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Journals / Hittite Journal of Science and Engineering / 2018 / Cilt: 5 - Sayı: 2

Explicit Solutions of a Three-dimensional System of Nonlinear Difference Equations

Durhasan Turgut TOLLU
Bahriye YILMAZYILDIRIM
Pages
119–123
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 determine the forbidden set of the initial values xyz , , for the above mentioned system and investigate asymptotic behavior of the well-defined solutions by using these explicit formulas

📌 3 Key Takeaways

🎯
Objective & Hypothesis:I n this paper, we show that the system of difference equations 1 11 0 , , , N , 111 n n nn nn n nn n n n n n n xy yz zx xyz n xy yz zx + ++ + ++ = = = ∈ +++ where the initial values xyz , , are real numbers, are solvable in explicit form via some changes of variables and tricks.
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Key Findings & Data:I n this paper, we show that the system of difference equations 1 11 0 , , , N , 111 n n nn nn n nn n n n n n n xy yz zx xyz n xy yz zx + ++ + ++ = = = ∈ +++ where the initial values xyz , , are real numbers, are solvable in explicit form via some changes of variables and tricks.
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Conclusion & Impact:Also, we determine the forbidden set of the initial values xyz , , for the above mentioned system and investigate asymptotic behavior of the well-defined solutions by using these explicit formulas
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Asymptotic behavior · explicit solution · rational difference equation

Abstract

I n this paper, we show that the system of difference equations 1 11 0 , , , N , 111 n n nn nn n nn n n n n n n xy yz zx xyz n xy yz zx + ++ + ++ = = = ∈ +++ where the initial values xyz , , are real numbers, are solvable in explicit form via some changes of variables and tricks. Also, we determine the forbidden set of the initial values xyz , , for the above mentioned system and investigate asymptotic behavior of the well-defined solutions by using these explicit formulas

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Cite This Article

TOLLU, D. T., YILMAZYILDIRIM, B. (2022). Explicit Solutions of a Three-dimensional System of Nonlinear Difference Equations. Hittite Journal of Science and Engineering, Cilt: 5 - Sayı: 2, 119–123. https://ajindex.com/articles/538023

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