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Dergiler / Communications in Advanced Mathematical Sciences / 2023 / Cilt: 6 Sayı: 1

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

Mohamed ABD EL-MONEAM
Sayfa
31–43
Yayın Tarihi
2023-03-31
DOI
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We will give also, some numerical examples to illustrate our results.

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Amaç & Hipotez: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.
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Temel Bulgular & Veri:We also study the rate of convergence and oscillation behaviour of the solutions of related system.
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Sonuç & Katkı:We will give also, some numerical examples to illustrate our results.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:difference equations · Global asymptotic stability · system

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.

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Bu Makaleye Atıf Yap

EL-MONEAM, M. A. (2023). Global Asymptotic Stability of a System of Difference Equations with Quadratic Terms. Communications in Advanced Mathematical Sciences, Cilt: 6 Sayı: 1, 31–43. https://ajindex.com/articles/903610

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Kaynakça (17)

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