Generalized Stepanov-like pseudo almost automorphic solutions to some classes of nonautonomous evolution equations

Abstract

In this paper, Under Acquistapace-Terreni conditions, we make extensive use of interpolation spaces and exponential dichotomy techniques to obtain the existence of generalized Stepanov-like pseudo almost automorphic solutions to some classes of nonautonomous partial evolution equations. Our results extend many recent known ones on this topics. An interesting example is presented at the end of the paper to illustrate the main findings.