cubo; del; finite; franco; function; functionals; integral; interval; jose; lara; linear; measure; new; positive; proof; real; representation; result; riemann; riesz; rio; set; spaces; stieltjes; theorem; theory; use; york; µ(k
- versions: original; plain text
- cubo-2046
- author: Jeyanthi, P.; Maheswari, A.
- title: Odd Vertex Equitable Even Labeling of Cycle Related Graphs
- date: 2018-07-31
- words: 3280
- flesch: 86
- summary: Keywords and Phrases: Odd vertex equitable even labeling, odd vertex equitable even graph, double triangular snake, subdivision of double quadrilateral snake, double alternate triangular snake, double alternate quadrilateral snake, subdivision graph. The vertex labeling f is known as vertex equitable labeling.
- keywords: double; edge; equitable; figure; graph; labeling; labels; nk1; odd; odd vertex; s s; snake; theorem; v(g; vertex; vertex equitable; vertices
- versions: original; plain text
- cubo-2048
- author: Georgiev, Svetlin G.; Zennir, Khaled
- title: New approach to prove the existence of classical solutions for a class of nonlinear parabolic equations
- date: 2018-07-31
- words: 4398
- flesch: 91
- summary: [a, b], or ∫x c ∫y c ut(t, z)dzdy − u(t, x) + u(t, c) + 3lBm + lM11m ≤ B. Note that S11(u)t(t, x) = −lut(t, x) + l ∫x 0 ∫y 0 ut(t, z)dzdy −l(u(t, x) − u(t, 0) − xux(t, 0))
- keywords: 7−→; boundary; classical; continuous; cubo; equation; existence; f(t; f(τ; integral; k11; new; nonlocal; problem; respect; solutions; theorem; u(t; u(τ; zennir; φ(x; φ(z; ∫x c
- versions: original; plain text
- cubo-2049
- author: Tyagi, B. K.; Luthra, Sheetal; Chauhan, Harsh V. S.
- title: On New Types of Sets Via γ-open Sets in (𝑎)Topological Spaces
- date: 2018-07-31
- words: 4935
- flesch: 91
- summary: The complements of (m, n)-semi-open set, (m, n)-γ-semi-open set and (m, n)-γ-P-semi-open set are (m, n)-semi-closed, (m, n)-γ-semi-closed and (m, n)-γ-P-semi-closed, respectively. Then U ∩ V 6= ∅ for every (a)-γ-P-semi-open set V containing y and (a)-γ-P-semi-open set U containing x.
- keywords: a)-γ; a)topological; closed; example; open; open set; proof; semi; set; sets; space; theorem; topologies; α∈λ
- versions: original; plain text
- cubo-2050
- author: Barro, Moussa; Guiro, Aboudramane; Ouedraogo, Dramane
- title: Optimal control of a SIR epidemic model with general incidence function and a time delays
- date: 2018-07-31
- words: 3803
- flesch: 66
- summary: Keywords and Phrases: SIR, general incidence, delays, optimal control, epidemic models, Hamiltonian. CUBO 20, 2 (2018) Optimal control of a SIR epidemic model with general incidence . .
- keywords: aboudramane; barro; conditions; control; cubo; delays; different; disease; dramane; epidemic; equations; existence; function; general; guiro; incidence; infected; model; moussa; necessary; numerical; optimal; optimal control; order; ouedraogo; population; problem; r(t; r(u1; recovered; section; set; sir; state; strategies; susceptible; time; treatment; u2(t; vaccination
- versions: original; plain text
- cubo-2051
- author: Otake, Shuichi; Shaska, Tony
- title: Some remarks on the non-real roots of polynomials
- date: 2018-07-31
- words: 10902
- flesch: 92
- summary: t1t 0 −(n − s)tst −(n − s + 1)ts−1t . . . − s)/n from the (1,1) entry x − s(n − s)/n or by taking (a25) all anti-diagonal entries.
- keywords: 1)t1; bezoutian; case; complex; cubo; degree; entries; entry; equation; f(t; f(x; fact; field; form; g(x; galois; group; j≤n; j≤s; k=0; lemma; matrix; non; number; odd; otake; polynomials; prime; proof; proposition; real; remarks; roots; row; rs+1; s(n; s)rst; shaska; shuichi; s−k; t21; term; theorem; tony; vector; − 1)t; − s)t1; ∣ ∣; ; ; ;
- versions: original; plain text
- cubo-2063
- author: Anastassiou, George A.
- title: Quantitative Approximation by a Kantorovich-Shilkret quasi-interpolation neural network operator
- date: 2019-03-15
- words: 2814
- flesch: 84
- summary: Let f ∈ C+ B ( R N,C ) , f = f1 + if2, N ∈ N, 0 < β < 1, x ∈ RN; n ∈ N with n1−β ≥ 3. http://dx.doi.org/10.4067/S0719-06462018000300001 2 George A. Anastassiou CUBO 20, 3 (2018) 1 Introduction The author here performs multivariate error function based neural network approximation to con- tinuous functions over RN, N ∈ N, and then he extends his results to complex valued functions.
- keywords: approximation; cubo; dµ(t; f(x; fdµ; function; k n; kantorovich; n f; neural; shilkret; sup; µ n; ∣ ∣; ∣ ≤
- versions: original; plain text
- cubo-2064
- author: Koike, Naoyuki
- title: Mean curvature flow of certain kind of isoparametric foliations on non-compact symmetric spaces
- date: 2019-03-15
- words: 6355
- flesch: 83
- summary: [ξ̃1, ẽλ i ] + θ̃[ξ1, θeλi ] ) (λ − λ1 ∈ △+) 1 2 cosh(||λ1||s0) If λi ∈ △+, then we have ||λi|| = √ 2 from how to choose the metric of G/K (see Introduction).
- keywords: aξiti; certain; compact; cosh(||λ1||s0; cubo; curvature; denote; exp(b; ẽλ; field; flow; foliation; following; i=1; isoparametric; kind; koike; leaf; leaves; lemma; mean; minimal; mλ∑; non; proof; space; symmetric; tangent; theorem; vector; xξ0,t1; ||λi||; γξ0
- versions: original; plain text
- cubo-2065
- author: Ballico, E.
- title: Postulation of general unions of lines and +lines in positive characteristic
- date: 2019-03-15
- words: 3199
- flesch: 90
- summary: Since kt + (k + 1)d + z = ( r+k−1 r ) and z ≤ k, we get (k + 1)k2 − k(k + 1) − k ≥ k ( r+k−1 r−1 ) − k ≥ (r − 1) ( r + k
- keywords: case; general; k−1; l(r; lines; proof; r+k−1; tangent; theorem; true; union
- versions: original; plain text
- cubo-2066
- author: Chandra Mandal, Yadab; Kumar Hui, Shyamal
- title: Yamabe Solitons with potential vector field as torse forming
- date: 2019-03-15
- words: 3271
- flesch: 86
- summary: S 0 parallel r − (n − 1){2a + 1 n π(τ)} = constant r − (n − 1){2a + 1 n π(τ)} S 0 torqued r − f − (n − 1){2a S 0 concircular r − f − (n − 1){2a + 1 n π(τ)}=constant r − f − (n − 1){2a + 1 n π(τ)}
- keywords: connection; constant; cubo; field; hui; math; metric; n −; respect; ricci; semisymmetric; soliton; theorem; torse; vector; yamabe; β −; γ(τ; π(τ
- versions: original; plain text
- cubo-2067
- author: Ardjouni, Abdelouaheb; Djoudi, Ahcene
- title: Study of global asymptotic stability in nonlinear neutral dynamic equations on time scales
- date: 2019-03-15
- words: 5928
- flesch: 90
- summary: such that for t ≥ T, max { |x (t)| , |x (t − τ2 (t))| , ∣∣∣x△̃ (t − τ1 (t)) ∣∣∣ } < ε. Lg |b (t)| |x (t)| + Lf |c (t)| ∣∣∣x△̃ (t − τ1 (t)) ∣∣∣ + L1 (t) |x (t)| + L2 (t) |x (t − τ2 (t))| . 58
- keywords: asymptotic; c1rd; cubo; djoudi; dynamic; equations; e⊖a; global; neutral; nonlinear; solution; stability; theorem; time; ∣∣∣
- versions: original; plain text
- cubo-2068
- author: Argyros, Ioannis K.; George, Santhosh
- title: Ball comparison between Jarratt’s and other fourth order method for solving equations
- date: 2019-03-15
- words: 4483
- flesch: 88
- summary: − p‖)‖x0 − p‖ ≤ ‖x0 − p‖, (2.17) so (2.10) holds for n = 0 and x1 ∈ U(p, R), where we also used the following estimates in the derivativation of (2.16): −I + 3 4 F′(y0) −1F′(x0) ω1(θ‖x − p‖)dθ‖x − p‖. (2.14)
- keywords: analysis; argyros; ball; bounds; comparison; conditions; convergence; cubo; equation; error; example; f(x; fourth; functions; f′(x0; f′(y0; george; ioannis; iterative; jarratt; local; mathematical; method; newton; order; radius; santhosh; set; solution; u(p; ω0(t; ω0(‖x0
- versions: original; plain text
- cubo-2069
- author: Bochi, Jairo
- title: The basic ergodic theorems, yet again
- date: 2019-03-15
- words: 5997
- flesch: 75
- summary: Silva and Thieullen deduce their Subadditive Ergodic Theorem Since Tn+1(x) 6∈ B and Tn+2(x) ∈ B, we have RB(T k(x))
- keywords: a.e; basic; birkhoff; bochi; case; cubo; ergodic; ergodic theorem; f+1; following; function; generalized; heaviness; heavy; inequality; integrable; invariant; jairo; kac; kingman; lemma; light; math; maximal; measurable; measure; n(x; points; positive; proof; result; rokhlin; sequence; set; skyscraper; subadditive; sweeping; theorem; theory
- versions: original; plain text
- cubo-2115
- author: M.I. Belishev; A.F. Vakulenko
- title: On algebraic and uniqueness properties of harmonic quaternion fields on 3d manifolds
- date: 2019-04-01
- words: 6848
- flesch: 79
- summary: = 1 , x ∈ Ω . Main result • Let Ω be a smooth compact oriented 3-dimensional Riemannian manifold with boundary, TΩx the tangent space at x ∈ Ω, u · v and u ∧ v the inner and vector products in TΩx.
- keywords: a.f.vakulenko; algebra; algebraic; banach; boundary; c(ω; case; continuous; controllability; cubo; d(ω̇; dimensional; div; fields; form; functions; g(b; harmonic; inverse; jets; lemma; m.i.belishev; manifold; mathematical; mean; method; metric; multiplication; n=1; note; point; problem; proof; properties; q(ω; quaternion; real; result; riemannian; rot; set; smooth; space; subspace; theorem; time; tωx; uniqueness; use; vector; wise; ∇wf
- versions: original; plain text
- cubo-2116
- author: Bagul, Yogesh J.; Chesneau, Christophe
- title: Some New Simple Inequalities Involving Exponential, Trigonometric and Hyperbolic Functions
- date: 2019-04-01
- words: 3791
- flesch: 79
- summary: Keywords and Phrases: Exponential function; trigonometric function; hyperbolic function. [14] Y. Lv, G. Wang and Y. Chu, A note on Jordan type inequalities for hyperbolic functions , Appl.
- keywords: available; bagul; bounds; chesneau; cos(x; cubo; doi; exponential; e−x; f(x; functions; h(x; hyperbolic; increasing; inequalities; inequality; lemma; lower; new; number; positive; proof; proposition; results; sharp; simple; sin(x; tanh(x; u(x; upper; volume
- versions: original; plain text
- cubo-2117
- author: Richard, S. ; Tiedra de Aldecoa, R.
- title: Commutator criteria for strong mixing II. More general and simpler
- date: 2019-04-01
- words: 4064
- flesch: 73
- summary: + ℓ(y) for all x,y ∈ X, (L4) if K ⊂ R+ is compact, then ℓ −1(K) ⊂ X is relatively compact. = { ϕ ∈ H | ‖ℓϕ‖ < ∞ } .
- keywords: adjoint; aldecoa; c1(a; commutator; compact; continuous; corollary; criteria; cubo; d(a; function; groups; hausdorff; left; length; lim; limit; mixing; net; operator; proof; proper; properties; property; representation; richard; self; set; strong; strong mixing; theorem; tiedra; topological; unitary; xj}j∈j; π(h)∗; ℓ(xj
- versions: original; plain text
- cubo-2118
- author: Haq, S. ; Nisar, K.S. ; Khan, A.H. ; Suthar, D.L.
- title: Certain integral Transforms of the generalized Lommel-Wright function
- date: 2019-04-01
- words: 3122
- flesch: 81
- summary: Also, we have the following relations of generalized Lommel Wright functions with trigonometric functions and the generalized Bessel function and Struve function: J1,11/2,0(z) = √ ( 2 πz ) sin(z) (1.9) J1,1−1/2,0(z) [20] A.K. Rathie, A new generalization of generalized hypergeometric function, Matematiche (Catania), 52(2), (1997), 297-310.
- keywords: certain; corollary; cubo; following; formula; fractional; function; generalized; integral; k.s; k=0; khan; lommel; nisar; transforms; wright; µ,m; γ(λ; ν+2λ
- versions: original; plain text
- cubo-2119
- author: Aissani, Khalida ; Benchohra, Mouffak ; Benkhettou, Nadia
- title: On Fractional Integro-differential Equations with State-Dependent Delay and Non-Instantaneous Impulses
- date: 2019-04-01
- words: 5770
- flesch: 85
- summary: − P(x)(τ2)‖ ≤ ‖Q(τ1 − si) − Q(τ2 − si)‖‖hi(si,xρ(si,xsi ) ,x(si))‖ + I1 + I2 + I3. − S((τ2 − s) qσ)‖dσds].
- keywords: aissani; banach; benchohra; benkhettou; case; continuous; cubo; c∗2; delay; dependent; differential; differential equations; equations; existence; fixed; fractional; function; impulses; impulsive; instantaneous; integro; khalida; let; mild; mouffak; nadia; new; non; point; r(t; s)a(s; set; solution; space; state; sup; theorem; ti+1; t∈j; xρ(τ; y(τ; α(a; ηt(s; τ)f(τ; φ)‖φ‖b;
- versions: original; plain text
- cubo-2120
- author: Raffoul, Youssef N. ; Yankson, Ernest
- title: Positive periodic solutions of functional discrete systems with a parameter
- date: 2019-04-01
- words: 3107
- flesch: 83
- summary: Keywords and Phrases: Functional difference system, Positive periodic solution, Eigenvalue, Population model 2010 AMS Mathematics Subject Classification: 39A10, 39A12. CUBO 21, 1 (2019) Positive periodic solutions of functional discrete systems . .
