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Journals / Results in Nonlinear Analysis / 2018 / Cilt: 1 - Sayı: 1

On the global stability of some k-order difference equations

Vasile BERİNDE
Hafiz FUKHAR-UD-DİN
Mădălina PĂCURAR
Pages
13–18
Publication Date
2018-03-15
DOI
—
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AI Summary & Key Takeaways

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

In this way, we can study the global stability for more general initial value problems associated with particular forms of difference equations.

📌 3 Key Takeaways

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Objective & Hypothesis:We use two different techniques, one of them including fixed point tools, i.e., the Prešić type fixed point theorem, in order to study the asymptotic stability of some k-order difference equations for k = 1 and k = 2.
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Key Findings & Data:We use two different techniques, one of them including fixed point tools, i.e., the Prešić type fixed point theorem, in order to study the asymptotic stability of some k-order difference equations for k = 1 and k = 2.
💡
Conclusion & Impact:In this way, we can study the global stability for more general initial value problems associated with particular forms of difference equations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Difference equation · Equilibrium point · Global attractor

Abstract

We use two different techniques, one of them including fixed point tools, i.e., the Prešić type fixed point theorem, in order to study the asymptotic stability of some k-order difference equations for k = 1 and k = 2. In this way, we can study the global stability for more general initial value problems associated with particular forms of difference equations.

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Cite This Article

BERİNDE, V., FUKHAR-UD-DİN, H., PĂCURAR, M. (2018). On the global stability of some k-order difference equations. Results in Nonlinear Analysis, Cilt: 1 - Sayı: 1, 13–18. https://ajindex.com/articles/797794

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References (2)

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