Work

On the global behavior and the periodicity of the solutions of a $ k $-dimensional system of difference equations

Year: 2025

Type: article

Abstract: In this work, we provide a detailed study on the behavior of solutions of a $ k $-dimensional system of rational difference equations, extending some existing results in the literature. We use the linearized stability theory to establish conditions for the local stability of the corresponding unique equilibrium point, and to show its global stability, we prove that the equilibrium point is a global attractor. Also, conditions for the existence of periodic solutions are provided. Our obtained results are confirmed by some examples.

Source: AIMS Mathematics

DOI: 10.3934/math.2025799

Authors: Mouataz Billah Mesmouli, Nouressadat Touafek, Ioan-Lucian Popa, Abdelkader Moumen, Taher S. Hassan

Institutions: University of Ha'il, University of Jijel, Transylvania University of Brașov, 1 Decembrie 1918 University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

OpenAlex ID: W4413039496