Existence of measure pseudo-almost automorphic functions and applications to impulsive integro-differential equation

Chaos. 2021 Sep;31(9):093126. doi: 10.1063/5.0060319.

Abstract

This article's main objective is to establish the measure pseudo-almost automorphic solution of an integro-differential equation with impulses. We develop the existence results based on the Banach contraction principle mapping and Krasnoselskii and Krasnoselskii-Schaefer type fixed point theorems. Finally, some examples are given to illustrate the significance of our theoretical findings.