$(ω,ρ)$-Periodic solutions of abstract integro-differential impulsive equations on Banach space

Abstract

In this paper, we investigate the existence and uniqueness of (ω, ρ)periodic solutions for a class of the abstract impulsive integro-differential equations on Banach space.

$$(\omega ,Q)$$-periodic mild solutions for a class of semilinear abstract differential equations and applications to Hopfield-type neural network model

“…Outside the works of [12,13], we remark that not much seems to be known about the regularity of mild solutions of (1.1) in the space A ff P (R, X, ω, Q) and its applications to neural networks. In contrast with the papers [12,13], which consider impulses and the study the regularity in the space P C(R + , X) with the norm sup t∈R+ y (y ∈ P C(R + , X)), the main novelties of the present article are as follows:…”