Asymptotically ω -Periodic Functions in the Stepanov Sense and Its Application for an Advanced Differential Equation with Piecewise Constant Argument in a Banach Space

Abstract

In this paper, we give sufficient conditions for the existence and uniqueness of asymptotically ω-periodic solutions for a nonlinear differential equation with piecewise constant argument in a Banach space via asymptotically ω-periodic functions in the Stepanov sense. This is done using the Banach fixed point Theorem..