Periodic and Asymptotically Periodic Solutions of Systems of Nonlinear Difference Equations with Infinite Delay

TL;DR

This paper investigates the existence of periodic and asymptotically periodic solutions in nonlinear Volterra difference systems with infinite delay, using fixed point theory to establish sufficient conditions.

Contribution

It introduces new conditions for the existence of periodic solutions in nonlinear difference equations with infinite delay, expanding the theoretical understanding.

Findings

Established conditions for periodic solutions

Proved existence of asymptotically periodic solutions

Applied fixed point theory to nonlinear systems

Abstract

In this work we study the existence of periodic and asymptotically periodic solutions of a system of nonlinear Volterra difference equations with infinite delay. By means of fixed point theory, we furnish conditions that guarantee the existence of such periodic solutions.