Composition of weighted pseudo-almost automorphic functions and hyperbolic differential equations

Abstract

This paper is concerned with weighted pseudo-almost automorphic functions, which are more general and complicated than pseudo-almost automorphic functions. New results, concerning the composition of weighted pseudo-almost automorphic functions and the existence of weighted pseudo-almost automorphic solutions to the class of perturbed hyperbolic differential equations, are established. Our results improve and generalize some recent results.