Weighted pseudo almost automorphic solutions to functional differential equations with infinite delay

Abstract

In this article, we first establish some results on composition of Stepanov-like weighted pseudo almost automorphic functions so called class r and class infinity under a uniform continuity condition with respect to L^p-norm. And then, we study the existence and uniqueness of weighted pseudo almost automorphic solutions to an abstract partial neutral functional differential equation with infinite delay with a Stepanov-like nonlinear term.

Keywords

• Stepanov-like weighted function
• functional differential equation
• pseudo almost automorphic function
• infinite delay