Existence of Measure Pseudo-Almost Automorphic Functions and Applications To Impulsive Integro-Differential Equation

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.Published under an exclusive license by AIP Publishing