Existence and uniqueness of pseudo S-asymptotically (w, c)-periodic solutions with measure for some systems of neutral integral equations

Abstract

In this article, we study a new extension of the (w, c)-periodic functions that we call measure pseudo S-asymptotically (w, c)-periodic functions using the measure theory. By employing an adequate fixed point theorem
and differential inequality, we investigate the existence and uniqueness of µ − pseudo S-asymptotically (w, c)-periodic solutions for systems of neutral integral equations. For explanation, numerical example is given to clarify
our main results.