PSEUDOASYMPTOTICALLY BLOCH PERIODIC SOLUTIONS WITH MEASURES FOR SOME DIFFERENTIAL EQUATIONS

Abstract

We focus on the $({\mu }_1,{\mu }_2)$-pseudoasymptotically Bloch $\tau$-periodicity and its applications. Firstly, we define a new notion of $({\mu }_1,{\mu }_2)$-pseudoasymptotically Bloch $\tau$-periodic functions and some fundamental properties. Then, we apply the obtained results to investigate the existence and uniqueness of $({\mu }_1,{\mu }_2)$-pseudoasymptotically Bloch $\tau$-periodic mild solutions to semilinear evolution equation in Banach spaces. Finally, we gave an application that facilitates the work.