On the characterization of rational difference equations

DOI10.1080/10236190802119903zbMath1169.39005OpenAlexW2048315829MaRDI QIDQ3615526

Frank J. Palladino

Publication date: 20 March 2009

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190802119903

zbMATH Keywords

periodicityglobal stabilityrational difference equationmonotonic character

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30)

Related Items (6)

Global asymptotic stability for quadratic fractional difference equation ⋮ Unboundedness results for fourth order rational difference equations ⋮ A trichotomy result for non-autonomous rational difference equations ⋮ New criteria for global asymptotic stability of direct-form digital filters utilizing single saturation nonlinearity ⋮ On the boundedness character of rational systems in the plane ⋮ Results and problems about solutions of perturbed Lyness' type orderkdifference equations in , with examples, and test of the efficiency of a quasi-Lyapunov function method

Cites Work

• Unnamed Item
• Difference inequalities, comparison tests, and some consequences
• On the global attractivity and the periodic character of some difference equations
• On the boundedness character of rational equations, part 1
• A global convergence result with applications to periodic solutions

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