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

摘要

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