Global attractivity in a rational recursive sequence.
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Publication:1412420
DOI10.1016/S0096-3003(02)00433-2zbMath1044.39013OpenAlexW2074290895MaRDI QIDQ1412420
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)00433-2
periodic solutionspositive solutionsglobal attractivitynonlinear difference equationglobal asymptotic stabilityinvariant intervals
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Related Items (13)
Dynamic behavior of a recursive sequence ⋮ Global asymptotic stability for a higher order nonlinear rational difference equations ⋮ On the recursive sequence \(x_{n+1}=(\alpha-\beta x_{n-k})/g(x_n,x_{n-1},\dots,x_{n-k+1})\) ⋮ Qualitative analysis of a discrete logistic equation with several delays. ⋮ Global asymptotical stability of a second order rational difference equation ⋮ Global attractivity of a higher order nonlinear difference equation ⋮ Dynamics of a higher order nonlinear rational difference equation ⋮ On the recursive sequence \(x_n = \frac{ax_{n-1}+bx_{n-2}}{c+dx_{n-1}x_{n-2}}\) ⋮ Global attractivity in a recursive sequence ⋮ Global asymptotic stability in a rational recursive sequence ⋮ On the recursive sequence \(x_{n+1}=\alpha-(x_n/x_{n-1})\) ⋮ Global attractivity of the difference equation \(x_{n+1}=\alpha+(x_{n-k}/x_{n})\) ⋮ Global asymptotic stability of a second-order nonlinear difference equation
Cites Work
- Stability in a population model
- Global attractivity in a second-order nonlinear difference equation
- Properties of a certain Lyness equation
- A note on the periodic cycle of \(x_{n+2}=(1+x_{n+1})/(x_n)\)
- On the recursive sequence \(x_{n+1}=\frac{\alpha+\beta x_n}{Bx_n+Cx_{n-1}}\).
- On the difference equation \(x_{n+1}=\alpha+\beta x_{n-1}e^{-x_n}\).
- Global behavior of \(y_{n+1}=\frac{p+y_{n-k}}{qy_n+y_{n-k}}\).
- On rational recursive sequences
- Lyness-type equations in the third quardrant
- On the recursive sequence \(x_{n+1}=A/x^p_n+B/x^q_{n-1}+C/x^s_{n-2}\)
- Stability of the recursive sequence \(x_{n+1}=(\alpha-\beta x_n)/(\gamma+x_{n-1})\)
- A rational difference equation
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