Asymptotic behavior of equilibrium point for a family of rational difference equations

DOI10.1155/2010/505906zbMath1204.39011OpenAlexW2036119843WikidataQ59252849 ScholiaQ59252849MaRDI QIDQ610922

Shu Wang, Qi-Hong Shi, Chang You Wang

Publication date: 13 December 2010

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/225671

Mathematics Subject Classification ID

Growth, boundedness, comparison of solutions to difference equations (39A22)

Related Items (6)

On the solutions of some nonlinear systems of difference equations ⋮ Qualitative behavior of rational difference equation of big order ⋮ On the dynamics of a higher-order rational recursive sequence ⋮ On the solutions and periodic nature of some systems of difference equations ⋮ Qualitative behavior of a higher-order nonautonomous rational difference equation ⋮ On the global dynamics of a rational difference equation with periodic coefficients

Cites Work

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• Asymptotic behavior of equilibrium point for a class of nonlinear difference equation
• Global stability of a rational symmetric difference equation
• The difference equation \(x_{n+1}=\alpha + \frac {x_{n-k}}{\Sigma_{i=0}^{k-1} c_{i}x_{n-i}}\) has solutions converging to zero
• Sufficient conditions for the exponential stability of nonautonomous difference equations
• Asymptotic stability for a class of nonlinear difference equations
• Decreasing and fast solutions for a second-order difference equation related to Fisher-Kolmogorov's equation
• On the recursive sequences \(x_{n+1}=\frac {-\alpha x_{n-1}}{\beta\pm x_n}\)
• On the positive solutions of the difference equation \(x_{n+1}=(x_{n-1})/(1+x_{n} x_{n-1})\).
• On the recursive sequence \(x_n = \frac{ax_{n-1}+bx_{n-2}}{c+dx_{n-1}x_{n-2}}\)
• The global attractivity of the rational difference equation \(y_n = \frac{y_{n-k}+y_{n-m}}{1+y_{n-k}y_{n-m}}\)
• Global Asymptotic Stability in a Rational Equation*

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