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Journals / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 5

DYNAMICS AND GLOBAL BEHAVIOR FOR A FOURTH-ORDER RATIONAL DIFFERENCE EQUATION

M. M. EL-DESSOKY
E. M. ELSAYED
Pages
7904–9321
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

Also, we give the solutionof some special cases of this equation.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper we study the behavior of the rational difference equationof the fourth orderx n+1 = ax n + bx n x n−2 cx n−2 + dx n−3 , n = 0, 1, ...,where the initial conditions x−3 , x −2 , x −1 , x are arbitrary positive realnumbers and a, b, c, d are positive constants.
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Key Findings & Data:In this paper we study the behavior of the rational difference equationof the fourth orderx n+1 = ax n + bx n x n−2 cx n−2 + dx n−3 , n = 0, 1, ...,where the initial conditions x−3 , x −2 , x −1 , x are arbitrary positive realnumbers and a, b, c, d are positive constants.
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Conclusion & Impact:Also, we give the solutionof some special cases of this equation.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:difference equations · stability · boundedness

Abstract

In this paper we study the behavior of the rational difference equationof the fourth orderx n+1 = ax n + bx n x n−2 cx n−2 + dx n−3 , n = 0, 1, ...,where the initial conditions x−3 , x −2 , x −1 , x are arbitrary positive realnumbers and a, b, c, d are positive constants. Also, we give the solutionof some special cases of this equation.

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Cite This Article

EL-DESSOKY, M. M., ELSAYED, E. M. (2022). DYNAMICS AND GLOBAL BEHAVIOR FOR A FOURTH-ORDER RATIONAL DIFFERENCE EQUATION. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 5, 7904–9321. https://ajindex.com/articles/530419

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