- keywords: 1,2; bj(s; cj(s; continuous; cubo; difference; eigenvalue; equations; functional; j=1; lemma; min; operator; periodic; positive; proof; raffoul; s=0; s=0 cj(s; solutions; system; theorem; u=0; x(n; xu)|; |fj(u; ∏ω−1; ∏ω−1 s=0
- versions: original; plain text
- cubo-2153
- author: Anastassiou, George A.
- title: Caputo fractional Iyengar type Inequalities
- date: 2019-08-10
- words: 4303
- flesch: 94
- summary: The right Caputo fractional derivative of order ν is defined as Dνb−f (x) = (−1) n Γ (n − ν) ∫b x (z − x) [ f(k) (a) (t − a) k+1 − f(k) (b) (t − b) k+1 ] } − γ (ν + 1)
- keywords: b −; f(k; k ∣; k=0; − n−1∑; ∣ f; ∣ ∣; ∣ ≤
- versions: original; plain text
- cubo-2154
- author: Jeyanthi, P.; Jeya Daisy, K. ; Semaničová-feňovčíková, Andrea
- title: \(Z_k\)-magic labeling of path union of graphs
- date: 2019-08-10
- words: 11503
- flesch: 100
- summary: , r − 2, f(u1r−1v 1 r−1) = k − a, f(v11u 1 2) = k − 2a, f(v1i u 1 i+1) = k − a, for i = 2, 3, . . . , r − 1 and n is even, f(uni u n i+1) = k − (r − 1)a, for i = 1, 3, . .
- keywords: b b; cubo; edge; f(u j; f(v; figure; graph; integers; j+1; k −; labeling; magic; mod; n r; odd; path; positive; r −; set; u j; u n; union; v j; v n; vertex
- versions: original; plain text
- cubo-2155
- author: Siddesha, M.S. ; Bagewadi, C.S. ; Nirmala, D.
- title: Totally umbilical proper slant submanifolds of para-Kenmotsu manifold
- date: 2019-08-10
- words: 2566
- flesch: 76
- summary: − η(Y)PX − η(Y)FX. the fact that X and PX are orthogonal vector fields on M, we arrive at cos2θ{−‖X‖2 + η2(X)}H = −g(PX, PX)ξ − η(X)P2X − η(X)FPX + P∇PXX + F∇PXX +AFXPX − ∇ ⊥ PXFX − ∇PXPX. Then applying (3.1) and (3.2), we obtain cos2θ{−‖X‖2 + η2(X)}H = cos2θ{‖X‖2 − η2(X)}ξ + cos2θη(X){X − η(X)}ξ − η(X)FPX +P∇PXX + F∇PXX + AFXPX − ∇ ⊥ PXFX − ∇PXPX. (3.4) Taking inner product with PX in (3.4), we get 0
- keywords: anti; c.s; contact; cos2θ{−‖x‖2; cubo; g(x; invariant; kenmotsu; m.s; manifold; metric; para; proper; slant; slant submanifolds; structure; submanifolds; umbilical; vector; γ(tm; σ(x
- versions: original; plain text
- cubo-2158
- author: Lampret, Vito
- title: The perimeter of a flattened ellipse can be estimated accurately even from Maclaurin’s series
- date: 2019-08-10
- words: 4529
- flesch: 87
- summary: π 2 0 √ 1 − ǫ2 sin2(τ) dτ = π(a + b) 4a ( 1 + ∞∑ i=1 w2i (2i − 1)2 λ2i ) ( λ = a − b a + b ) , where the series on the right converges slightly faster than the series in (3.3). − ǫ2 ( 2ǫ + (1 − ǫ2) ln ( 1 + ǫ 1 − ǫ )) > 0
- keywords: appl; approximation; cubo; ellipse; estimate; flattened; formula; functions; i=1; lampret; lim; maclaurin; math; p(a; perimeter; qn(a; ratio; series; w2i; wallis; ǫ2i
- versions: original; plain text
- cubo-2159
- author: Ammar, Aymen ; Jeribi, Aref; Mahfoudhi, Kamel
- title: Generalized trace pseudo-spectrum of matrix pencils
- date: 2019-08-10
- words: 3438
- flesch: 87
- summary: Let U, V ∈ Mn(C), then the set of all eigenvalues of the matrix pencils of the form λV Let U, V ∈ Mn(C) and 0 < ε < 1.
- keywords: ammar; cubo; eigenvalues; form; generalized; jeribi; mahfoudhi; matrix; mn(c; pencils; proof; pseudo; pseudospectrum; q.e.d; set; spectrum; theorem; trace; trε(u; |tr(λv; φ(ε; ϕ(ε; ∈ c
- versions: original; plain text
- cubo-2160
- author: Kumar Yadav, Sunil ; Kushwaha, Abhishek ; Narain, Dhruwa
- title: Certain results for η-Ricci Solitons and Yamabe Solitons on quasi-Sasakian 3-Manifolds
- date: 2019-08-10
- words: 7340
- flesch: 80
- summary: Kim [22] studied quasi-Sasakian manifold and proved that fibred Rieman- nian spaces with invariant fibers normal to the structure vector field do not admit nearly Sasakian or contact structure but a Sasakian or cosymplectic structure. [7], proved that there are no quasi-Sasakian structure of even rank, some theorems regarding Kaehlerian manifolds and existence of quasi-Sasakian manifold.
- keywords: abhishek; certain; condition; constant; contact; corollary; cosymplectic; cubo; curvature; cyclic; dhruwa; dimensional; equation; field; flow; following; g(u; g(v; kushwaha2; manifold; math; non; notion; parallel; proper; pseudo; quasi; results; ricci; ricci soliton; ricci tensor; riemannian; sasakian; sasakian manifold; scalar; section; soliton; special; structure; symmetric; tensor; theorem; type; v)ζ; vector; yadav1; yamabe; χ(m; −β2
- versions: original; plain text
- cubo-2216
- author: Sudo, Takahiro
- title: The K-theory ranks for crossed products of C*-algebras by the group of integers
- date: 2020-01-08
- words: 2893
- flesch: 82
- summary: the torsion rank of G, which is defined to be the number of direct sum components of indecomposable, finite cyclic groups in G. Set tj(A) = t(Kj(A)) for j = 0, 1, each of which we may call the j-th torsion rank of A. Recall as a fundament fact in group theory that a finitely generated abelian group H has the following direct product decomposition: H ∼= Z b(H) × For instance, there is a quotient map from G = Z to Z2 = Z/2Z, with H = 2Z, so that t(H) = t(G)
- keywords: abelian; b(g; b1(a; bj(a; crossed; cubo; c∗-algebras; direct; discrete; exact; free; group; map; nilpotent; product; ranks; semi; successive; sudo; t(g; theory; torsion; voiculescu; ⋊α(1
- versions: original; plain text
- cubo-2217
- author: Hodges, Wilfrid; Shelah, Saharon
- title: Naturality and definability II
- date: 2020-01-08
- words: 6682
- flesch: 77
- summary: ∈ P such that for all i ∈ S, pi i, every map α j f,g : λ++ → Aut(A) is constant on [i,λ++); (c) for all i,j ∈ S, ti = tj; (d) there is a condition p⋆
- keywords: algebraic; aut(a; aut(b; automorphism; class; construction; cubo; definability; definable; definition; domain; elements; example; formula; generic; graph; group; hodges; homomorphism; isomorphism; lemma; map; model; natural; naturality; neat; parameters; proof; rigid; saharon; section; set; shelah; small; splitting; structure; theorem; theory; transitive; uniformisable; unitype; weakly; wilfrid; zfc; λ++)3
- versions: original; plain text
- cubo-2218
- author: Anastassiou, George A.
- title: Ostrowski-Sugeno fuzzy inequalities
- date: 2020-01-10
- words: 3266
- flesch: 92
- summary: We notice that f (t) = f (t) − f (x) + f (x) ≤ |f (t) − f (x)| + f (x) , then (by Theorem 2.3 (3) and Theorem 2.4 (4)) (S) ∫
- keywords: fdµ; fuzzy; measure; ostrowski; sugeno; theorem; ∣ ∣; ∣ ≤
- versions: original; plain text
- cubo-2219
- author: Raffoul, Youssef N
- title: Stability and boundedness in nonlinear and neutral difference equations using new variation of parameters formula and fixed point theory
- date: 2020-01-20
- words: 7514
- flesch: 89
- summary: − c(t0 − 1)x(t0 − g(t0)) ] t−1 ∏ s=t0 v(s) + − g(y)| = |x − x3 −
- keywords: a(r; a(s; boundedness; condition; contraction; cubo; difference; equations; function; large; mapping; new; nonlinear; parameters; point; proof; r+1; raffoul; set; solution; stability; stable; t ∏; t0 v(s; t1−1; theorem; t−t; unique; v(r; v(s; v(t; variation; v−1(s; x(t; youssef; ∣ +; ∣ t−1; ∣ ∣; ∣ ≤
- versions: original; plain text
- cubo-2220
- author: Majhi, Pradip; Kar, Debabrata
- title: Beta-almost Ricci solitons on Sasakian 3-manifolds
- date: 2020-01-20
- words: 3429
- flesch: 77
- summary: Más aún, probamos que este tipo de variedades son isométricas a una esfera de radio √ 7. Keywords and Phrases: Ricci soliton, β-almost Ricci soliton, Sasakian 3-manifolds, Einstein. 2010 AMS Mathematics Subject Classification: 53C15, 53C25. We recall the notion of Ricci soliton according to [5].
- keywords: constant; contact; contact vector; cubo; curvature; einstein; equation; field; manifolds; math; metric; non; potential; ricci; ricci soliton; sasakian; soliton; structure; tensor; theorem; trivial; vector; vector field
- versions: original; plain text
- cubo-2221
- author: Sanou, Rodrigue; Ibrango, Idrissa; Koné, Blaise; Guiro, Aboudramane
- title: Weak solutions to Neumann discrete nonlinear system of Kirchhoff type
- date: 2020-01-20
- words: 4581
- flesch: 85
- summary: [ min 1≤i≤n (ηi) ( n∑ i=1 T+1∑ k=1 |∆ui(k − 1)| p(k−1) )α − max 1≤i≤n (νi) ] − β n∑ i=1 T∑ k=1 |ui(k)| ri(k) − βnT ≥ − B1 α(p+)α max 1≤i≤n (νi) − β n∑ i=1 T∑ k=1 |ui(k)| ri(k) − βnT ≥ − B1 α(p+)α max 1≤i≤n (νi) − β n∑ i=1 T∑ k=1 |ui(k)| r− − β n∑ i=1 T∑ k=1 |ui(k)| r+ − βnT. Using (2.16) J(u) ≥ − B1 α(p+)α max 1≤i≤n (νi) − δ0β n∑ i=1 T∑ k=1 |ui(k)| ri(k) − δ0βnT.
- keywords: 1)|; a(k −; cubo; discrete; existence; following; functional; i(u; i=1; j(u; k=1; k=1 a(k; kirchhoff; max; min; neumann; nonlinear; n∑ i=1; positive; problem; solutions; system; t+1∑ k=1; t∑ k=1; u(k; weak; z[0; α(p+)α; ∆ui(k −; − βnt; ≥ −
- versions: original; plain text
- cubo-2222
- author: Das, B. C.; De, Soumen; Mandal, B. N.
- title: Wave propagation through a gap in a thin vertical wall in deep water
- date: 2020-01-20
- words: 4389
- flesch: 64
- summary: − 1 2 ) as y → a + 0, O ( (b − y) − 1 2 ) as y → b − 0, (2.1a) and CUBO 21, 3 (2019) Wave propagation through a gap in a thin vertical wall in deep water 97 g(y) = O ( (a − y) 1 2 ) as y → a − 0, O ( (y − b) 1 2 ) as y → b + 0. (2.1b)
- keywords: bounds; coefficients; cubo; das; deep; different; equations; figure; galerkin; gap; incidence; increases; integral; mandal; method; normal; numerical; present; problem; reflection; results; scattering; submerged; surface; term; thin; transmission; upper; values; vertical; wall; water; wave; wavenumber; |r|
- versions: original; plain text
- cubo-2253
- author: Dragomir, Silvestru Sever
- title: Bounds for the generalized \( (\Phi;f) \)-mean difference
- date: 2020-04-17
- words: 7443
- flesch: 90
- summary: If Φ = e, where e (t) = t, t ∈ R is the identity mapping, then we can consider the particular cases of interest, the generalized f-mean difference RG (f; w) := RG (e, f; w) = 1 2 ∫ Ω ∫ Ω w (x) w (y) |f (x) − f (y)| dν (x) dν (y) (1.3) and the generalized f-mean deviation MD (f; w) := MD (e, f; w) = ∫ Ω w (x) |f (x) − E (f; w)| dν (x) , (1.4) where E (f; w) := ∫ Ω f (y) w (y) dν (y) is the generalized f-expectation. (y)| ≤ ‖Φ′‖ [a,b],∞ |f (x) − f (y)| if p = ∞, ‖Φ′‖[a,b],p |f (x) − f (y)| 1/q if p > 1, 1 p + 1 q = 1 (3.9) for any x, y ∈ Ω.
- keywords: a)|; b],p; bounds; convex; cubo; difference; dragomir; f)-mean; function; generalized; gini; inequality; integral; math; mean; measurable; − ∫; ∣ ∣; ∣ ≤
- versions: original; plain text
- cubo-2254
- author: Pahan, Sampa
- title: \( \eta \)-Ricci Solitons on 3-dimensional Trans-Sasakian Manifolds
- date: 2020-04-17
- words: 4293
- flesch: 81
- summary: [ r 2 − (α2 − β2 − ξβ)]g(X, Y) − [ r 2 − 3(α2 − β2) + ξβ]η(X)η(Y) = (α2 − β2)(η(X)ξ − X), (2.10) S(X, ξ) = 2(α2 − β2)η(X), (2.11) R(ξ, X)Y = (α2 − β2)(g(X, Y)ξ
- keywords: 2(β2; condition; constants; cubo; dimensional; dimensional trans; einstein; equation; field; g(x; manifold; metric; pahan; ricci; ricci soliton; s(x; s(ξ; sasakian; sasakian manifold; satisfying; solitons; symmetric; tensor; theorem; trans; vector; z)ξ
- versions: original; plain text
- cubo-2255
- author: Hidalgo, Rubén A.
- title: A sufficiently complicated noded Schottky group of rank three
- date: 2020-04-17
- words: 6544
- flesch: 74
- summary: J. 42 (1975), 717–724. Introduction Sufficiently complicated Noded Schottky groups Noded Schottky groups The extended region of discontinuity Neoclassical noded Schottky groups Sufficiently complicated noded Schottky groups The relative conical neighbourhood of a noded Schottky group Pinchable loops of Schottky groups Sufficiently complicated noded Schottky groups Explicit construction of a sufficiently complicated noded Schottky group A family Schottky groups of rank three A sufficiently complicated noded Schottky groups of rank three Non-classical Schottky groups of rank three The idea is to consider certain Kleinian groups, obtained as geometrically finite algebraic limits of Schottky groups of rank g, called sufficiently complicated noded Schottky groups of rank g (see Section 2).
