On the difference equation \(y_{n+1}=A + \frac {y_n}{y_{n-k}}\) with \(A < 0\)

DOI10.1016/J.AMC.2005.09.023zbMath1096.39011OpenAlexW2572290093MaRDI QIDQ2493781

Yanyan Li

Publication date: 16 June 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2005.09.023

zbMATH Keywords

equilibriumrecursive sequenceglobal asymptotic stabilityrational difference equation

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20)

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Cites Work

• Unnamed Item
• On the recursive sequence \(x_{n+1}=\alpha+x_{n-1}/x_n\)
• The asymptotic stability of \(x_{n+1}-ax_ n+bx_{n-k}=0\)
• On asymptotic behaviour of the difference equation \(x_{x+1}=\alpha + \frac {x_{n-k}}{x_n}\)
• Global stability of \(y_{n+1}=A+\frac{y_n}{y_{n-k}}\)
• On the recursive sequence \(y_{n+1}=(p+y_{n-1})/(qy_n+y_{n-1})\)
• Global behavior of \(y_{n+1}=\frac{p+y_{n-k}}{qy_n+y_{n-k}}\).
• 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}
• On the Asymptotic Stability of a Class of Linear Difference Equations

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