On asymptotic behaviour of the difference equation \(x_{x+1}=\alpha + \frac {x_{n-k}}{x_n}\)

DOI10.1016/S0096-3003(02)00659-8zbMath1042.39001OpenAlexW202863829MaRDI QIDQ1412594

D. Massart

Publication date: 25 November 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00659-8

zbMATH Keywords

positive solutionsdifference equationsglobal asymptotic stabilityperiod two solution

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 \(x_{n+1}-ax_ n+bx_{n-k}=0\)
• Global behavior of \(y_{n+1}=\frac{p+y_{n-k}}{qy_n+y_{n-k}}\).

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