Measure pseudo almost automorphic solution of impulsive differential equation

Abstract

This article deals with the concept of measure pseudo almost automorphic functions with impulsive effects. Then, based on systematic study associated with impulsive condition, the existence and uniqueness theorem is established. As far as we know, this is the first article to analyze such type of solutions with impulses. The Krasnoselskii's fixed point theorem is considered as a working tool to prove the main results. Also, an example is given to illustrate the significance of our findings.