Delta-Differentiable Weighted Pseudo-Almost Automorphicity on Time–Space Scales for a Novel Class of High-Order Competitive Neural Networks with WPAA Coefficients and Mixed Delays

摘要

In this paper, we consider a novel class of high-order competitive neural networks with mixed delays. Different from the previous literature, we study the existence and exponential stability of weighted pseudo-almost automorphic on time–space scales solutions for the suggested system. Our method is mainly based on the Banach’s fixed point theorem, the theory of calculus on time scales and the Lyapunov–Krasovskii functional method. Moreover, a numerical example is given to show the effectiveness of the main results.