- keywords: boundary; classical; classical schottky; complicated; corresponding; cubo; discontinuity; disjoint; elements; figure; fixed; fundamental; generators; genus; geodesics; geometrical; group; hidalgo; intersection; kleinian; loops; maskit; math; maximal; noded; noded schottky; non; parabolic; pinchable; point; rank; rank g; region; riemann; schottky; schottky group; set; simple; stable; surface; theorem; transformations
- versions: original; plain text
- cubo-2256
- author: Nisha, Shwet ; Parida, P. K.
- title: Super-Halley method under majorant conditions in Banach spaces
- date: 2020-04-18
- words: 5328
- flesch: 80
- summary: − xk+1‖ ≤ − 1 (1 − Lφ(tk))φ ′(tk) − γ‖x − x̄‖)3 − 2γ (1 − γ‖x − x̄‖)3 , γ > 0
- keywords: analysis; appl; assumptions; banach; conditions; convergence; converges; cubo; following; follows; function; halley; halley method; initial; kantorovich; lemma; local; lφ(t; majorant; math; method; newton; order; point; results; satisfies; sequence; smale; solution; spaces; super; theorem; tk+1; type; xk+1‖; φ(t; ‖x̄
- versions: original; plain text
- cubo-2257
- author: Divyashree, G.; Venkatesha
- title: Certain results on the conharmonic curvature tensor of \( (\kappa,\mu) \)-contact metric manifolds
- date: 2020-04-18
- words: 3987
- flesch: 79
- summary: − g(Y, Z)η(X)]}ξ +κ{g(Y, φZ)φhX − g(X, φZ)φhY + g(Z, φhY)φX −g(Z, φhX)φY + η(Z)[η(X)hY − η(Y)hX]} −µ{η(Y)[(1 − − η(Z){(1 − κ)[η(X)g(φY, T) − η(Y)g(φX, T)] +(1 − µ)[η(X)g(φhY, T) − η(Y)g(φhX, T)]} − 1 2n − 1 [S(Y, φZ)g(X, T) −S(X, φZ)g(Y, T) + g(Y, φZ)g(QX, T) − g(X, φZ)g(QY, T) − S(Y, Z)g(φX, T) +S(X, Z)g(φY, T) − g(Y, Z)g(QφX, T) + g(X, Z)g(QφY, T)]
- keywords: conharmonic; contact; cubo; curvature; einstein; flat; following; g(x; g(y; m2n+1; manifold; metric; metric manifold; n(2κ; n(x; non; r(x; riemannian; s(x; sasakian; semisymmetric; tensor; theorem; y)z; z)g(w; z)x; z)η(x; φx)ξ
- versions: original; plain text
- cubo-2258
- author: Ouaro, Stanislas; Sawadogo, Noufou
- title: Nonlinear elliptic \(p(u)-\) Laplacian problem with Fourier boundary condition
- date: 2020-04-18
- words: 12687
- flesch: 88
- summary: Moreover, a satisfies: for all bounded subset K of R × RN, there exists a constant C(K) such that a.e. x ∈ Ω, for all (z, η), (z̃, η) ∈ K, |a(x, z, η) − a(x, z̃, η)| ≤ C(K)|z − z̃|. Ω → [p−, p+] has a representative which can be extended into a continuous function up to the boundary ∂Ω and satisfying the log-Hölder continuity assumption: ∃L > 0, ∀x, y ∈ Ω, x 6= y, − ( log |x − y| ) |π(x) − π(y)| ≤ L. (2.1) i)
- keywords: + ∫; = ∫; a(u; a(x; a.e; b(u)tk(u; boundary; continuous; convergence; converges; cubo; elliptic; entropy; equi; existence; exponent; following; fourier; function; hand; inequality; inf; integrable; laplacian; lebesgue; lemma; lim; lπ(.)(ω; meas(ω; measurable; measure; nonlinear; noufou; n→+∞; ouaro; p(u)−; problem; proof; proposition; results; right; sawadogo; sequence; solution; space; stanislas; term; th(v))dx; theorem; tk(u; type; u(x; un(x; uniqueness; v)dx; variable; weak; weakly; young; ||f||l1(ω; π(x; ϕ)dx; ϕ)dσ; − ϕ; − ∫; ∣ ∣; ∣ ∫; ∫ ω×rn; ≤ ∫;
- versions: original; plain text
- cubo-2259
- author: Boucenna, Djalal; Ben Makhlouf, Abdellatif; Hammami, Mohamed Ali
- title: On Katugampola fractional order derivatives and Darboux problem for differential equations
- date: 2020-04-18
- words: 4492
- flesch: 84
- summary: = x1−ρ1y1−ρ2ρ α1 1 ρ α2 2 Γ (1 − α1) Γ (1 − α2) D 2 x,y ∫ x a + 1 ∫ y a + 2 sρ1−1tρ2−1 (xρ1 − sρ1) α1 (yρ2 − tρ2) α2 ×u (s,t)dtds. x a + 1 ∫ y a + 2 sρ1−1tρ2−1 (xρ1 − sρ1) 1−α1 (yρ2 − tρ2) 1−α2 dtds ≤ M Γ (α1 + 1) Γ (α2 + 1) ( xρ1 − a ρ1 1 ρ1 )α1 ( yρ2 − a ρ2 2 ρ2 )α2 ≤ M ρ α1 1 ρ α2 2 Γ (α1 + 1) Γ (α2 + 1) h ρ1α1 1 h ρ2α2 2 ≤ M ρ α1 1 ρ α2 2 Γ (α1 + 1) Γ (α2 + 1) h α1 1 h α2 2 ≤ M ρ α1 1 ρ α2 2 Γ (α1 + 1) Γ (α2 + 1) kρ α1 1 ρ α2 2 Γ (α1 + 1) Γ (α2 + 1) M ≤ k. 132 Djalal Boucenna, Abdellatif Ben Makhlouf & Mohamed Ali Hammami CUBO 22, 1 (2020)
- keywords: a1,a2; caputo; cubo; darboux; derivative; differential; dtds; equations; existence; fractional; function; katugampola; order; problem; solutions; sρ1−1tρ2−1; theorem; uniqueness; xρ1; yρ2
- versions: original; plain text
- cubo-2260
- author: Barro, Moussa; Traoré, Sado
- title: Level sets regularization with application to optimization problems
- date: 2020-04-18
- words: 5966
- flesch: 81
- summary: Let U = V = R, c the standard product of R. The indicator function of R∗,i R ∗ is (c,P3)−level regular but not quasi-convex. There exists s ∈ R such that h〈〉c,P(a) >
- keywords: application; a〉c,1; c(a; c(u; closed; conjugacy; convex; coupling; cubo; definition; duality; epv; example; extended; follows; function; h(u; hull; inf; level; max; optimization; p v; p)−level; proof; proposition; real; regularization; set; sets; space; subset; sup; theorem; topological
- versions: original; plain text
- cubo-2360
- author: Sow, T.M.M.
- title: A new iterative method based on the modified proximal-point algorithm for finding a common null point of an infinite family of accretive operators in Banach spaces
- date: 2020-08-22
- words: 7968
- flesch: 85
- summary: − ηAp‖‖xn − p‖ Thus, for every k ∈ N∗, we get (1 − ταn) 2βn,0βn, ‖x − y‖q − qtη〈Ax −
- keywords: accretive; algorithm; banach; closed; constant; continuous; convex; cubo; dql; duality; equilibrium; family; following; hilbert; inequality; inf; infinite; iterative; j(x∗; lemma; lim; lipschitzian; mapping; method; monotone; new; nonempty; nonexpansive; n→∞; operators; point; problems; proximal; qηq−1; real; sequence; smooth; solution; sow; space; subset; theorem; variational; γf(x∗; ηax∗; ηαna)yn
- versions: original; plain text
- cubo-2362
- author: Arora, Ruchi; Kumar, Dharmendra; Jhamb, Ishita; Kaur Narang, Avina
- title: Mathematical Modeling of Chikungunya Dynamics: Stability and Simulation
- date: 2020-08-22
- words: 7775
- flesch: 68
- summary: UE = (U1,U2,U3,U4,U5,U6,U7,U8) T where U1 = ( −βBHZ ∗∗ NH + βBHZ ∗∗ S ∗∗ (NH)2 − ζ, βBHZ ∗∗ S ∗∗ (NH)2 , βBHZ ∗∗ S ∗∗ (NH)2 , βBHZ ∗∗ S ∗∗ (NH)2 , βBH Z ∗∗ S ∗∗ (NH)2 ,0,0, −βBHS ∗∗ NH ) , U2 = ( 0, −βBHZ ∗∗ S ∗∗ (NH)2 − α − ζ, −βBHZ ∗∗ S ∗∗ (NH)2 , −βBHZ ∗∗ S ∗∗ (NH)2 , −βBHZ ∗∗ S ∗∗ (NH)2 ,0,0, βBHS ∗∗ NH ) , U3 = (0,0,−γ − ζ − ζ1,0,0,0,0,0), U4 = (0,0,0,−λ − ζ − ζ2,0,0,0,0) , U5 = (0,0,0,0,−ζ,0,0,0), U6 = ( 0,0,0,0,0,− νBM(I ∗∗+R ′ ∗∗) NH − κ,0,0 ) , U7 = (0,0,0,0,0,0,−κ − ψ,0) , U8 = (0,0,0,0,0,0,0,−κ) α −γ − ζ − ζ1 0 0 0 0
- keywords: 0,0; aedes; arora; avina; change; chikungunya; control; cubo; death; dfe; dharmendra; disease; dynamics; endemic; epidemic; equilibrium; existence; fig; figure; free; human; human population; infected; infection; ishita; jhamb; journal; kaur; kumar; lim; mathematical; matrix; model; modeling; mosquito; nh(t; nh)2; number; period; phase; population; rate; recovered; recovery; recuperation; reproduction; ruchi; section; stability; stable; susceptible; symptoms; time; total; transmission; t→∞; virus; βbhz; ζnh; νbm; ∗∗+r;
- versions: original; plain text
- cubo-2363
- author: Seshagiri Rao, N.; Kalyani, K.; Khatri, Kejal
- title: Contractive mapping theorems in Partially ordered metric spaces
- date: 2020-08-22
- words: 4986
- flesch: 82
- summary: Suppose that the self- mappings f and T on X are continuous, T is a monotone f-nondecreasing, T (X) ⊆ f(X) and satisfying the following condition d(T x, T y) ≤ α d(fx, T x) d(fy, T y) d(fx, fy) Suppose that the self- mappings f and T on X are continuous, T is a monotone f-nondecreasing, T (X) ⊆ f(X) and satisfying the following condition d(T x, T y) ≤ α d(fx, T x) d(fy, T y) d(fx, fy)
- keywords: coincidence; common; compatible; complete; condition; contraction; d(fx; d(fy; d(t; d(t x; f(x; f(x0; fixed; mappings; math; metric; monotone; nondecreasing; point; results; self; sequence; set; spaces; t x; t xn; t y; theorem
- versions: original; plain text
- cubo-2364
- author: Kamal, A.; Yassen, T.I.
- title: D-metric Spaces and Composition Operators Between Hyperbolic Weighted Family of Function Spaces
- date: 2020-08-22
- words: 5627
- flesch: 87
- summary: − |z|2)αp−2(1 − |ϕa(z)| 2)sdA(z) = sup a∈D ℓp(a) ∫ D (f∗(φ(z)))p|φ′(z)|αp−2(1 − |ϕa(z)| 2)sdA(z) ≤ ||f|| p B∗ α, log sup a∈D ℓp(a) ∫ D |φ′(z)|p(1 − |z|2)αp−2(1 − |ϕa(z)| 2)s (1 − |φ(z)2|)pα(log 2 1−|z|2 ) dA(z) = ||f|| p B∗ α, log Φφ(α, p, s; a) < − |z|2)αp−2(1 − |ϕa(z)| 2)sdA(z)
- keywords: a∈d; b∗α; compact; complete; composition; cubo; definition; following; function; f∗(z))p(1; kamal; log; log(p; metric; operators; space; sup; z∈d; |a|2; |z|2)αp−2(1; |ϕa(z)|; ℓp(a
- versions: original; plain text
- cubo-2365
- author: Govindan, Vediyappan; Park, Choonkil; Pinelas, Sandra; Rassias, Themistocles M.
- title: Hyers-Ulam stability of an additive-quadratic functional equation
- date: 2020-08-22
- words: 7904
- flesch: 87
- summary: x2 ∈ X. Letting x2 = 0 in (2.9), we have 2g(ax1) − cx3 − bx2) + 4g(bx2) (3.9) for x1, x2, x3 ∈ X.
- keywords: a(x)‖; additive; bx2; case; cubo; cx3; equation; fixed; functional; g(ax1; g(x; hyers; mapping; math; method; point; proof; q(x)‖; quadratic; rassias; replacing; satisfies; stability; theorem; ulam; unique; x3 ∈; β(x; ∥ ∥;
- versions: original; plain text
- cubo-2366
- author: S.V., Vishnuvardhana; Venkatesha
- title: Results on para-Sasakian manifold admitting a quarter symmetric metric connection
- date: 2020-08-23
- words: 5077
- flesch: 78
- summary: With the help of linearity property of φ and g, we have η(E1) = 1, φ2V = V − η(V )E1, g(φX, φY ) = g(X, Y ) From the above expressions and the relation of quarter symmetric metric connection and Riemannian connection, one can easily obtain the following: ∇̃E1E1 ∇̃E1E2 ∇̃E1E3 ∇̃E1E4 ∇̃E1E5 ∇̃E2E1 ∇̃E2E2 ∇̃E2E3 ∇̃E2E4 ∇̃E2E5 ∇̃E3E1 ∇̃E3E2 ∇̃E3E3 ∇̃E3E4 ∇̃E3E5 ∇̃E4E1 ∇̃E4E2 ∇̃E4E3 ∇̃E4E4
- keywords: connection; cubo; curvature; dimensional; e3)e3; e5)e5; field; manifold; metric connection; para; projectively; pseudosymmetric; quarter; r(e1; r(e2; respect; results; ricci; riemannian; r̃(x; sasakian; sasakian manifold; symmetric; symmetric metric; tensor; theorem;
- versions: original; plain text
- cubo-2367
- author: Saluja, G. S.
