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Journals / Communications in Advanced Mathematical Sciences / 2019 / Cilt: 2 - Sayı: 1

Analytical and Solutions of Fourth Order Difference Equations

Marwa M. ALZUBAİDİ
Elsayed M. ELSAYED
Pages
9–21
Publication Date
2019-03-22
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Also, we studied some dynamic behavior of these equations.

📌 3 Key Takeaways

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Objective & Hypothesis:In this article, we presented the solutions of the following recursive sequences\[ x_{n+1}=\frac{x_{n-2}x_{n-3}}{x_{n}(\pm1\pm x_{n-2}x_{n-3})}, \] where the initial conditions $x_{-3}\ ,x_{-2}\ ,x_{-1}$\ and $x_{0}\ $are arbitrary real numbers.
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Key Findings & Data:In this article, we presented the solutions of the following recursive sequences\[ x_{n+1}=\frac{x_{n-2}x_{n-3}}{x_{n}(\pm1\pm x_{n-2}x_{n-3})}, \] where the initial conditions $x_{-3}\ ,x_{-2}\ ,x_{-1}$\ and $x_{0}\ $are arbitrary real numbers.
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Conclusion & Impact:Also, we studied some dynamic behavior of these equations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Stability · Global attractor · Difference equation

Abstract

In this article, we presented the solutions of the following recursive sequences\[ x_{n+1}=\frac{x_{n-2}x_{n-3}}{x_{n}(\pm1\pm x_{n-2}x_{n-3})}, \] where the initial conditions $x_{-3}\ ,x_{-2}\ ,x_{-1}$\ and $x_{0}\ $are arbitrary real numbers. Also, we studied some dynamic behavior of these equations.

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Cite This Article

ALZUBAİDİ, M. M., ELSAYED, E. M. (2019). Analytical and Solutions of Fourth Order Difference Equations. Communications in Advanced Mathematical Sciences, Cilt: 2 - Sayı: 1, 9–21. https://ajindex.com/articles/748300

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