On the difference equation \(x_{n+1}=\alpha +\frac{x^p_n}{x^p_{n-1}}\)

DOI10.1007/BF02832362zbMath1137.39002OpenAlexW2027975945MaRDI QIDQ2471345

Marwan Aloqeili

Publication date: 22 February 2008

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02832362

zbMATH Keywords

asymptotic behaviorequilibriumrecursive sequenceglobal asymptotic stabilityrational difference equations

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Stability theory for difference equations (39A30)

Related Items (1)

Qualitative study of a second order difference equation

Cites Work

• On the recursive sequence \(x_{n+1}=\alpha+x_{n-1}/x_n\)
• On asymptotic behaviour of the difference equation \(x_{x+1}=\alpha + \frac {x_{n-k}}{x_n}\)
• On asymptotic behaviour of the difference equation \(x_{n+1} = \alpha+\frac{x_{n-1}^p}{x_n^p}\).
• Global stability of \(y_{n+1}=A+\frac{y_n}{y_{n-k}}\)
• On the recursive sequence \(x_{n+1}=\alpha+\frac{x^p_{n-1}}{x_n^p}\)
• On the rational difference equation \(y_{n+1}= A+ \frac {y_{n-k}}{y_{n}}\)
• On the recursive sequence 𝑥_{𝑛+1}=\frac{𝐴}𝑥_{𝑛}+\frac{1}𝑥_{𝑛-2}

This page was built for publication: On the difference equation \(x_{n+1}=\alpha +\frac{x^p_n}{x^p_{n-1}}\)