An asymptotic theory for retarded functional difference equations

DOI10.1016/j.camwa.2004.06.032zbMath1080.39007OpenAlexW2005398516MaRDI QIDQ2485513

Claudio Cuevas, L. Del Campo

Publication date: 5 August 2005

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.06.032

zbMATH Keywords

convergenceasymptoticVolterra difference equationfunctional difference equationdiscrete dichotomy

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items (9)

ASYMPTOTIC EXPANSION FOR DIFFERENCE EQUATIONS WITH INFINITE DELAY ⋮ Semilinear functional difference equations with infinite delay ⋮ Stabilization of discrete-time linear systems with infinite distributed input delays ⋮ Almost and asymptotically almost periodic solutions of abstract retarded functional difference equations in phase space ⋮ About the behavior of solutions for Volterra difference equations with infinite delay ⋮ A note on discrete maximal regularity for functional difference equations with infinite delay ⋮ Exponential dichotomy and boundedness for retarded functional difference equations ⋮ New results on stability of discrete-time systems with infinite delays ⋮ Existence of periodic and almost periodic solutions of abstract retarded functional difference equations in phase spaces

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• Asymptotic Behavior of the Solutions of the Second Order Difference Equation
• Asymptotic equivalence for difference equations with infinite delay
• Representation of solutions of linear functional difference equations in phase space
• Weighted convergent and bounded solutions of vdterra difference systems with infinite delay

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