The analysis of some special solutions of Mackey–Glass equation with variable delays

Abstract

This study is about getting some conditions that guarantee the existence and uniqueness of the weighted pseudo almost periodic (WPAP) solutions of Mackey-Glass with time-varying delays. Some adequate conditions have been obtained for the existence and uniqueness of the WPAP solutions of the Mackey-Glass, which we dealt with using some differential equation inequalities, the WPAP theory, and the Banach fixed-point theorem. Besides, an example is given to demonstrate the accuracy of the conditions of our main results.