- title: Fixed point theorems on cone \(S\)-metric spaces using implicit relation
- date: 2020-08-23
- words: 5633
- flesch: 87
- summary: [8] L.-G. Huang and X. Zhang, Cone metric spaces and fixed point theorems of contractive map- pings, J. Math. ≤ d(x,y) for all x,y ∈ X with x 6= y and d(x,y) = 0 ⇔ x = y; (CM2) d(x,y) = d(y,x) for all x,y ∈ X; (CM3) d(x,y) ≤
- keywords: complete; condition; cone; cone metric; cone s; constant; continuous; contractive; corollary; cubo; example; following; implicit; lemma; mappings; math; metric; metric spaces; normal; point; relation; results; s(x; s(xn; satisfies; sedghi; sequence; spaces; theorems; tyn; xn+1; z,0; φ(x
- versions: original; plain text
- cubo-2464
- author: Sabet, M.; Sanati, R. G.
- title: Topological algebras with subadditive boundedness radius
- date: 2020-12-07
- words: 3431
- flesch: 75
- summary: whenver x, y ∈ A, The boundedness radius β is said to be subadditive, if for each x, y ∈ A, β(x + y) ≤ β(x) + β(y).
- keywords: algebra; banach; boundedness; commutative; complete; continuous; convex; cubo; lemma; norm; proof; radius; satisfies; sequential; subadditive; submultiplicative; theorem; topological; topological algebra; topology; vol; |α|; β(x
- versions: original; plain text
- cubo-2466
- author: Jeyanthi, P.; Philo, S.
- title: Odd Harmonious Labeling of Some Classes of Graphs
- date: 2020-12-07
- words: 7418
- flesch: 96
- summary: mi − j, if i is odd and j is even, 308 P. Jeyanthi and S. Philo CUBO 22, 3 (2020) f(u j i ) = mi − j − 2 and i is odd, f(vi,j) = 2(3m − j − 1)
- keywords: 2(2; 2mi −; edge; f(u; figure; graph; harmonious; induced; jeyanthi; labeling; mi −; n −; odd; philo; q q; r r; tree; vertices; vol; − j
- versions: original; plain text
- cubo-2467
- author: Abdul Khayyoom, M. Mohammed
- title: Characterization of Upper Detour Monophonic Domination Number
- date: 2020-12-07
- words: 4169
- flesch: 79
- summary: If M is a minimal DMD set of G, then each component of G − v have an element of M. Proof. That is, each component of G − v have an element of every minimal DMD set.
- keywords: cardinality; connected; detour; detour monophonic; dmd; dominating; extreme; graph; minimal; minimum; monophonic; monophonic set; number; path; proof; set; sets; upper; vertex; vertices; γdm(g
- versions: original; plain text
- cubo-2468
- author: Dhage, Bapurao C.
- title: Existence and Attractivity Theorems for Nonlinear Hybrid Fractional Integrodifferential Equations with Anticipation and Retardation
- date: 2020-12-07
- words: 9834
- flesch: 81
- summary: ∣ ∣ − m ∑ j=1 Iαj hj(t,x(t),x(η(t))) ∣ ∣ ∣ ∣ ≤ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ f(t,x(t),x(θ(t))) ∣ ∣ ∣ ( ∣ ∣ ∣ a(t0)x0 f(t0,x0,x0) ∣ ∣ ∣ − a(t0)x0 f(t0,x0,x0) ) a(t) ∣ ∣ ∣ ∣ ∣ + ∣ ∣ ∣ f(t,x(t),x(θ(t))) ∣ ∣ ∣ × × ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ a(t) ∣ ∣ − hj(t,x(t),x(η(t))) ∣ ∣ ∣ ≤ [ 4(L + F) ∣ ∣ ∣ a(t0)x0 f(t0,x0,x0) ∣ ∣ ∣ ] a(t)
- keywords: attractive; attractivity; bapurao; bc(j∞,r; br(0; caputo; continuous; cubo; definition; dhage; differential; equation; existence; f(t0,x0,x0; following; fractional; function; global; hfrigde; hybrid; iαj ∣; j=1; lim; mgw; mild; nonlinear; operator; point; real; results; s)q−1; solutions; sup; t t0; t0 ∣; theorem; t∈j∞; unbounded; vol; w(t; x(t; × ∣; γ(αj; ∣ =; ∣ a(t0)x0; ∣ ds; ∣ f(t; ∣ ×; ∣ ‖a‖; ∣ −; ∣ ∣; ∣ ∣f(s; ∣ ∣hj(t; ∣ ∫; ∣ ≤; ≤ ∣;
- versions: original; plain text
- cubo-2469
- author: Oli, Abdi; Tilahun, Kelelaw; Reddy, G. V.
- title: The Multivariable Aleph-function involving the Generalized Mellin-Barnes Contour Integrals
- date: 2020-12-07
- words: 2948
- flesch: 85
- summary: Keywords and Phrases: Hypergeometric function, Multivariable Aleph function. [1]. (3) Also, multivariable Aleph function reduces to multivariable H-function with some suitable parameters;we get the known result due to Daiya et al.
- keywords: 4αβ; aleph; function; generalized; i(1; i(r; j=1; k=1; multivariable; vol; ∣ ∣
- versions: original; plain text
- cubo-2470
- author: Aouane, Abdeldjalil; Djebali, Smaïl ; Taoudi, Mohamed Aziz
- title: Mild solutions of a class of semilinear fractional integro-differential equations subjected to noncompact nonlocal initial conditions
- date: 2020-12-07
- words: 5617
- flesch: 81
- summary: t ∈ t ∈
- keywords: 1,2; abdeldjalil; aouane; aziz; banach; br0; c([0,a];e; class; conditions; continuous; cosine; cubo; cβ(t; definition; differential; djebali; equations; existence; f(t; family; fixed; following; fractional; function; i=1; lemma; lim; maa; makq; measure; mild; mohamed; n=1; noncompactness; nonlocal; operator; order; p(u; point; problem; results; semilinear; smäıl; solutions; space; subset; sup; taoudi; theorem; vol; β t; β−1; γ(β; ω(r;
- versions: original; plain text
- cubo-2471
- author: Ballico, Edoardo
- title: Curves in low dimensional projective spaces with the lowest ranks
- date: 2020-12-07
- words: 8386
- flesch: 89
- summary: Then there is C ∈ |h + f| such that q ∈ 〈C〉. Proof. Take C ∈ |h + f| such that q ∈ 〈C〉.
- keywords: 1)|; assume; component; connected; cubo; curve; degree; dim; dimensional; general; integer; integral; irreducible; lemma; line; nodal; nodes; non; plane; points; positive; projective; proof; remark; scheme; set; singular; smooth; sufficient; tangent; theorem; |oq(1; |oq(a
- versions: original; plain text
- cubo-2474
- author: Weber, Brian
- title: Toric, \(U(2)\), and LeBrun metrics
- date: 2020-12-08
- words: 5958
- flesch: 77
- summary: (3.9) A LeBrun ansatz expression of g is obtained by setting u = log detUij = log ( U11U22 − (U12)2 ) , w = 1 U11 , and A = Aydy = U12 U11 dy (3.10) (the components Ax and Az are zero). Toric, U(2), and LeBrun metrics 409 References [1] M. Abreu, “Kähler geometry of toric varieties and extremal metrics”, International Journal of Mathematics, vol. 9, pp.
- keywords: ansatz; brian; compact; complex; condition; construction; coordinates; corresponding; cubo; curvature; differential; dy2; einstein; equations; exceptional; extremal; field; flat; form; functions; geometry; half; holomorphic; invariant; kähler; killing; lebrun; lebrun ansatz; manifolds; metric; page; potential; proof; proposition; scalar; structure; symmetry; symplectic; toric; u(2; variable; vol; weber; weu; −1dy
- versions: original; plain text
- cubo-2594
- author: Souza, Luciano; de O. Júnior, Wilson Rosa; de Brito, Cícero Carlos R.; Chesneau, Christophe; Fernandes, Renan L.; Ferreira, Tiago A. E.
- title: Tan-G class of trigonometric distributions and its applications
- date: 2021-04-13
- words: 6753
- flesch: 71
- summary: The Shannon entropy, pioneered by [15], is given by SG = − ∫ With similar arguments, if x∗∗ denotes a critical point for RG(x), then it satisfies the following equation: {ln[RG(x)]} ′ |x=x∗∗ = 0, i.e.,[ g(x)′ |x=x∗∗ + π 2 g(x∗∗) 2 tan (π 4 G(x∗∗) )]
- keywords: = +; applications; brito; bxii; cdf; chesneau; class; cubo; data; distribution; entropy; expansion; ferreira; figure; function; g class; g(x; general; hg(x; i=1; k=1; kum; likelihood; maximum; mles; model; moments; new; order; parameters; plots; probability; proof; r=0; s s; sample; sizes; souza; statistical; table; tan; theorem; trigonometric; vol; κ =; κ(j
- versions: original; plain text
- cubo-2596
- author: Kaboré, A.; Ouaro, S.
- title: Anisotropic problem with non-local boundary conditions and measure data
- date: 2021-04-13
- words: 14428
- flesch: 90
- summary: D (Ω̃) and∫ Ω̃ N∑ i=1 ãi(x, ∂ ∂xi u�) ∂ ∂xi ξ̃dx + ∫ Ω |u�|pM (x)−2u�ξ̃dx = ∫ Ω f�ξ̃dx + ∫ Ω F.∇ξ̃ + ∫ Γ̃Ne (d̃� − ρ̃(u�))ξ̃dσ, (3.3) for any ξ̃ ∈ W 1,~p(.)D (Ω̃) ∩L ∞(Ω). Assume (1.4)-(1.8) hold and u� be a weak solution of the problem P(ρ,µ̃�, d̃�).
- keywords: 1,~p; = ∂; = ∫; a.e; ai(x; anisotropic; b(u; boundary; conditions; constant; continuous; convergence; converges; cubo; data; elliptic; entropy; equations; existence; exponent; fluids; following; function; hand; i=1; inequality; inf; kaboré; l1(ω; lebesgue; lemma; lim; local; lp(.)(ω; l∞(ω; math; mdx; measurable; measure; need; nmeas(ω̃; non; nonlinear; norm; n∑ i=1; operator; ouaro; p(ρ,µ,d; problem; proof; proposition; set; sobolev; solution; spaces; study; theorem; tk(b(u; tk(u; type; uniqueness; variable; vol; x)−2u; |µ|(ω; |∇u|p; γ̃ne; ρ̃(u; ω̃\ω; ‖d̃‖l1(γ̃ne; ∂xi; ∂xi u; ∂xi v; ∂∂xitk(u �; ∂∂xiu; ∈{1; −ϕn; ∣∣∣∣; ∣∣∣∣pi(x; ∣∣∣∣∣; ; ; � =; � ‖∞; � −
- versions: original; plain text
- cubo-2598
- author: Békollè, David; Ezzinbi, Khalil; Fatajou, Samir; Danga, Duplex Elvis Houpa; Béssémè, Fritz Mbounja
- title: Convolutions in \((\mu,\nu)\)-pseudo-almost periodic and \((\mu,\nu)\)-pseudo-almost automorphic function spaces and applications to solve integral equations
- date: 2021-04-14
- words: 7879
- flesch: 84
- summary: KF < δ 2N such that ‖F(t,u) −F(t,v)‖≤ KF‖u−v‖, for all u,v ∈ X and t ∈ R, then the equation (1.1) has a unique bounded mild solution u : R 7−→ X given by u(t) = ∫ R Γ(t,s)F(s,u(s))ds, t ∈ R, CUBO 23, 1 (2021) Convolutions in (µ,ν)-PAP and (µ,ν)-PAA Functions 79 where the operator family Γ(t,s), called Green’s function corresponding to U and P(·), is given by Γ(t,s) = U(t,s)P(s), ∀t,s ∈ R, with t (H5): We propose F : R×X 7−→ X belongs to PAP(R×X,X,µ,ν) and there exists KF > 0 such that ‖F(t,u) −F(t,v)‖≤ KF‖u−v‖, for all u,v ∈ X and t ∈ R.
- keywords: automorphic; banach; bc(r; békollè; continuous; convolution; cubo; d.e; danga; definition; denote; e(r; equation; evolution; existence; ezzinbi; f(t; fatajou; following; functions; hold; houpa; invariance; k(t−s; lemma; lim; mbounja; measure; mild; pap(r; periodic; proof; pseudo; r −r; respect; results; solutions; space; sup; theorem; u(t; unique; x,µ,ν; µ([−r; ν([−r; ∣∣∣∣
- versions: original; plain text
- cubo-2600
- author: Blaga, Adara M.; Bakshi, Manoj Ray; Baishya, Kanak Kanti
- title: Hyper generalized pseudo \(Q\)-symmetric semi-Riemannian manifolds
- date: 2021-04-14
- words: 2773
- flesch: 84
- summary: Now putting U = % in (4.2) and using (4.3) and (4.4) we get T1(%)S(Y,V ) + T2(%)g(Y,V ) = T1(Y ) (2.4) 3 Some curvature properties of (HGPQS)n manifolds In this section we prove that in a (HGPQS)n manifold, the Q-curvature tensor satisfies 2nd Bianchi’s identity, that is, (∇XQ)(Y,U,V,W) + (∇Y Q)(U,X,V,W) + (∇UQ)(X,Y,V,W) = 0.
- keywords: curvature; field; g(u; generalized; hgpqs)n; manifold; pseudo; riemannian; semi; symmetric; tensor; u)v; vector; ∧s)(y
- versions: original; plain text
- cubo-2601
- author: Argyros, Ioannis K.; George, Santhosh
- title: Extended domain for fifth convergence order schemes
- date: 2021-04-14
- words: 3685
- flesch: 82
- summary: The numerical experiments appear in Section 4. CUBO 23, 1 (2021) Extended domain for fifth convergence order schemes 99 2 Local convergence It is easier for the local convergence of method (1.2), if we develop some real functions. CUBO 23, 1 (2021) Extended domain for fifth convergence order schemes 101 Theorem 2.1.
- keywords: analysis; argyros; banach; comput; conditions; continuous; convergence; cubo; domain; equation; example; extended; fifth; functions; george; iterative; local; math; mathematical; method; new; newton; numerical; order; para; radius; schemes; semi; set; solution; space; theorem; u(x∗,r; vol; way; ω((1; −x∗‖; −x∗‖)‖x0
- versions: original; plain text
- cubo-2603
- author: Yankson, Ernest
- title: Inequalities and sufficient conditions for exponential stability and instability for nonlinear Volterra difference equations with variable delay
- date: 2021-04-14
- words: 2748
- flesch: 89
- summary: (2.6) Considering the third term on the right hand side of (2.6) we obtain ∆n −1∑ s=−g0 n−1∑ z=n+s A2(n,z)h2(x(z)) = −1∑ s=−g0 n∑ z=n+s+1 A2(n + 1,z)h2(x(z)) Also, we note that n−1∑ z=n−g(n) A(n,z)h(x(z)) 2 ≤
- keywords: a(n; a2(n; cubo; difference; equations; exponential; inequalities; n−1∑; n−1∑ s; n−g(n; n−g(n−1)−1; q(n; s)h(x(s; solution; stability; x(n; z)h2(x(z
- versions: original; plain text
- cubo-2605
- author: Fagnola, Franco; Poletti, Damiano; Sasso, Emanuela
- title: Energy transfer in open quantum systems weakly coupled with two reservoirs
- date: 2021-04-14
- words: 8444
- flesch: 79
- summary: = ∑ ω∈B ω ∑ (εn,εm)∈Bω ( Γ+j,ωρm − Γ − j,ωρn ) tr ( PεnD ∗ jPεmDj ) . = n−1∑ k=0 ( Γ+j,1ρk − Γ − j,1ρk+1 ) .
