The periodic character of positive solutions of the difference equation \(x _{n+1} = f(x _{n},x_{n - k})\)

DOI10.1016/J.CAMWA.2006.01.002zbMath1134.39007OpenAlexW2000099404MaRDI QIDQ2475912

Hongjian Xi, Taixiang Sun

Publication date: 11 March 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.01.002

zbMATH Keywords

global attractivityperiodic solutionequilibriumpositive solutionnonlinear difference equation

Mathematics Subject Classification ID

Related Items (1)

The periodic character of the difference equation \(x_{n+1}=f(x_{n - l+1},x_{n - 2k+1})\)

Cites Work

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• On the recursive sequence \(x_{n+1}=\alpha+x_{n-1}/x_n\)
• On the recursive sequence \(y_{n+1}=(p+y_{n-1})/(qy_n+y_{n-1})\)
• The recursive sequence \(x_{n+1} = g(x_{n},x_{n-1})/(A + x_{n})\)
• On the recursive sequence 𝑥_{𝑛+1}=\frac{𝐴}𝑥_{𝑛}+\frac{1}𝑥_{𝑛-2}
• On the Recursive Sequencexⁿ⁺¹=
• A global convergence result with applications to periodic solutions

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