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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Key Words: Difference Equations, Local Stability, Period-two Solutions.
📌 3 Key Takeaways
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Objective & Hypothesis:Our aim in this paper is to investigate the local stability of the positive solutions of the difference equation y n+1 = [(α-y n )/ (βy n-1 )] − [(γ-y n-1 )/ βy n ] , n=0,1,2,..., where the initial conditions y −1 , y 0 are arbitrary positive real numbers such that y n ≠ 0 for n= −1,0,1,..., , α, β, γ ε (0,∞) and α > γ.
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Key Findings & Data:Furthermore we investigate the periodic nature of the mentioned difference equation.
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Conclusion & Impact:Key Words: Difference Equations, Local Stability, Period-two Solutions.
🔬Design:Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
Our aim in this paper is to investigate the local stability of the positive solutions of the difference equation y n+1 = [(α-y n )/ (βy n-1 )] − [(γ-y n-1 )/ βy n ] , n=0,1,2,..., where the initial conditions y −1 , y 0 are arbitrary positive real numbers such that y n ≠ 0 for n= −1,0,1,..., , α, β, γ ε (0,∞) and α > γ. Furthermore we investigate the periodic nature of the mentioned difference equation. Key Words: Difference Equations, Local Stability, Period-two Solutions.
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Cite This Article
Zengin, S., Öztürk, İ., Bozkurt, F. (2010). On the Dynamics of the Recursive Sequence. Gazi University Journal of Science, Volume: 23 Issue: 1. https://ajindex.com/articles/1270009