On the stability of nonautonomous difference equations

DOI10.1080/10236190701859559zbMath1144.39007OpenAlexW2110048243MaRDI QIDQ5457940

Reza Memarbashi

Publication date: 10 April 2008

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

Full work available at URL: https://doi.org/10.1080/10236190701859559

zbMATH Keywords

instabilityexponential stabilityAsymptotic stabilitydomains of contraction or expansionhigher order nonautonomous difference equations

Mathematics Subject Classification ID

Related Items (5)

On the behaviour of nonautonomous difference equations ⋮ Stability of non-autonomous difference equations: simple ideas leading to useful results ⋮ New criteria for global asymptotic stability of direct-form digital filters utilizing single saturation nonlinearity ⋮ Global attractivity in a class of non-autonomous, nonlinear, higher order difference equations ⋮ Stability of certain nonautonomous difference equations

Cites Work

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• Geometric stability conditions for higher order difference equations
• A note on the global stability of generalized difference equations
• Global stability in difference equations satisfying the generalized Yorke condition
• On exponential dichotomy, Bohl--Perron type theorems and stability of difference equations
• Global asymptotic stability in a perturbed higher-order linear difference equation.
• On Ω-limit Sets of Discrete-time Dynamical Systems
• Sufficient conditions for the global stability of nonautonomous higher order difference equations

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