id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-1658	Karakostas, George L.	Existence of solutions for a n-dimensional systems of nonlocal boundary value problems	2025	35	.pdf	application/pdf	15320	774	83	+ ∫ t 0 Θ(s)−1dsΘ(0)x′(0) + ∫ t 0 Θ(s)−1 ∫ s 0 (Nx)(u) du ds, (2.4) which will be used to express the solution as a fixed point of an operator equation. The quantity ρ1 := V (A−1 0 Ψ0) + ∥(A−1 0 B0 + ∫ 1 0 Θ(s)−1dsΘ(0))P−1 1 ∥E ( V (A0Ψ1) + V (A1Ψ0) ) satisfies the condition ρ1 < 1 and moreover condition (H0) is satisfied with ρ1 and the constants M1 := ∥(A−1 0 B0 + ∫ t 0 Θ(s)−1dsΘ(0))P−1( ∫ 1 u Θ(s)−1ds+B1Θ(1)−1)∥E + ∫ 1 0 ∥Θ(s)−1∥Eds, K1 := |A−1 0	cache/ejde-1658.pdf	txt/ejde-1658.txt
