Stepanov stability for delayed Lotka–Volterra recurrent neural networks on time scales

Abstract

This paper studies the existence, uniqueness, asymptotic and -globally exponential stability of Stepanov-like pseudo almost automorphic solution to Lotka–Volterra recurrent neural networks (LVRNNs) with time-varying delays on time scales by applying D-matrix theory, Banach fixed point theorem, constructing a suitable Lyapunov functional and the theory of time scales calculations. An example and simulations are given to prove the effectiveness of main theoretical results.