- keywords: average; chain; coupling; cubo; current; dependence; difference; dimensional; doi; eigenvalues; energy; entropy; explicit; eβ1ω; eβ2ω; e−β2; fagnola; flow; following; formula; fourier; function; generator; gksl; hamiltonian; inequality; interaction; invariant; inverse; j+1; law; lemma; limit; log; markov; math; non; n≥0; open; operators; phys; poletti; proof; pεnd; qj+1,j; quantum; remark; reservoirs; sasso; section; semigroups; small; state; stationary; supj; system; temperature; theorem; transfer; vol; way; weakly; γ+1; γ−j; εk≤b; εm)∈bω; ρl2(hs; ρβj; ωdj; ω∈b
- versions: original; plain text
- cubo-2606
- author: Si bachir, Fatima; Abbas, Saïd ; Benbachir, Maamar; Benchohra, Mouffak; N’Guérékata, Gaston M.
- title: Existence and attractivity results for \(\psi\)-Hilfer hybrid fractional differential equations
- date: 2021-04-14
- words: 4875
- flesch: 85
- summary: t ∈ t ∈
- keywords: abbas; attractivity; bcς; benchohra; continuous; cubo; derivative; differential; equations; existence; fractional; function; hilfer; hybrid; math; problem; results; solutions; theorem; theory; u(s))ds; u(t; u0v(0,u(0; v(t; vol; γ(λ; λ;ψ; σ;ψ; φ(t; ψ(t; ψ(t1; ψ(t2; ψ′(s)(ψ(t; −ψ(0))1−ς; −ψ(0))1−ςγ(λ; −ψ(s))λ−1w(s; −ψ(s))λ−1|w(s; ∣∣∣∣
- versions: original; plain text
- cubo-2607
- author: Escassut, Alain
- title: Idempotents in an ultrametric Banach algebra
- date: 2021-04-14
- words: 4059
- flesch: 83
- summary: alain.escassut@uca.fr ABSTRACT Let IK be a complete ultrametric field and let A be a unital commu- tative ultrametric Banach IK-algebra. ,Xn} by one of its ideals equipped with its quotient norm of Banach IK-algebra.
- keywords: affinoid; algebra; banach; closed; commutative; compact; cubo; denote; escassut; finite; ideal; idempotents; maximal; mult(a,‖; norm; open; partition; proof; proposition; subsets; theorem; ultrametric; unique; unital; vol; φ(u; φ(v
- versions: original; plain text
- cubo-2608
- author: Choudhury, Binayak S.; Metiya, Nikhilesh; Kundu, Sunirmal
- title: Existence, well-posedness of coupled fixed points and application to nonlinear integral equations
- date: 2021-04-14
- words: 7967
- flesch: 89
- summary: The relation R is said to be directed if for given x,y ∈ X, there exists z ∈ X such that (x, z) ∈ R and (y, z) ∈ R. The relation R is said to be a partial order relation on X if it is reflexive, anti-symmetric and transitive. 179 x, y ∈ X such that lim n→∞ xn = x and lim n→∞ yn = y. (3.22)
- keywords: application; choudhury; contraction; cubo; d(x; d(xn; d(y; d(yn; existence; f(x; f(xn; f(y; f(yn; fixed; graph; kundu; lim; limit; m(x; mapping; max; metiya; metric; nonlinear; n→∞; point; posedness; problem; property; relation; results; rn+1; set; space; theorem; vol; xn+1
- versions: original; plain text
- cubo-2710
- author: Prakasha, D. G.; Harish, H.; Veeresha, P.; Venkatesha
- title: The Zamkovoy canonical paracontact connection on a para-Kenmotsu manifold
- date: 2021-08-01
- words: 5392
- flesch: 77
- summary: Taking inner product on both sides of (3.3) with X and then for U = Y , we have R∇Z (X, Y, Y, X) = R(X, Y, Y, X) + g(Y, Y )g(X, X) − g(X, Y )g(X, Y ). X − g(X, Y )ξ, (2.10) S(X, ξ) = −(n − 1)η(X), (2.11) S(φX, φY )
- keywords: canonical; canonical paracontact; civita; concircular; connection; cubo; curvature; c∇z; fields; g(x; g(y; kenmotsu; kenmotsu manifold; levi; manifold; math; para; paracontact; paracontact connection; prakasha; proof; r(x; respect; ricci; r∇z; symmetric; tensor; u)ξ; vector; vol; zamkovoy; ∇zw
- versions: original; plain text
- cubo-2711
- author: Kalyani, K.; Seshagiri Rao, N.
- title: Coincidence point results of nonlinear contractive mappings in partially ordered metric spaces
- date: 2021-08-01
- words: 6937
- flesch: 86
- summary: The existence of fixed point results for self-mappings in partially ordered sets have been considered first by Ran and Reurings [36] and presented some applications to matrix equations therein. The aim of this paper is to prove the coincidence point and common fixed point results for f- nondecreasing self-mapping satisfying generalized contractive conditions of rational type in the context of partially ordered metric spaces.
- keywords: anal; coincidence; common; compatible; complete; continuous; contractive; cubo; d(fx; d(fy; d,≤; f(x; fixed; following; kalyani; mappings; math; metric; monotone; nondecreasing; nonlinear; point; rao; results; self; sequence; seshagiri; spaces; t x; t y; theorem; tx0; txn; vol; ϕ(t)dt
- versions: original; plain text
- cubo-2712
- author: Ahmad, Bashir; Albideewi, Amjad F.; Ntouyas, Sotiris K.; Alsaedi, Ahmed
- title: Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equations
- date: 2021-08-01
- words: 4654
- flesch: 81
- summary: In this paper, motivated by aforementioned work on Hadamard fractional differential equations, we introduce and study a nonlocal multipoint boundary value problem involving a nonlinear sequential Hadamard fractional differential equation to enrich the related literature. Consider the boundary value problem for Hadamard fractional differential equations ( HD7/4 + 2 HD3/4 ) x(t) = f(t, x(t)),
- keywords: ahmad; alsaedi; boundary; c([1; conditions; continuous; cubo; differential; equations; existence; fractional; hadamard; integral; j=1; log; log t; nonlinear; ntouyas; point; problem; r dr; s r; s)α−2ds; sequential; solution; sλ−1; t −λ; theorem; type; value; vol; x(t; α−2; γ(α; ∣ ∣
- versions: original; plain text
- cubo-2714
- author: Aguiló Vidal, Bruno
- title: Free dihedral actions on abelian varieties
- date: 2021-08-01
- words: 1630
- flesch: 71
- summary: Keywords and Phrases: Abelian varieties, dihedral group, free action. CUBO 23, 2 (2021) Free dihedral actions on Abelian varieties 241 Proof.
- keywords: abelian; action; catanese; construction; demleitner; dihedral; dimension; free; group; hyperelliptic; manifolds; order; translations; varieties; variety
- versions: original; plain text
- cubo-2715
- author: Mouley, Jyotirmoy; Panja, M. M.; Mandal, B. N.
- title: Approximate solution of Abel integral equation in Daubechies wavelet basis
- date: 2021-08-01
- words: 6341
- flesch: 81
- summary: 245–264, August 2021 DOI: 10.4067/S0719-06462021000200245 Approximate solution of Abel integral equation in Daubechies wavelet basis Jyotirmoy Mouley 1 M. M. Panja 2 B. N. Mandal 3 1 Department of Applied Mathematics, University of Calcutta, 92, A.P.C. Road, Kolkata-700 009, India. Keywords and Phrases: Abel integral equation, Daubechies scale function, Daubechies wavelet, Gauss-Daubechies quadrature rule.
- keywords: 2k−1; abel; abel integral; appl; approximate; cubo; daubechies; dyadic; equation; error; exact; example; function; integral; integral equation; k=0; kind; lµ(k; m. m.; mandal; math; method; mouley; numerical; panja; relation; scale; second; solution; space; support; t)µ; table; unknown; values; vol; wavelet; y(x; φ(x; ‖e(x)‖l2[0,1; ‖δyj‖2l2[0,1
- versions: original; plain text
- cubo-2716
- author: Tung, Chia-chi; Lamberti, Pier Domenico
- title: On Rellich’s Lemma, the Poincaré inequality, and Friedrichs extension of an operator on complex spaces
- date: 2021-08-01
- words: 9046
- flesch: 75
- summary: Then: (a) there exists a non-decreasing, unbounded sequence {λ j } of positive real numbers such that the operator equation [u, v] D,h′ = λ(u, v̄)D ∀v ∈ C ∞,c(D), u|dD = 0, (6.1) admits a nontrivial solution u ∈ H1 1,h′ −→ ,c (D) precisely when λ is a member of the countable set {λ j }; 18 That is, each component hj of h ′ is bounded on D; similarly define “C ∞-allowable weight on D”. Define D µ,h := {ψ ∈ C 2,c(D)| S µ,h ψ ∈ L2(D)}, and H(D,S µ,h ) :
- keywords: allowable; assume; c(d; chi; chia; compact; complex; constant; covering; cubo; denote; dirichlet; domain; domenico; dυ̃; element; embedding; equation; euclidean; exists; extension; finite; following; form; friedrichs; g µ,h; h1µ,h; inequality; j→∞; l2(d; lamberti; lemma; lim; mapping; new; norm; open; operator; pier; poincaré; problem; product; proof; property; r d; relative; rellich; respect; riemann; schrödinger; sequence; sheets; sobolev; solution; space; subdomain; subset; theorem; tung; type; vol; weak; weight; york; µ,h
- versions: original; plain text
- cubo-2717
- author: Kumar, Gaurav; Tyagi, Brij K.
- title: Weakly strongly star-Menger spaces
- date: 2021-08-01
- words: 4940
- flesch: 83
- summary: In Section 3 we investigate the relationship of WSSM spaces with other related spaces. Section 4 contains the information on subspaces and product spaces of WSSM and in the last Section 5 we study the image and preimage of WSSM spaces under continuous maps.
- keywords: closed; compact; countable; covering; covers; cubo; dense; example; finite; kočinac; menger; n∈ω; open; paracompact; product; proof; properties; property; sequence; space; st(fn; st(∪vn; star; subset; topology; vol; weakly; wssm; wssm space
- versions: original; plain text
- cubo-2718
- author: Güney, H. Özlem; Murugusundaramoorthy, G.; Vijaya, K.
- title: Subclasses of \(\lambda\)-bi-pseudo-starlike functions with respect to symmetric points based on shell-like curves
- date: 2021-08-01
- words: 4833
- flesch: 91
- summary: [5] S. Joshi, S. Joshi and H. Pawar, “On some subclasses of bi-univalent functions associated with pseudo-starlike function”, J. Egyptian Math. For example, the functions z, z 1−z , − log(1 − z) and 1 2 log 1+z 1−z are members of Σ. However, the Koebe function is not a member of Σ.
- keywords: 1)(3; 2)2; 4(3λ−; analytic; c21; class; corollary; cubo; f(z; fekete; fibonacci; following; functions; g(w; math; pseudo; pslλs; p̃(z; respect; starlike; subclasses; szegö; univalent; vol; |a2|; |a3|; |h(µ)|; |τ|; σ(p̃(z; σ(α
- versions: original; plain text
- cubo-2729
- author: Haviar, M.; Kurtulík, S.
- title: A new class of graceful graphs: \(k\)-enriched fan graphs and their characterisations
- date: 2021-08-01
- words: 7587
- flesch: 77
- summary: A new class of graceful graphs: k-enriched fan graphs 315 characterized in the manner presented here. 2 Preliminaries In this section we recall the necessary basic terms concerning graph labellings as well as the concepts of labelling sequences, labelling relations and simple chessboards, which we use as our tools to describe new classes of graceful graphs. In this text we will denote by f(VG) the set of all vertex labels and by f(EG) the set of all edge labels in the labelling f of a graph G. Several types of graph labellings are known, e.g. α,β,σ,ρ, which have become very well-known since the publication of Rosa’s paper [10] in 1967, and further γ,δ,p,q introduced by Rosa in his dissertation thesis [9] in 1965.
- keywords: a(l; chessboard; corresponding; cubo; dots; double; edges; fan; fan graphs; figure; following; form; graceful; graceful graphs; grafos; graph; haviar; head; integers; kfn; labelling; main; middle; new; n−i; pairs; path; relation; sequence; simple; size; stars; swan; table; triple; upper; vertex; vertices
- versions: original; plain text
- cubo-2730
- author: Kawamura, Masaya
- title: On the conformally \(k\)-th Gauduchon condition and the conformally semi-Kähler condition on almost complex manifolds
- date: 2021-08-01
- words: 3496
- flesch: 79
- summary: − k − 1) 6n(n − 1)(n − 2) ∫ M ekf Tr(T ′B ∧ T̄ ′B)ωnB = − k(n − k − 1) 6n(n − 1)(n − 2) ∫ M e kf (6|wB|2 − 3|T ′B|2)ωnB, (3.7) 340 Masaya Kawamura CUBO 23, 2 (2021) which gives that 2 ∫ M ekf |wB|2ωnB = ∫ M ekf |T ′B|2ωnB, where we used ω n−k−1 B ∧ ∂̄(ωkB) − ∂(ekf ) ∧ ωn−k−1B ∧ ∂̄(ω k B) − ekf∂(ωn−k−1B ) ∧ ∂̄(ω k B) = ∫ M d(ekfωn−k−1 B ∧ ∂̄(ωkB))
- keywords: associated; chern; complex; condition; connection; cubo; definition; equivalent; gauduchon; hermitian; kawamura; kähler; lemma; m2n; manifold; metric; n−k−1; quasi; real; semi; structure; th gauduchon; theorem; torsion; vol; ωn−1
- versions: original; plain text
- cubo-2847
- author: Díaz-Marín, Homero G.; Osuna, Osvaldo
- title: Non-algebraic limit cycles in Holling type III zooplankton-phytoplankton models
- date: 2021-12-01
- words: 4079
- flesch: 73
- summary: There can not exist algebraic limit cycles of the dynamical system (2.1) as a real vector field in R2, whenever conditions (2.4) hold true. Along this work we consider only integer values n ≥ 2. Existence of non-algebraic limit cycles for the Lotka-Volterra model were first exhibited by [12].
