Asymptotically almost automorphy for impulsive integrodifferential evolution equations with infinite time delay via Mönch fixed point

Abstract

This research investigates the existence of piecewise asymptotically almost automorphic mild solutions for integrodifferential equations with infinite delay. The existence results are proved by using the Mönch's fixed point theorem, the concept of measures of non-compactness theorem and resolvent operator. Finally, an example is presented to illustrate our obtained results.