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Research Article | Open Access

Asymptotic behavior of Levin-Nohel nonlinear difference system with several delays

Mouataz Billah Mesmouli1( ), Cemil Tunç2, Taher S. Hassan1,3, Hasan Nihal Zaidi1, Adel A. Attiya1,3
Department of Mathematics, College of Science, University of Ha'il, Ha'il 2440, Saudi Arabia
Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, 65080, Campus, Turkey
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
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Abstract

In this manuscript, we considered a system of difference equations with delays and we established sufficient conditions to guarantee stability, asymptotic stability and exponential stability. In each type of stability, we created an appropriate space that guarantees us the existence of a fixed point that achieves the required stability.

Keywords

delay difference systemfixed pointsfundamental matrixasymptotic stabilityexponential stability
CLC number: 39A30

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AIMS Mathematics
Volume 9 Issue 1,
January 2024
Pages 1831-1839
DOI: 10.3934/math.2024089

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Cite this article:
Mesmouli MB, Tunç C, Hassan TS, et al. Asymptotic behavior of Levin-Nohel nonlinear difference system with several delays. AIMS Mathematics, 2024, 9(1): 1831-1839. https://doi.org/10.3934/math.2024089

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Received: 07 November 2023
Revised: 05 December 2023
Accepted: 10 December 2023
Published: 15 January 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)