id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-515	da Silva, Severino Horacio	Asymptotic behavior for a non-autonomous model of neural fields with variable external stimuli	2020	16	.pdf	application/pdf	6784	328	71	Let us fix ε > 0 and t ∈ R. Thus choose τ ∈ R, τ ≤ t, such that distH(TS0 (t, τ)B(0, R),AS0 (t)) Moreover if |f(t, x)− f(t, y)| ≤ C2(t)(1 + |x|p−1 + |y|p−1)|x− y|, (2.9) for any (x, y) ∈ RN×RN , t ∈ R, and for some strictly positive function C2 : R→ R, then, for any 1 ≤ p <∞, the function F is locally Lipschitz continuous on bounded sets with respect to the second variable.	cache/ejde-515.pdf	txt/ejde-515.txt