Global attractivity of the recursive sequence \(x_{n+1}=(\alpha-\beta x_{n-1})/(\gamma+x_{n})\)
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Publication:1827026
DOI10.1016/S0096-3003(03)00539-3zbMath1055.39028OpenAlexW2173237588MaRDI QIDQ1827026
Publication date: 6 August 2004
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00539-3
Discrete version of topics in analysis (39A12) Multiplicative and other generalized difference equations (39A20)
Related Items (7)
Global attractivity of the recursive sequence \(x_{n+1}= \frac {\alpha- \beta x_{n-k}} {\gamma+ x_n}\) ⋮ Attractivity of the recursive sequence \(x_{n + 1} = (A - B x_{n - 2}) /(C + D x_{n - 1})\) ⋮ Attractivity of two nonlinear third-order difference equations ⋮ Solution of the rational difference equation \(x_{n + 1} = \frac{x_{n-13}} {1+x_{n-1}x_{n-3}x_{n-5}x_{n-7}x_{n-9}x_{n-11}}\) ⋮ On the dynamics of the recursive sequence \(x_{n+1}=\frac{\alpha x_{n-1}}{\beta+\gamma\sum_{k=1}^tx_{n-2k}\prod_{k=1}^tx_{n-2k}}\) ⋮ On the dynamics of the recursive sequence \(x_{n+1}=\frac{x_{n-1}}{\beta+\gamma x^2_{n-2}x_{n-4}+\gamma x_{n-2}x^2_{n-4}}\) ⋮ The dynamics of the recursive sequence \(x_{n+1}=\frac{\alpha x_{n-1}}{\beta+\gamma x_{n-2}^p}\)
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