Global Asymptotic Stability of a System of Difference Equations with Quadratic Terms

Mohamed Abd El-moneam

doi:10.33434/cams.1230130

EN

Global Asymptotic Stability of a System of Difference Equations with Quadratic Terms

Abstract

In this article, we discuss the global asymptotic stability of following system of difference equations with quadratic terms: $x_{i+1}=\alpha+\beta \frac{y_{i-1}}{y_{i}^{2}},\quad y_{i+1}=\alpha+\beta \frac{x_{i-1}}{x_{i}^{2} }$ where $\alpha$, $\beta$ are positive numbers and the initial values are positive numbers. We also study the rate of convergence and oscillation behaviour of the solutions of related system. We will give also, some numerical examples to illustrate our results.

Keywords

difference equations, Global asymptotic stability, system

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Mohamed Abd El-moneam ^*
0000-0002-1676-2662
Egypt

Publication Date

March 31, 2023

Submission Date

January 5, 2023

Acceptance Date

March 9, 2023

Published in Issue

Year 2023 Volume: 6 Number: 1

DOI

https://doi.org/10.33434/cams.1230130

IZ

https://izlik.org/JA66UR22DU

APA

Abd El-moneam, M. (2023). Global Asymptotic Stability of a System of Difference Equations with Quadratic Terms. Communications in Advanced Mathematical Sciences, 6(1), 31-43. https://doi.org/10.33434/cams.1230130

AMA

1.Abd El-moneam M. Global Asymptotic Stability of a System of Difference Equations with Quadratic Terms. Communications in Advanced Mathematical Sciences. 2023;6(1):31-43. doi:10.33434/cams.1230130

Chicago

Abd El-moneam, Mohamed. 2023. “Global Asymptotic Stability of a System of Difference Equations With Quadratic Terms”. Communications in Advanced Mathematical Sciences 6 (1): 31-43. https://doi.org/10.33434/cams.1230130.

EndNote

Abd El-moneam M (March 1, 2023) Global Asymptotic Stability of a System of Difference Equations with Quadratic Terms. Communications in Advanced Mathematical Sciences 6 1 31–43.

IEEE

[1]M. Abd El-moneam, “Global Asymptotic Stability of a System of Difference Equations with Quadratic Terms”, Communications in Advanced Mathematical Sciences, vol. 6, no. 1, pp. 31–43, Mar. 2023, doi: 10.33434/cams.1230130.

ISNAD

Abd El-moneam, Mohamed. “Global Asymptotic Stability of a System of Difference Equations With Quadratic Terms”. Communications in Advanced Mathematical Sciences 6/1 (March 1, 2023): 31-43. https://doi.org/10.33434/cams.1230130.

JAMA

1.Abd El-moneam M. Global Asymptotic Stability of a System of Difference Equations with Quadratic Terms. Communications in Advanced Mathematical Sciences. 2023;6:31–43.

MLA

Abd El-moneam, Mohamed. “Global Asymptotic Stability of a System of Difference Equations With Quadratic Terms”. Communications in Advanced Mathematical Sciences, vol. 6, no. 1, Mar. 2023, pp. 31-43, doi:10.33434/cams.1230130.

Vancouver

1.Mohamed Abd El-moneam. Global Asymptotic Stability of a System of Difference Equations with Quadratic Terms. Communications in Advanced Mathematical Sciences. 2023 Mar. 1;6(1):31-43. doi:10.33434/cams.1230130

Cited By

Stability analysis of a three-dimensional system of difference equations with quadratic terms

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https://doi.org/10.1007/s12190-024-02057-9

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