id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-546	Devi, Darshana; Chutia, Duranta; Haloi, Rajib	Rothe's method for solving semi-linear differential equations with deviating arguments	2020	10	.pdf	application/pdf	3933	280	79	= 1 Γ(α) ∫ t 0 u(s) (t− s)1−α ds+ f(t), t ∈ (0, T ], u(0) = u0, where 0 < α < 1, -A is the infinitesimal generator of a C0-semigroup of contractions, f is a given map from [0, T ] to X, and the initial point u0 ∈ D(A) ⊂ X, the domain of A. Dubey = f(t, u(t), ut), t ∈ (0, T ], h(u0) = φ on [−τ, 0], where 0 < T < ∞, φ ∈ C0 := C([−τ, 0];X), τ > 0, the nonlinear operator A is single-valued and m-accretive defined from the domain D(A) ⊂ X to X, the nonlinear map f is defined from [0, T ]×X×C0 to X, the map h is defined from C0 to C0.	cache/ejde-546.pdf	txt/ejde-546.txt