Almost periodic solutions of retarded SICNNs with functional response on piecewise constant argument

TL;DR

This paper studies the existence and stability of almost periodic solutions in a new model of retarded shunting inhibitory cellular neural networks with piecewise constant argument, providing theoretical results and an example.

Contribution

It introduces a novel model for SICNNs with piecewise constant argument and analyzes the existence and stability of almost periodic solutions.

Findings

Existence of almost periodic solutions is established.

Exponential stability of these solutions is proven.

An illustrative example demonstrates the theoretical results.

Abstract

We consider a new model for shunting inhibitory cellular neural networks, retarded functional differential equations with piecewise constant argument. The existence and exponential stability of almost periodic solutions are investigated. An illustrative example is provided.