ON THE WEIGHTED PSEUDO ALMOST PERIODIC SOLUTIONS FOR LIÉNARD -TYPE SYSTEMS WITH VARIABLE DELAYS

Abstract

This study deals with Lienard-type differential equation systems with time-varying delays. Some sufficient conditions have been obtained for the existence and uniqueness of the weighted pseudo almost periodic solutions of the considered system by using some differential inequalities, the main features of the weighted pseudo almost periodic and Banach Fixed Point Theorem. Since the weighted pseudo almost periodic functions space is more general than the almost and pseudo almost pseudo periodic functions space, this work is a new and complementary. In addition, an example is given to show the correctness of the created conditions.