- keywords: algebraic; branches; conditions; corresponding; cubo; curve; cycles; equation; f(x; fig; following; functional; good; iii; invariant; laurent; limit; maŕın; models; newton; non; number; polygon; predator; prey; puiseux; rational; response; series; solution; system; theorem; type; unique; vol; yields
- versions: original; plain text
- cubo-2848
- author: Lampret, Vito
- title: Basic asymptotic estimates for powers of Wallis’ ratios
- date: 2021-12-01
- words: 3965
- flesch: 86
- summary: − exp( − as̃1(n))︸ ︷︷ [5] V. G. Cristea, “A direct approach for proving Wallis ratio estimates and an improvement of Zhang-Xu-Situ inequality”, Studia Univ.
- keywords: appl; approximation; asymptotic; corollary; cubo; error; estimates; exp; formula; functions; inequalities; lampret; math; ratio; relative; sequence; theorem; vol; wallis; wan; |a|; π n; πn)−a/2
- versions: original; plain text
- cubo-2849
- author: Hidalgo, Rubén A.
- title: The structure of extended function groups
- date: 2021-12-01
- words: 7816
- flesch: 60
- summary: The structure of extended function groups 371 by other authors in the sense that they refer it to Kleinian groups whose limit set is a Jordan curve and contains elements permuting the two discs bounded by it. Basic examples of function groups are provided by elementary groups (Kleinian groups with finite limit set), quasi- fuchsian groups (function groups whose limit set is a Jordan curve) and totally degenerate groups (non-elementary finitely generated Kleinian groups whose region of discontinuity is both connected and simply-connected).
- keywords: accidental; amalgamated; boundary; case; collection; combination; component; conformal; connected; cubo; cyclic; cyclic group; decomposition; discontinuity; discs; element; elementary; equivariant; extended; extended function; finite; finite group; free; function; function group; group; invariant; kleinian; kleinian group; lemma; loops; maskit; math; möbius; non; parabolic; points; proof; quasifuchsian; region; riemann; set; stabilizer; structure; subgroup; theorem; transformations; trivial; vol
- versions: original; plain text
- cubo-2850
- author: Traoré, U.
- title: Entropy solution for a nonlinear parabolic problem with homogeneous Neumann boundary condition involving variable exponents
- date: 2021-12-01
- words: 7382
- flesch: 89
- summary: We rewrite (3.1) in the forms ∫ t 0 〈 ∂uN ∂s ,Tk(u N − φ) 〉 ds + ∫ t 0 ∫ Ω a(x,∇uN).∇Tk(uN − φ)dxds + ∫ t 0 ∫ Ω b(uN)Tk(u N − φ)dxds ≤ ∫ t 0 ∫ Ω fNTk(u N − φ)dxds (5.21) and ∫ t 0 〈 ∂uM ∂s ,Tk(u M − φ) 〉 ds + ∫ t 0 ∫ Ω a(x,∇uM).∇Tk(uM − φ)dxds + ∫ t 0 ∫ Ω b(uM)Tk(u M − φ)dxds ≤ ∫ t 0 ∫ Ω fMTk(u M − φ)dxds (5.22) CUBO 23, 3 (2021) Entropy solutions for nonlinear parabolic problems with... 401 where fN(t,x) = fn(x) ∀t Similarly, we show that lim h→∞ lim N,M→∞ (∫ t 0 〈 ∂uN ∂s ,T1(u N − Th(uM)) 〉 + 〈 ∂uM ∂s ,T1(u M − Th(uN)) 〉 ds ) = 0 lim h→∞ lim N,M→∞ ∫ t 0 ∫ Ω [fNT1(u N − Th(uM))
- keywords: = ∫; a(x,∇tk(u; a.e; boundary; c(t; converges; cubo; data; entropy; equations; existence; exponents; following; function; i=1; inequality; l1(qt; l1(ω; lemma; lim; lim n; measurable; measure; m→∞; n(t; n=1; neumann; nonlinear; p(x; parabolic; problem; proof; result; solutions; space; stability; study; tk(u; traoré; uniqueness; variable; vol; w1,p; |ui|≤k; |um|; φ)dxds; ∥∥b(ui)∥∥; ≤ ∫
- versions: original; plain text
- cubo-2851
- author: Philo Nithya, L.; Kureethara, Joseph Varghese
- title: Independent partial domination
- date: 2021-12-01
- words: 3831
- flesch: 69
- summary: In Section 3, we define independent partial domination number and study some of their properties. 3 Independent partial domination In this section, we define independent partial domination number and present some observations and some of the basic results.
- keywords: cardinality; chain; cubo; definition; dominating set; domination; graph; i(g; independent; independent partial; independent set; ip(g; ipd; math; maximal; minimal; n[s; nithya; number; partial; partial domination; proof; proposition; section; set; sets; vertices; vol; |n[bi]|; γp(g; ∣∣∣∣∣∣
- versions: original; plain text
- cubo-2852
- author: Anastassiou, George A.
- title: Foundations of generalized Prabhakar-Hilfer fractional calculus with applications
- date: 2021-12-01
- words: 5235
- flesch: 91
- summary: e γ;ψ ρ,µ,ω,a+f ) (x) = ∫ x a ψ′ (t) (ψ (x) − ψ (t))µ−1 Eγρ,µ [ω (ψ (x) − ψ (t)) ρ ]f (t)dt, (1.2) and ( e γ;ψ ρ,µ,ω,b−f ) (x) = ∫ b x ψ′ (t) (ψ (t) − ψ (x))µ−1 Eγρ,µ
- keywords: a+f; b],ψ; calculus; cubo; fractional; generalized; hilfer; i=1; prabhakar; proof; r1r3; theorem; γ;ψ; ρ,µ,ω
- versions: original; plain text
- cubo-2853
- author: Almuthaybiri, Saleh S.; Jonnalagadda, Jagan Mohan; Tisdell, Christopher C.
- title: Existence and uniqueness of solutions to discrete, third-order three-point boundary value problems
- date: 2021-12-01
- words: 5569
- flesch: 81
- summary: In addition, developing a theory of discrete boundary value problems has the po- tential to inform our understanding of continuous boundary value problems. j.jaganmohan@hotmail.com ABSTRACT The purpose of this article is to move towards a more com- plete understanding of the qualitative properties of solutions to discrete boundary value problems.
- keywords: +2∑; +30; boundary; boundary value; bounds; complete; conditions; continuous; cubo; difference; discrete; equations; existence; fixed; following; function; green; h(t; math; new; order; point; positive; problems; proof; s)(t; s=1; s=2; solutions; t +2∑; t(t; theorem; theory; tisdell; u(t; unique; uniqueness; value; vol; |g(t; η(η
- versions: original; plain text
- cubo-2854
- author: Dragomir, S. S.
- title: Some integral inequalities related to Wirtinger's result for \(p\)-norms
- date: 2021-12-01
- words: 4432
- flesch: 90
- summary: 1b − a ∫ b a ( x − a b − a ∫ b a f (s) ds − ∫ x a f (t) dt ) g′ (x) dx ∣∣∣∣∣ ≤ 1 b − a ∫ b a ∣∣∣∣∣x − ab − a ∫ b a f (s) ds − ∫ x a f (t) dt ∣∣∣∣∣ |g′ (x)| dx ≤ 1 b − a (∫ b a ∣∣∣∣∣x − ab − a ∫ b a f (s) ds − ∫ x a f (t) dt ∣∣∣∣∣ p dx )1/p (∫ b a |g′ (x)|q dx )1/q =: I (3.10) Using (2.15) we have I ≤ Using (3.7) we have ∣∣∣∣C ( ℓ − a + b 2 , g′ )∣∣∣∣ ≤ (b − a)1/p (p − 1)1/p πp ( 1 b − a ∫ b a ∣∣∣∣∣t − a + b2 − 1b − a ∫ b a ( s − a + b 2 ) ds ∣∣∣∣∣ p dt )1/p (∫ b a |g′′ (x)|q dx )1/q = (b − a)1/p (p − 1)1/p πp ( 1 b − a ∫ b a ∣∣∣∣t − a + b2 ∣∣∣∣p dt )1/p (∫ b a |g′′ (x)|q dx )1/q = (b − a)1+1/p 2 (p − 1)1/p (p + 1)1/p πp (∫ b a |g′′ (x)|q dx )1/q , which proves the desired inequality (3.12).
- keywords: a)b −; b −; b)2; cubo; ds −; inequalities; inequality; integral; p dt; t)2 −; vol; wirtinger; − a)1; − g; − ∫; ∣∣∣∣∣
- versions: original; plain text
- cubo-2855
- author: Elazzouzi, Abdelhai; Ezzinbi, Khalil; Kriche, Mohammed
- title: On the periodic solutions for some retarded partial differential equations by the use of semi-Fredholm operators
- date: 2021-12-01
- words: 5783
- flesch: 81
- summary: In [22], the authors proved the periodicity for a nonhomogeneous linear differential equation when the linear part generates a C0-semigroup on E and they obtained the existence and uniqueness of periodic solutions for this class of equations. To achieve this goal, we suppose that Equation (1.1) admits a bounded solution on the positive real line and under suitable estimations on the norm of the operator L, we derive periodic solution of Equation (1.1) from bounded ones on the positive real line by using the perturbation theory of semi-Fredholm operators and the Chow and Hale’s fixed point theorem.
- keywords: banach; bounded; closed; continuous; cubo; d(a; differential; dim; elazzouzi; equation; existence; ezzinbi; fixed; following; follows; fredholm; functional; im(i; integral; ker(i; kriche; lemma; lim; linear; log; map; mω|s−1; operator; partial; periodic; periodicity; proof; retarded; satisfies; semi; semigroup; solutions; space; sup; t0(ω; theorem; vol; work; x(ω; y(t; |l|; ψ)|
- versions: original; plain text
- cubo-2856
- author: Atash, Ahmed Ali; Kulib, Maisoon Ahmed
- title: Extension of exton's hypergeometric function \(K_{16}\)
- date: 2021-12-01
- words: 5490
- flesch: 85
- summary: dt (2.1) K (α,β) 16,p (a, b, c, d; e; x, y, z, u) = 1 B(a, e − a) 1 B(d, e − a − d) ∫ 1 0 ∫ 1 0 ta−1sd−1(1 − t)e−a−1(1 − s)e−a−d−1 × (1 − xt − zs(1 − t))−b(1 − yt − us(1 − t))−c1F1 ( α; β; − p t(1 − t) ) dtds (2.2) K (α,β) 16,p (a, b, c, d; e; x, y, z, u) = 1 B(a, e − a) B(d, e − a − d) × ∫ 1 0 ∫ 1 0 ta−1sd−1(1 − t)e−a−1(1 − s)e−a−d−1(1 − zs)−b(1 − us)−c × ( 1 − ( x − zs 1 − zs ) t )−b ( 1 − ( y − us 1 − us ) t )−c 1F1 ( α; β; − p t(1 − t) ) dtds (2.3) K (α,β) 16,p 1 0 ta−1(1 − t)d−a−1(1 − xt)−b(1 − yt)−cdt.
- keywords: 1f1; b(a; cubo; e −; extended; exton; following; function; generating; hypergeometric; integral; proof; t(1 −; ta−1(1 −; u(1 −; z(1 −; β)16,p; − a)r+s; − p; − t; − xt; − xt)−b(1; − yt
- versions: original; plain text
- cubo-2951
- author: Prasad, Rajendra; Akyol, Mehmet Akif; Kumar, Sushil; Singh, Punit Kumar
- title: Quasi bi-slant submersions in contact geometry
- date: 2022-04-04
- words: 6285
- flesch: 83
- summary: For all W,Z ∈ Γ(D1) and X ∈ Γ(D ⊕ D2), we have gM([W,Z],X) = gM(∇W Z,X) − gM (∇ZW,X). = gM (∇W φZ,φX) − gM(∇ZφW,φX), = gM (∇W ψZ,φX) + gM(∇W ωZ,φX) − gM (∇ZψW,φX) − gM (∇W ωZ,φX), = cos2 θ1gM(∇W Z,X) − cos2 θ1gM(∇ZW,X) − gM(TW ωψZ − TZωψW,X) +gM(H∇W ωZ + TW ωZ,φPX + ψRX + ωRX) −gM(H∇ZωW + TZωW,φPX + ψRX + ωRX).
- keywords: akyol; contact; cos2; cosymplectic; cubo; distribution; equations; geodesic; geometry; gm(∇w; hermitian; invariant; kumar; lemma; manifold; math; metric; prasad; proof; proper; quasi; quasi bi; riemannian; semi; singh; slant; slant submersion; submersion; totally; vol; γ(d; γ(d1; γ(kerf∗
- versions: original; plain text
- cubo-2952
- author: Prasad, K. Rajendra; Khuddush, Mahammad; Vidyasagar, K. V.
- title: Infinitely many positive solutions for an iterative system of singular BVP on time scales
- date: 2022-04-04
- words: 4885
- flesch: 88
- summary: The point t ∈ T is left-dense, left-scattered, right-dense, right-scattered if ρ(t) = t, ρ(t) < t, σ(t) = t, σ(t) > t, respectively. t ∈
- keywords: boundary; continuous; cubo; i=1; iterative; khuddush; point; positive; prasad; problems; proof; scales; solutions; system; t)t; theorem; time; value; vidyasagar; vol; τm)λ(τm)gm(υ1(τm))∆τm; ℵ(t; ℵ(τ1; ℵ(τm−1;
- versions: original; plain text
- cubo-2953
- author: Auffarth, Robert; Lucchini Arteche, Giancarlo; Quezada, Pablo
- title: Smooth quotients of abelian surfaces by finite groups that fix the origin
- date: 2022-04-04
- words: 6753
- flesch: 80
- summary: Note first that the action is faithful since it comes from the faithful action of G × ∆ on B. Consider then K as a subgroup of PGL3 = Aut(P 2) and let K1 be its preimage in SL3. The case G = G(2, 2) is excluded since G is then a Klein group and thus the representation is not irreducible.
