Weighted Pseudo Almost Automorphy of Semilinear Boundary Differential Equations (Succession and Innovation of Studies on ODEs in Real Domains)

Abstract

In this paper, we investigate the existence and uniqueness of weighted pseudo almost automorphic mild solutions to semilinear boundary differential equations in Banach space, where the nonlinear perturbation is weighted pseudo almost automorphic type or weighted Stepanov-like pseudo almost automorphic type. As applications, some interesting examples are presented to illustrate the main findings.