Existence of asymptotically almost automorphic mild solutions for nonautonomous semilinear evolution equations

Abstract

In this article, we study the existence of asymptotically almost automorphic mild solutions for a class of nonautonomous semilinear evolution equations and extend some related results in this direction. The working tools are based on the Krasnoselskii's fixed point theorem and compactness criterion. Finally, an example is presented to illustrate the main findings.

Keywords

• Nonautonomous semilinear evolution equation
• asymptotic almost automorphy
• compact semigroup