On the rational recursive sequence \(x_{n+1}=(A+\sum_{i=0}^{k}\alpha _{i}x_{n - i})/(B+\sum _{i=0}^{k}\beta _{i}x_{n - i})\)
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Publication:925364
DOI10.1155/2007/23618zbMath1144.39014OpenAlexW2081347577MaRDI QIDQ925364
M. A. El-Moneam, Elsayed M. E. Zayed
Publication date: 3 June 2008
Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2007/23618
convergenceperiodic solutionpositive solutionglobal asymptotic stabilitybounded solutionrational difference equation
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Related Items (4)
On the global attractivity of two nonlinear difference equations ⋮ On the rational recursive sequence \(x_{n+1}=Ax_{n}+Bx_{n-k}+\frac{\beta x_{n}+\gamma x_{n-k}}{cx_{n}+Dx_{n-k}}\) ⋮ On the rational difference equation y n + 1 = α 0 y n + α 1 y n − p + α 2 y n − q + α 3 y n − r + α 4 y n − s β 0 y n + β 1 y n − p + β 2 y n − q + β 3 y n − r + β 4 y n − s ⋮ On the rational recursive sequence \(x_{n+1}=\frac{\alpha + \beta x_{n-k}}{\gamma-x_{n}}\)
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