On the difference equation \(x_{n+1}=\frac{a+\alpha x_n+\alpha x_{n-1}+\cdots+\alpha x_{n-k+2}}{x_{n-k+1}}\)

DOI10.1016/S0096-3003(02)00429-0zbMath1031.39009OpenAlexW1537811790MaRDI QIDQ1405083

D. Massart

Publication date: 25 August 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)00429-0

zbMATH Keywords

persistencedifference equationsoscillatory solutionsbounded solutions

Mathematics Subject Classification ID

Related Items (2)

On the difference equation \(y_{n+1} = \frac {\alpha +\beta e^{-y_n}}{\gamma +y_{n-1}}\) ⋮ Global behavior of the difference equation \(x_{n+1} = \frac {x_{n-l+1}}{1+a_0x_n+a_1x_{n-1}+\cdots + a_lx_{n-l}+x_{n-l+1}}\)

Cites Work

• A note on the periodic cycle of \(x_{n+2}=(1+x_{n+1})/(x_n)\)
• On rational recursive sequences
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