- keywords: abelian; action; analytic; case; case g; corresponds; cubo; element; example; finite; following; group; invariant; isomorphic; lemma; non; note; order; origin; pair; particular; possible; proof; pseudoreflections; quotient; representation; smooth; stabilizer; surfaces; torsion; trivial
- versions: original; plain text
- cubo-2954
- author: T., Reji; Varughese, Jinitha; R., Ruby
- title: On graphs that have a unique least common multiple
- date: 2022-04-04
- words: 4306
- flesch: 86
- summary: Consider the graph H = G◦G∪G, where G◦G is the graph obtained by identifying a least degree vertex in two copies of G. Then (1) e(H) ≡ 0 (mod 3). Applying Theorem 1.5, G ◦ G is P3 ∪ K2- decomposable
- keywords: adjacent; case; common; common multiple; decomposable; e(g; e(h; edges; graphs; lcm(p3; mod; multiple; subcase; theorem; tk2; unique; vertex; vertices; vol
- versions: original; plain text
- cubo-2955
- author: El Hammar, Hasnae; Allalou, Chakir; Abbassi, Adil; Kassidi, Abderrazak
- title: The topological degree methods for the fractional \(p(\cdot)\)-Laplacian problems with discontinuous nonlinearities
- date: 2022-04-04
- words: 7022
- flesch: 83
- summary: +∞, (1.3) p is symmetric i. e. p(x, y) = p(y, x), ∀(x, y) ∈ Ω × Ω; (1.4) CUBO 24, 1 (2022) ∈ Ω and 〈ϕ,v〉 = ∫ Ω hvdx ∀v
- keywords: abbassi; allalou; anal; appl; banach; boundary; compact; cubo; degree; discontinuous; elliptic; equations; existence; exponent; following; fractional; function; h(x; hammar; kassidi; kim; lemma; lim; math; methods; nonlinear; nonlinearities; open; operator; p(x; p(·)-laplacian; problems; proposition; semicontinuous; set; sobolev; solutions; spaces; theorem; theory; topological; type; u.s.c; upper; variable; vol; weak; y)dxdy; |u(x; ψ(x; ω×ω; ′(x)(ω
- versions: original; plain text
- cubo-2957
- author: Guerfi, Abderrahim; Ardjouni, Abdelouaheb
- title: Existence, uniqueness, continuous dependence and Ulam stability of mild solutions for an iterative fractional differential equation
- date: 2022-04-04
- words: 4123
- flesch: 83
- summary: t 0 (t − s) α−1 x(s)ds, provided the right side is pointwise defined on R+, where Γ is the gamma function. ∫ t 0 (t − s) n−α−1 x(n)
- keywords: continuous; cubo; dependence; differential; equations; existence; fractional; i−1; j=0; lemma; mild; point; problem; proof; solution; stability; t α; theorem; ulam; uniqueness; vol; x(t; α−1; ∣ ∣
- versions: original; plain text
- cubo-2958
- author: Ballico, Edoardo
- title: A characterization of \(\mathbb F_q\)-linear subsets of affine spaces \(\mathbb F_{q^2}^n\)
- date: 2022-04-04
- words: 4375
- flesch: 87
- summary: ∈ Fq \ Eq, and I ′ q := I ′′ q ∪ {0}. We say that C(a, c) is the circle of Fq2 with center a and squared-radius c. Note that C(a, 0) = {a} and #C(a, c) = q + 1 for all c ∈ Fq \ {0}.
- keywords: affine; ballico; closed; closure; definition; finite; fix; fq2; linear; matrices; mod; non; note; numerical; odd; proposition; range; remark; set; square; subsets; vol
- versions: original; plain text
- cubo-2959
- author: Rahman, Shamsur
- title: Some results on the geometry of warped product CR-submanifolds in quasi-Sasakian manifold
- date: 2022-04-04
- words: 3144
- flesch: 79
- summary: Some results on the geometry of warped product ... 111 The remaining case, when ξ ∈ T DT is dealt with the following two theorems. [2] has studied the geometry of warped product submanifolds in Kaehler manifolds and showed that the warped product submanifold of the type D⊥×yDT is trivial where DT and D⊥ are φ-invariant and anti-invariant submanifolds of a Sasakian manifold, respectively.
- keywords: contact; cubo; d⊥×ydt; field; geometry; invariant; manifold; normal; product; quasi; results; sasakian; submanifolds; tangent; tensor; vector; vol; warped; warped product; γ(t; ∈ t
- versions: original; plain text
- cubo-2965
- author: Gesztesy, Fritz; Michael, Isaac; Pang, Michael M. H.
- title: Optimality of constants in power-weighted Birman–Hardy–Rellich-Type inequalities with logarithmic refinements
- date: 2022-04-12
- words: 16809
- flesch: 93
- summary: ((0, ρ)), m, N ∈ N, α ∈ R, ρ, γ ∈ (0, ∞), γ > eN ρ. ∣ ∣ 2 > A(m, α) ˆ ρ 0 dx x α−2m ∣ ∣f(x) ∣ ∣ 2 + B(m, α) N ∑ k=1 ˆ ρ 0 dx x α−2m k ∏ p=1 [lnp(γ/x)] −2 ∣ ∣f(x) ∣ ∣ 2 , f ∈ C ∞ 0 ((0, ρ)), m, N ∈ N,
- keywords: 0,ρ/20; 0,∞; 16j6k6n; 1−εk; = −; a(m; amer; assume; b(m; birman; c20; case; constants; convergence; corollary; cubo; c∞0; differential; dimensional; dxxα; dxxα−2; dxx−1; dxx−1+ε0; equations; function; gesztesy; h1,ε; hardy; independent; inequalities; inequality; j(ε; j=1; k(0; k(ε; k6n; k=1; lemma; lim; ln(1; lnj(γ; lnj+1(γ; lnp(t; logarithmic; math; michael; n(0; note; n−1∑; n−2∏; n−3∏; operators; optimality; p=1; pang; paper; particular; pm(σ0(0))p; power; proc; proof; rellich; results; sect; sequence; sharp; sharpness; sobolev; soc; spaces; terms; theorem; theory; type; vol; weighted; x)/θ)f; x+θ; yα−2m|g(y)|2; ˆ ρ; γj−1(ε; δ),ε; ε(x; ε0,ε1; εk)γj; ψ(x)]2; ′m(σ0(0; ℓ=1; −1−εj; −σj; ∣∣2; ∣∣∣∣
- versions: original; plain text
- cubo-2966
- author: Haldar, Goutam
- title: Uniqueness of entire functions whose difference polynomials share a polynomial with finite weight
- date: 2022-04-12
- words: 8514
- flesch: 91
- summary: Let F and G be non-constant meromorphic functions such that G is a Mobius transformation of F. Suppose that there exists a subset I ⊂ R+ with linear measure mesI = Using these theories, some mathematicians in the world began to study the uniqueness questions of meromorphic functions sharing values with their shifts, and study the value distribution of the nonlinear difference polynomials, and produced many fine works, for example, see [1, 5, 6, 7, 11, 15, 16, 23, 27, 29, 30, 31, 40, 44].
- keywords: + s(r; complex; constant; cubo; difference; entire; f(z; finite; following; functions; g(z; lc(f; lc(g; lemma; m(r; math; meromorphic; n +; n(r; n0(r; nevanlinna; nl(r; non; order; p(z; polynomial; results; share; sharing; theorem; tn+1; transcendental; uniqueness; value; vol; zero
- versions: original; plain text
- cubo-3094
- author: Ouaro, Stanislas; Rabo, Noufou; Traoré, Urbain
- title: Numerical analysis of nonlinear parabolic problems with variable exponent and \(L^1\) data
- date: 2022-08-22
- words: 8333
- flesch: 84
- summary: − ∇v − − ∇v −
- keywords: a(x; analysis; approximation; condition; convergence; cubo; entropy; equations; example; existence; exponent; following; function; k n+1; l1(ω; lemma; lp(.)(ω; method; mild; n+1; nonlinear; note; numerical; operator; ouaro; p(x; paper; parabolic; problem; proof; scheme; solution; space; study; thanks; theorem; traoré; u ε; uniqueness; uεn+1; variable; vol; weak; ε n+1; ε,0; ε,1; λku; ; ; ; ;
- versions: original; plain text
- cubo-3095
- author: He, Cong; Chen, Jingchun
- title: Vlasov-Poisson equation in weighted Sobolev space \(W^{m, p}(w)\)
- date: 2022-08-22
- words: 5638
- flesch: 89
- summary: − φg) · ∂ α x ∂ β v ∇vg, |∂ α x ∂ β v (f − g)| p−2 · ∂αx ∂ β v (f − g)w 〉 . (4.20) Multiplying |∂αx ∂ β v (f −g)| p−2·∂αx ∂ β v (f −g)w on both sides of (4.20), and then integrating over Rnx × R n v yields that 1 p d dt ‖∂αx ∂ β v (f − g)‖ p L p x,v(w) + ∑ β1<β C β1 β 〈 ∂β−β1v v · ∂ β1 v ∇x∂ α x (f − g), |∂ α x ∂ β v (f − g)| p−2 · ∂αx ∂ β v (f − g)w 〉 ︸ ︷︷ ︸ J̃1 = 〈 ∇xφf · |∂ α x ∂ β v (f − g)| p, ∇vw 〉 ︸ ︷︷ ︸ J̃2 − ∑ 06=α1≤α Cα1α 〈 ∂α1x ∇xφf · ∂ α−α1 x ∂ β v ∇v(f − g), |∂ α x ∂ β v (f − g)| p−2 · ∂αx ∂ β v (f − g)w 〉 ︸ ︷︷ ︸ J̃3 − ∑ 0≤α1≤α C α1 α 〈 ∂ α1 x (∇xφf − ∇xφg) · ∂ α−α1 x ∂ β v ∇vg, |∂ α x ∂ β v (f − g)| p−2 · ∂αx ∂ β v (f − g)w 〉 ︸ ︷︷ ︸ J̃4 . (4.21) We could repeat the estimates in the proof of the existence except for some special term.
- keywords: cubo; derivative; equation; estimates; existence; g)‖lpx; global; k+1‖; l p; order; p x; p(w; poisson; proof; p−1; sobolev; solutions; space; sup; term; theorem; v(w; vlasov; vol; weighted; β v; ‖∂i+α1x; ‖∂αx; ∂ β; ∇vf; ∇xφ; ∇xφf;
- versions: original; plain text
- cubo-3096
- author: Djibaoui, Meriem; Moussaoui, Toufik
- title: Variational methods to second-order Dirichlet boundary value problems with impulses on the half-line
- date: 2022-08-22
- words: 3718
- flesch: 87
- summary: Since u ∈ H10 (0, ∞), it is evident that u(0) = u(∞) = 0. For j ∈ {1, 2, . . . with ∞ ∑ j=1 ajg(tj), ∞ ∑ j=1 ajg(tj) p(tj) , ∞ ∑ j=1 bjg(tj) pδ(tj) , ∞ ∑ j=1 bjg(tj) pδ+1(tj) are convergent series, such that the impulsive functions Ij have sublinear growths i.e., |Ij(u)| ≤ aj + bj|u| δ for every u ∈ R, j ∈ {1, 2, . . .}.
- keywords: boundary; critical; cubo; dirichlet; f(t; h10; impulsive; j=1; order; p(tj; point; problem; solution; theorem; tj+1; u(0; value; variational; weak; α‖u‖2; ∞ ∑; ∥ ∥
- versions: original; plain text
- cubo-3099
- author: Kawamura, Masaya
- title: On an \(a\) \(priori\) \(L^\infty\) estimate for a class of Monge-Ampère type equations on compact almost Hermitian manifolds
- date: 2022-08-22
- words: 9209
- flesch: 91
- summary: − 1)ψχn−α−1tu ∧ ωα−2 ∧ ∂ω ∧ ∂̄ω −α(n − α)ψχn−α−1tu ∧ ωα−1 ∧ ∂∂̄ω } (4.8) On the other hand, we have that by Stokes’ theorem, I = ∫ 1 0 ∫ M e −pu d dt (χntu − ψχn−αtu ∧ ωα)dt = ∫ 1 0 ∫ M e −pu √ −1∂∂̄u ∧ (nχn−1tu − (n − α)ψχn−α−1tu ∧ ωα)dt = ∫ 1 0 ∫ M d(e−pu √ −1∂̄u ∧ (nχn−1tu − (n − α)ψχn−α−1tu ∧ ωα))dt − ∫ 1 0 ∫ M √ −1∂e−pu ∧ ∂̄u ∧ (nχn−1tu − (n − α)ψχn−α−1tu ∧ ωα)dt + ∫ 1 0 ∫ M √ −1e−pu∂̄u ∧ ∂(nχn−1tu − (n − α)ψχn−α−1tu ∧ ωα)dt = p ∫ 1 0 ∫ M e −pu √ −1∂u ∧ ∂̄u ∧ (nχn−1tu − (n − α)ψχn−α−1tu ∧ ωα)dt −1 p ∫ 1 0 ∫ M √ −1∂̄e−pu ∧ ∂(nχn−1tu − (n − α)ψχn−α−1tu ∧ ωα)dt = p ∫
- keywords: ampère; chern; class; compact; complex; connection; cubo; equation; estimate; e−pu; e−puχn−1 ∧; following; function; hermitian; ij̄; ik̄; inequality; īj̄; kawamura; k̄j̄; large; lemma; local; m e; manifold; metric; monge; nχn−1tu; n−1; p2 ∫; priori; proof; real; respect; satisfies; smooth; sn(χu; solution; structure; su ∧; theorem; torsion; tu −; type; uniform; unitary; vol; zi)∂ϕ(zs; α)ψχn−α−1tu ∧; ωn−lds; ωα)dt; ϕs̄; ∂̄u ∧; ∂̄χ; − α; −1∂̄∂∂̄u; −pu; ∧ ω; ∧ ωdsdt; ∧ ωdt; ∧ ωn−1; ∧ ωα−1; ∫ m; ∫ t
- versions: original; plain text
- cubo-3101
- author: Bochi, Jairo; Iommi, Godofredo; Ponce, Mario
- title: Perfect matchings in inhomogeneous random bipartite graphs in random environment
- date: 2022-08-22
- words: 3369
- flesch: 77
- summary: Given an environment ω ∈ Ω, we construct a sequence of random bipartite graphs Gn,ω considering the sets of vertices Wn,ω = (w1(ω), . . . Let (Gn,ω)n≥1 be a sequence of random bipartite graphs on a random environment ω
- keywords: a(ij)(ω; bipartite; bochi; cubo; denote; edge; entries; environment; erdős; following; graphs; inhomogeneous; iommi; large; law; matchings; matrix; mean; measure; number; perfect; ponce; probability; random; result; rényi; scaling; space; theorem; vol
- versions: original; plain text
- cubo-3102
- author: Fredj, Fouad; Hammouche, Hadda
- title: On existence results for hybrid \(\psi-\)Caputo multi-fractional differential equations with hybrid conditions
- date: 2022-08-22
- words: 5962
- flesch: 83
- summary: [23] Y. Zhao, S. Sun, Z. Han and Q. Li, “Theory of fractional hybrid differential equations”, Comput. − h(t,v(t))| ≤ L(t)|u(t) − v(t)|, and |f(t,u(t),v(t))
- keywords: banach; c(j; cdq;ψu(t; conditions; continuous; cubo; derivative; differential; equations; existence; fixed; fractional; fredj; functions; h(t; hammouche; hybrid; iq;ψ; lemma; operator; order; point; problem; results; solution; theorem; u(t; uniqueness; vol; γ(p; γ(q; γ(ηi; ψ−caputo; ∣ ∣; ; ; ; ; ;
- versions: original; plain text
- cubo-3103
- author: Tekir, Ünsal; Koç, Suat; Abu-Dawwas, Rashid; Yıldız, Eda
- title: Graded weakly 1-absorbing prime ideals
- date: 2022-08-22
- words: 7840
- flesch: 93
- summary: In [15], Refai et al. defined and studied graded prime ideals. A proper graded ideal P of a graded ring R is called graded prime ideal if whenever xy ∈ P for some x, y ∈ h(R) then either x ∈ P or y ∈ P .
