Qualitative properties of some higher order difference equations

DOI10.1016/j.camwa.2009.03.092zbMath1189.39014OpenAlexW2074018444MaRDI QIDQ980017

J. Martínez

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.03.092

zbMATH Keywords

stabilityperiodic solutionsdifference equationsglobal asymptotic stability

Mathematics Subject Classification ID

Growth, boundedness, comparison of solutions to difference equations (39A22) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30)

Related Items (6)

Dynamics of a family of nonlinear delay difference equations ⋮ On the dynamics of a higher-order difference equation ⋮ Solutions form for some rational systems of difference equations ⋮ On the dynamics of the recursive sequence \(x_{n+1}=\frac{\alpha x_{n-1}}{\beta+\gamma\sum_{k=1}^tx_{n-2k}\prod_{k=1}^tx_{n-2k}}\) ⋮ On the dynamics of the recursive sequence \(x_{n+1}=\frac{x_{n-1}}{\beta+\gamma x^2_{n-2}x_{n-4}+\gamma x_{n-2}x^2_{n-4}}\) ⋮ The dynamics of the solutions of some difference equations

Cites Work

• Unbounded positive solutions to higher-order difference equations with singular nonlinear term
• On explicit conditions for the asymptotic stability of linear higher order difference equations
• New explicit global asymptotic stability criteria for higher order difference equations
• On the global attractivity and the periodic character of some difference equations
• The Rational Cuboid Revisited
• Triangulated polygons and frieze patterns
• A rational difference equation
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