Exponential dichotomy and boundedness for retarded functional difference equations

DOI10.1080/10236190802125330zbMath1162.39002OpenAlexW2085658457MaRDI QIDQ3615527

Claudio Cuevas, Fernando Cardoso

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/10.1080/10236190802125330

zbMATH Keywords

robustnessexponential stabilityorbitexponential dichotomyinfinite delaybounded linear operatorsbounded solutionsVolterra difference equationsretarded linear functional difference equation

Mathematics Subject Classification ID

Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Stability theory for difference equations (39A30)

Related Items (12)

Bohl–Perron-type stability theorems for linear difference equations with infinite delay ⋮ \(S\)-asymptotically \(\omega \)-periodic and asymptotically \(\omega \)-periodic solutions to semi-linear Cauchy problems with non-dense domain ⋮ Semilinear functional difference equations with infinite delay ⋮ Almost Periodicity for a Nonautonomous Discrete Dispersive Population Model ⋮ Input–output control systems and dichotomy of variational difference equations ⋮ About the behavior of solutions for Volterra difference equations with infinite delay ⋮ Stability of difference equations and applications to robustness problems ⋮ Input-output admissibility and exponential trichotomy of difference equations ⋮ L^p-boundedness and topological structure of solutions for flexible structural systems ⋮ Almost automorphy profile of solutions for difference equations of Volterra type ⋮ Maximal regularity of the discrete harmonic oscillator equation ⋮ On exponential dichotomy of variational difference equations

Cites Work

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• Exponential dichotomy of difference equations in \(l_{p}\)-phase spaces on the half-line
• An asymptotic theory for retarded functional difference equations
• Discrete Dichotomies and Asymptotic Behavior for Abstract Retarded Functional Difference Equations in Phase Space
• Representation of solutions of linear functional difference equations in phase space
• Existence of an Almost Periodic Solution in a Difference Equation with Infinite Delay
• Some Invariant Manifolds for Functional Difference Equations with Infinite Delay

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