- keywords: absorbing; case; contradiction; cubo; divides; elements; g ∈; graded; graded ideal; graded prime; graded ring; graded weakly; g∈g; h(r; ideal; ideal p; nonunits; pg2; prime; prime ideal; proof; proper; ring; theorem; vol; weakly; weakly prime; xg1; xyz; y ∈; yg2; zg3; ∈ p
- versions: original; plain text
- cubo-3105
- author: Van Maldeghem, Hendrik; Victoor, Magali
- title: On Severi varieties as intersections of a minimum number of quadrics
- date: 2022-08-22
- words: 12139
- flesch: 76
- summary: = φ(p+q) for points p, q ∈ E6(K). = ∑ {p,q}⊆P a{p,q}XpXq, with a{p,q} ∈ K. Since all points corresponding to the standard basis vectors belong to E6(K), we have a{p} = 0, for all p ∈ P. Now let p, q ∈ P be distinct but non-collinear in Γ. Then one easily checks that 〈ep + eq〉 ∈ E6(K).
- keywords: black; c(v; cartan; case; collinear; conic; contradiction; coordinates; corresponding; cubic; cubo; dimensional; disjoint; e6(k; equation; example; extension; field; fixed; flat; following; follows; form; g2,6(k; generalized; gq(2; grey; host; image; intersection; k27; lemma; lines; maldeghem; map; minimum; number; observation; order; paper; plane; point; projective; proof; quadratic; quadrics; regular; s2,2(k; segre; set; severi; short; singular; space; spread; subspace; unique; v2(k; varieties; variety; vector; veronese; victoor; white; φ(u; φ(v; φ(w
- versions: original; plain text
- cubo-3106
- author: Jinnah, M. I.; Mathew, Shine C.
- title: Ideal based graph structures for commutative rings
- date: 2022-08-22
- words: 3889
- flesch: 88
- summary: Clearly max R is a dominating set for Γ ∗∗ 2 (R). Now, if R is local with maximal ideal m, since Γ∗ 2 (R) is complete, m must be principal with index of nilpotency 2. (⇐): If R is a direct sum of two fields, Γ∗2(R) ∼= K2 and if R is local with principal maximal ideal having index of nilpotency 2, Γ∗ 2 (R) ∼= K1.
- keywords: adjacent; commutative; fields; graph; ideal; local; maximal; non; proof; ring; set; split; subgraph; theorem; γ∗2(r
- versions: original; plain text
- cubo-3107
- author: Seshagiri Rao, N.; Kalyani, K.
- title: Fixed point results of \((\phi,\psi)\)-weak contractions in ordered \(b\)-metric spaces
- date: 2022-08-22
- words: 8944
- flesch: 87
- summary: In addition to Theorem 3.8, if for all (υ,ξ),(r,s) ∈ P × P, there exists (c∗,d∗) ∈ P × P such that (h(c∗,d∗),h(d∗,c∗)) is comparable to (h(υ,ξ),h(ξ,υ)) and to (h(r,s),h(s,r)), then h and f have a unique coupled common fixed point in P × [24] E. Graily, S. M. Vaezpour, R. Saadati and Y. J. Cho, “Generalization of fixed point theorems in ordered metric spaces concerning generalized distance”, Fixed Point Theory Appl., 30, 8 pages, 2011.
- keywords: coincidence; common; complete; condition; continuous; contractions; cubo; d(fυ; d(υ; d(υn; decreasing; fixed; following; fυn; generalized; gυn; h(υ; kalyani; lim; mappings; math; max; metric; metric spaces; monotone; non; n→+∞; pages; point; proof; radenović; rao; results; sequence; seshagiri; set; spaces; theorem; theory; vol; ξn+1; υn+1
- versions: original; plain text
- cubo-3154
- author: Carpintero, C.; Rosas, E.; Rajesh, N.; Saranyasri, S.
- title: On upper and lower ω-irresolute multifunctions
- date: 2014-10-01
- words: 4841
- flesch: 87
- summary: A point x ∈ X is called a condensation point of A if for each U ∈ τ with x ∈ U, the set U ∩ A is uncountable. ∈ U ⊂ F+(V)
- keywords: closed; f(x; f(x0; f+(v; l.ω; lower; multifunction; neighborhood; open; point; proof; set; space; subset; theorem; u.ω; upper; ωo(x; ωo(y
- versions: original; plain text
- cubo-3205
- author: Craig, Andrew; Haviar, Miroslav; São João, José
- title: Dual digraphs of finite semidistributive lattices
- date: 2022-12-21
- words: 10671
- flesch: 79
- summary: = vE if and only if u 61 v and v 61 u. We can finally summarise the previous results in the following characterisations of join-semidistribu- tivity, meet-semidistributivity and semidistributivity of finite lattices via the properties of their dual digraphs: CUBO 24, 3 (2022) Dual digraphs of finite semidistributive lattices 381 Corollary 3.9. This open access article is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. http://cubo.ufro.cl/ https://doi.org/10.56754/0719-0646.2403.0369 CUBO 24, 3 (2022) Dual digraphs of finite semidistributive lattices 371 1 Introduction Semidistributivity was first described by Jónsson
- keywords: closed; closure; craig; cubo; definition; digraph; disjoint; dominating; dual; dual digraph; element; filter; finite; finite lattice; finite semidistributive; form; haviar; ideal; join; lattice; lemma; maximal; mdfips; meet; minimal; order; pair; ploščica; prime; proof; proposition; relation; representation; semidistributive; set; theorem; tirs; transitive; urquhart; vertex; vertices; vol; ↑x,↓y; ∈ v
- versions: original; plain text
- cubo-3206
- author: Georgiev, Svetlin; Majdoub, Mohamed
- title: Two nonnegative solutions for two-dimensional nonlinear wave equations
- date: 2022-12-21
- words: 6033
- flesch: 91
- summary: x2 0 sign(x1)sign(x2)(x1 − s1)2(x2 − s2)2g(t1, s1, s2) × − log |x − ξ| ) dξ = (h1 + h2t) p 2π (∫ |x−ξ|≤t log(t
- keywords: cubo; dimensional; equations; existence; g(t1; georgiev; ivp; j=1; lemma; log; l∑ j=1; majdoub; mebarki; nonlinear; nonnegative; positive; proof; r))pj; s1)2(x2; sign(x1)sign(x2)(x1; solutions; t1)2; vol; wave; ∣∣∣∣
- versions: original; plain text
- cubo-3207
- author: Panigrahi, Saroj; Rout, Sandip
- title: Existence of positive solutions for a nonlinear semipositone boundary value problems on a time scale
- date: 2022-12-21
- words: 7041
- flesch: 94
- summary: = 1, M = 1, α, β, γ, δ ≥ 0, g(t, y) = y ln(1+y) and h(t, y) = √ y sin y 6 . First we show that Tλ(K) ⊂ K. Let y ∈ K and t
- keywords: boundary; c[ρ(c; conditions; cubo; existence; g(s; g(t; h(t; h1)–(h3; lemma; max; min; nonlinear; positive; problem; proof; semipositone; small; solutions; t ∈; theorem; time; t∈[t1; value; x(s; y(s; y(t; λ2h(s; ρ(c; ρ(c)≤t≤σ(d; σ(d)]t
- versions: original; plain text
- cubo-3208
- author: Bouaouid, Mohamed; Kajouni, Ahmed; Hilal, Khalid; Melliani, Said
- title: A class of nonlocal impulsive differential equations with conformable fractional derivative
- date: 2022-12-21
- words: 6561
- flesch: 82
- summary: [10] M. Bouaouid, “Mild solutions of a class of conformable fractional differential equations with nonlocal conditions”, Acta Math. [11] M. Bouaouid, M. Atraoui, K. Hilal and S. Melliani, “Fractional differential equations with nonlocal-delay condition”, J. Adv.
- keywords: appl; bouaouid; cauchy; conformable; cubo; derivative; differential; equations; existence; f(s; following; fractional; function; g(x; hi(x(ti; hilal; i=1; impulsive; math; melliani; mild; nonlocal; problem; solutions; sup; sα α; sα−1 t; t t; tα α; tα −; tα1; tα2; vol; x(s))ds; x(t; ∣ =; ∣ t; ∣ |; ∣ ∣; ∣ ∫
- versions: original; plain text
- cubo-3209
- author: Saavedra, Manuel; Villavicencio, Helmuth
- title: On the minimum ergodic average and minimal systems
- date: 2022-12-21
- words: 3555
- flesch: 80
- summary: Recall that a point x ∈ X is periodic for T : X → X if T n(x) = x for some n ∈ N and the minimal such n is called the period of T . Given x ∈ X, if X = O(p), then there is nothing to prove.
- keywords: average; c(x; compact; continuous; cubo; e(x; ergodic; i(x; i=0; lemma; lim; measure; metric; minimal; minimum; non; open; point; proof; set; space; systems; transformation; ̺(a; α(f
- versions: original; plain text
- cubo-3210
- author: Gopal, N. S.; Jonnalagadda, J. M.
- title: Positive solutions of nabla fractional boundary value problem
- date: 2022-12-21
- words: 6271
- flesch: 86
- summary: ≤ ∇Eλ,ν,ν−1(t, ρ(a)) for t ∈ Na+1; (4) ∇Eλ,ν,ν−1(t, ρ(a)) is a decreasing function with respect to t for t ∈ Na+1 On the other hand, define the set Ω2 = {u ∈ K : ∥u∥ < r2}.
- keywords: a+2; appl; boundary; b∑ s; calculus; conditions; continuous; cubo; decreasing; definition; difference; discrete; f(t; fractional; function; g(s; g(t; gopal; jonnalagadda; lemma; max; min; nabla; nba+2; point; positive; problem; proof; s)f(s; solutions; theorem; t∈nba; t∈ndc; u(s; u(t; value; vol; ν−1(b; ρ(a; ρ(s; ∈ r; ∥tu∥
- versions: original; plain text
- cubo-3211
- author: Pal, Buddhadev; Kumar, Santosh; Kumar, Pankaj
- title: Einstein warped product spaces on Lie groups
- date: 2022-12-21
- words: 5621
- flesch: 84
- summary: In our paper, from Corollary 3.5, we can say that bi-invariant metric generated by the Killing form on semi-simple compact Lie group G1 is one in which we cannot construct non trivial Einstein warped product with base G1. Let G1 and G2 be semi-simple compact Lie groups of dimensions m1, m2 > 2 and bi-invariant metric tensors coming from their respective Killing forms.
- keywords: = −; compact; compact lie; constant; cubo; curvature; einstein; equation; fiber; form; function; geom; geometry; grad; group; hf1; invariant; invariant metric; killing; kumar; left; lie; lie group; manifold; math; metric; non; pal; product; ric2; riemannian; scalar; semi; simple; space; vol; warped; warped product
- versions: original; plain text
- cubo-3212
- author: Cammaroto, Filippo
- title: Infinitely many solutions for a nonlinear Navier problem involving the \(p\)-biharmonic operator
- date: 2022-12-21
- words: 7030
- flesch: 80
- summary: Then the following facts hold: (r1) if p1 < p < p2, for all λ ∈ R and for all µ > 0, the problem (Pλ,µ) admits a sequence of non-zero weak solutions; (r2) if p1 < p = p2, there exists µ1 > 0 + V (x)|u|p−2u = λh(x)|u|m−2u + µr(x)s(u) in Ω u = ∆u = 0 on Ω (P λ,µ) the following facts hold: (r1) if p1 < p < p2, for all λ ∈ R and for all µ > 0, the problem (P λ,µ) admits a sequence of non-zero weak solutions; (r2) if p1 < p = p2, there exists µ1 > 0
- keywords: = +; b(x0; biharmonic; boundary; cammaroto; case; choice; class; cubo; differential; equations; existence; f(x; following; fourth; functions; g(x; global; lim; math; max; minimum; navier; nonlinear; operator; order; p k; pages; paper; particular; problem; proof; pλ,µ; sequence; similar; solutions; theorem; vol; w(x))dx; weak
- versions: original; plain text
- cubo-3213
- author: Castillo, René Erlín; Sultan, Babar
- title: A derivative-type operator and its application to the solvability of a nonlinear three point boundary value problem
- date: 2022-12-21
- words: 6042
- flesch: 79
- summary: = n∑ j=0 D(φ,j)ω (f)(a) I (φ,j) ω (1)(x) + Rn(x), (4.1) with Rn(x) = g(x) − g(a) D (φ,n) ω g(ξ) ( D(φ,n)ω (f)(ξ) − D (φ,n) ω (f)(a) ) , (4.2) where x ̸= a and ξ is between a and x. Proof. − D (φ,1) ω (Rn)(a) D (φ,1) ω (g)(θ1)
- keywords: application; boundary; c2[0; castillo; conformable; continuous; cubo; derivative; differential; equation; existence; e−λ; f(x; formula; fractional; function; g(s; integral; k(s; new; nonlinear; operator; order; point; problem; proof; solution; solvability; sultan; sup; theorem; type; value; variable; vol; x(s; |f(s; βe−λη; φ(s; ω′(s; ∣∣∣∣∆
- versions: original; plain text
- cubo-3214
- author: Milovanović, Gradimir V.; Mir, Abdullah; Hussain, Adil
- title: Estimates for the polar derivative of a constrained polynomial on a disk
- date: 2022-12-21
- words: 5203
- flesch: 80
- summary: |P(z)| + ( |β| + 1 kn−1 ) mk } + ( |β| − k 1 + kn ){ s + √ kn−s|an−s| − mk − √ |a0|√ kn−s|an−s| − mk }( max |z|=1 |P(z)| − mk kn ) , (2.1) where mk = min|z|=k |P(z)|. + ( |β| + 1 kn−1 ) mk } + ( |β| − k 1 + kn ){ s + √ kn−s|an−s| − mk − √ |a0|√ kn−s|an−s| − mk }( max |z|=1 |P(z)| − mk kn ) , which is exactly (2.1).
- keywords: aνz; complex; constrained; cubo; degree; degree n; derivative; govil; inequalities; inequality; k k; kn max; kn−s|an−s|; lemma; math; max; max |z|=1; milovanović; mir; number; polar; polynomial; theorem; vol; zeros; |a0|; |dβp(z)|; |p(z)|; |q′(z)|; |z|=1; |z|=1 |p(z)|; |β|; ν=0; ′(z)|; − mk; − √; ≥ n
- versions: original; plain text