Global asymptotic stability and oscillation of a family of difference equations

DOI10.1016/j.jmaa.2004.02.039zbMath1055.39017OpenAlexW1976356229MaRDI QIDQ596791

Garyfalos Papaschinopoulos, Christos J. Schinas

Publication date: 10 August 2004

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.2004.02.039

zbMATH Keywords

positive solutionsequilibriumdifference equationsglobal asymptotic stabilityoscillatory behavior

Mathematics Subject Classification ID

Related Items (20)

Dynamic behavior of a nonlinear rational difference equation and generalization ⋮ On some symmetric systems of difference equations ⋮ Global asymptotic stability of a higher order rational difference equation ⋮ A new part-metric-related inequality chain and an application ⋮ Stability of solutions for a family of nonlinear difference equations ⋮ Global attractivity for a family of nonlinear difference equations ⋮ A part-metric-related inequality chain and application to the stability analysis of difference equation ⋮ Global behavior of a higher-order rational difference equation ⋮ Difference equations and nonexistence of solutions of an integral equation ⋮ Part-metric and its applications in discrete systems ⋮ On the global asymptotic stability of the difference equation \(x_{n}=\frac {x_{n-1}x_{n-2}+x_{n-3}+a}{x_{n-1}+x_{n-2}x_{n-3}+a}\) ⋮ Dynamics of two classes of recursive sequences ⋮ Global behavior of a higher-order difference equation ⋮ On two rational difference equations ⋮ Global asymptotic stability in a class of generalized Putnam equations ⋮ On boundedness of solutions of the difference equation \(x_{n+1}=p+\frac{x_{n-1}}{x_{n}}\) for \(p<1\) ⋮ Global asymptotic stability of a family of difference equations ⋮ Stability of a generalized Putnam equation ⋮ Global stability for a delay difference equation ⋮ Global asymptotic stability in a class of Putnam-type equations

Cites Work

• Unnamed Item
• Global asymptotic stability in some discrete dynamical systems
• Global Asymptotic Stability in a Rational Equation*
• On a Class of Difference Equations with Strong Negative Feedback

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