Global asymptotic stability of a higher order rational difference equation
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Publication:874957
DOI10.1016/j.jmaa.2006.07.096zbMath1121.39008OpenAlexW2019272897MaRDI QIDQ874957
Publication date: 10 April 2007
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.07.096
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Related Items (11)
On a class of second-order nonlinear difference equation ⋮ On the period-two cycles of \(x_{n + 1} = (\alpha + \beta x_n + \gamma x_{n - k})/(A + Bx_n + Cx_{n - k})\) ⋮ Dynamical properties of a class of higher-order nonlinear difference equations ⋮ Global behavior of two families of nonlinear symmetric difference equations ⋮ Some contractive type mappings and their applications to difference equations ⋮ Part-metric and its applications to cyclic discrete dynamic systems ⋮ General form of some rational recursive sequences ⋮ The global attractivity of a rational difference equation with variable delays ⋮ Global asymptotic stability of a family of difference equations ⋮ Global asymptotic stability of a family of nonlinear difference equations ⋮ On a conjecture for a higher-order rational difference equation
Cites Work
- Global asymptotic stability and oscillation of a family of difference equations
- The global attractivity of a higher order rational difference equation
- On the recursive sequences \(x_{n+1}=\frac {-\alpha x_{n-1}}{\beta\pm x_n}\)
- Positive nonlinear difference equations: Some results and applications.
- On the positive solutions of the difference equation \(x_{n+1}=\frac {ax_{n-1}} {1+bx_{n}x_{n-1}}\)
- Qualitative properties for a fourth-order rational difference equation
- Global behavior for a fourth-order rational difference equation
- Open problems and conjectures
- Global Asymptotic Stability in a Rational Equation*
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