Global behavior of \(x_{n + 1} = (\alpha + \beta x_{n - k}) /(\gamma + x_n)\)
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Publication:2312316
DOI10.1155/2013/963757zbMath1417.39058OpenAlexW2077497776WikidataQ58861065 ScholiaQ58861065MaRDI QIDQ2312316
Chenquan Gan, Xiaofan Yang, Wanping Liu
Publication date: 5 July 2019
Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/963757
Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30)
Cites Work
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- Global attractivity of a family of max-type difference equations
- Global stability of a max-type difference equation
- Quantitative bounds for positive solutions of a Stević difference equation
- On the difference equation \(X_{n+1} = \alpha + \frac{x_{n-1}}{x_n}\)
- On the recursive sequence \(x_{n+1}=A+(x_{n - 1}^p/x_n^q)\)
- Global attractivity in the recursive sequence \(x_{n+1}=(\alpha-\beta x_{n})/(\gamma-x_{n-1})\)
- Global attractivity in a class of higher-order nonlinear difference equation
- On the recursive sequence \(x_{n+1}=\frac{\alpha+\beta x_{n-1}}{1+g(x_n)}\)
- On the recursive sequence \(x_{n+1}=x_{n-1}/g(x_n)\)
- On the recursive sequence \(x_{n+1}=\frac{\alpha+\beta x_n}{Bx_n+Cx_{n-1}}\).
- Global behavior of \(y_{n+1}=\frac{p+y_{n-k}}{qy_n+y_{n-k}}\).
- On global attractivity of a class of nonautonomous difference equations
- On the difference equation \(x_{n+1}= \frac{px_{n-s} + x_{n-t}}{qx_{n-s} + x_{n-t}}\)
- On the difference equation \(x_n = \frac{p+x_{n-2}}{qx_{n-t}+x_{n-s}}\)
- On the recursive sequence \(x_{n+1}=\frac{\alpha+\beta x_{n-k}}{f(x_n,\dots,x_{n-k+1})}\)
- On the difference equation \(y_{n+1}=A + \frac {y_n}{y_{n-k}}\) with \(A < 0\)
- The qualitative behavior of solutions of a nonlinear difference equation
- On a generalized max-type difference equation from automatic control theory
- Global attractivity of the equilibrium of for q<p
- Dynamics of a higher order nonlinear rational difference equation
- Global attractivity of a higher order nonlinear difference equation
- Global asymptotic stability of a second order rational difference equation
- Global asymptotic stability of a family of difference equations
- Stability of the recursive sequence \(x_{n+1}=(\alpha-\beta x_n)/(\gamma+x_{n-1})\)
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