Article citationsMore>>

Dimbour, W. and Manou-Abi, S. (2018) S-Asymptotically ω-Periodic Solution for a Nonlinear Differential Equation with Piecewise Constant Argument via S-Asymptotically ω-Periodic Functions in the Stepanov Sense. Journal of Nonlinear Systems and Applications, 7, 14-20.

has been cited by the following article:

• TITLE: A Set of Almost Automorphic Functions and Applications

  AUTHORS: William Dimbour, Vincent Valmorin

  KEYWORDS: Almost Automorphic Functions, S-Almost Automorphic Functions, Differential Equation with Piecewise Constant Argument of Generalized Type

  JOURNAL NAME: Applied Mathematics, Vol.15 No.1, January 19, 2024

  ABSTRACT: For a set S of real numbers, we introduce the concept of S-almost automorphic functions valued in a Banach space. It generalizes in particular the space of Z-almost automorphic functions. Considering the space of S-almost automorphic functions, we give sufficient conditions of the existence and uniqueness of almost automorphic solutions of a differential equation with a piecewise constant argument of generalized type. This is done using the Banach fixed point theorem.