Measure-pseudo almost periodic dynamical behaviors for BAM neural networks with D operator and hybrid time-varying delays

Abstract

In this work, we are interested in a class of Bi-directional associative memory neural networks (BAMNNs) with hybrid time-varying delays and D operator. We establish some sufficient conditions to guarantee the existence and global exponential stability of measure-pseudo almost periodic solutions of the considered BAMNNs, using contraction mapping principle, exponential dichotomy theory, differential inequality techniques, and the properties of the measure-pseudo almost periodic functions. A numerical example along with a graphical illustration are presented to support the effectiveness and feasibility of the obtained results. The results in this paper are original and complement the previous outcomes.