Global attractivity of the recursive sequence \(x_{n+1}= \frac {\alpha- \beta x_{n-k}} {\gamma+ x_n}\)
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Publication:1885081
DOI10.1007/BF02936165zbMath1062.39007MaRDI QIDQ1885081
Publication date: 28 October 2004
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Related Items (8)
Global attractivity of the recursive sequence \(x_{n+1}= \frac {\alpha- \beta x_{n-k}} {\gamma+ x_n}\) ⋮ On the rational recursive sequence \(x_{n+1}=\frac {\alpha x_n+\beta x_{n-1}+\gamma x_{n-2}+\delta x_{n-3}} {Ax_b+ Bx_{n-1}+ Cx_{n-2}+ Dx_{n-3}}\) ⋮ On the recursive sequence \(x_{n+1}=(\alpha-\beta x_{n-k})/g(x_n,x_{n-1},\dots,x_{n-k+1})\) ⋮ On the rational recursive sequence \(x_{n+1}=(A+\sum_{i=0}^{k}\alpha _{i}x_{n - i})/(B+\sum _{i=0}^{k}\beta _{i}x_{n - i})\) ⋮ On the global attractivity of two nonlinear difference equations ⋮ The dynamics of the solutions of some 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 recursive sequence \(x_{n+1}=\frac{a x^p_{n-2m+1}}{b+cx_{n-2k}^{p-1}}\)
Cites Work
- On the recursive sequences \(x_{n+1}=\frac {-\alpha x_{n-1}}{\beta\pm x_n}\)
- Global attractivity of the recursive sequence \(x_{n+1}=(\alpha-\beta x_{n-1})/(\gamma+x_{n})\)
- Global behavior of \(y_{n+1}=\frac{p+y_{n-k}}{qy_n+y_{n-k}}\).
- Global attractivity of the recursive sequence \(x_{n+1}= \frac {\alpha- \beta x_{n-k}} {\gamma+ x_n}\)
- Stability of the recursive sequence \(x_{n+1}=(\alpha-\beta x_n)/(\gamma+x_{n-1})\)
- A rational difference equation
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