Strongly damped wave equations with Stepanov type nonlinear forcing term

Abstract

Abstract In this paper we investigate the existence and uniqueness of weighted pseudo almost automorphic mild solution for a class of strongly damped wave equations where the semilinear forcing term is a Stepanov weighted pseudo almost automorphic function.

Keywords

• Weighted Stepanov pseudo almost automorphic
• Integral equations
• Strongly damped wave
• Abstract Cauchy problems