Some Invariant Manifolds for Functional Difference Equations with Infinite Delay

DOI10.1080/10236190410001685021zbMath1057.39015OpenAlexW2038858160MaRDI QIDQ4822520

Satoru Murakami, Hideaki Matsunaga

Publication date: 25 October 2004

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

Full work available at URL: https://doi.org/10.1080/10236190410001685021

zbMATH Keywords

stabilityinstabilityinvariant manifoldsinfinite delayabstract functional difference equations

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Invariant manifold theory for dynamical systems (37D10) Invariant manifolds of functional-differential equations (34K19)

Related Items (17)

Bohl–Perron-type stability theorems for linear difference equations with infinite delay ⋮ ASYMPTOTIC EXPANSION FOR DIFFERENCE EQUATIONS WITH INFINITE DELAY ⋮ Semilinear functional difference equations with infinite delay ⋮ Formal adjoint equations and asymptotic formula for solutions of Volterra difference equations with infinite delay ⋮ A discrete Gronwall-Halanay-type inequality with infinite delay and its applications to difference equations ⋮ A discrete retarded Gronwall–Bellman type inequality and its applications to difference equations ⋮ On the stable manifolds of difference equations with infinite delay ⋮ Asymptotic expansions for higher-order scalar difference equations ⋮ 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 projected discrete Gronwall's inequality with sub-exponential growth ⋮ A note on discrete maximal regularity for functional difference equations with infinite delay ⋮ Stability in delay difference equations with nonuniform exponential behavior ⋮ Exponential dichotomy and boundedness for retarded functional difference equations ⋮ Stable manifolds for difference equations with infinite delay ⋮ Unnamed Item ⋮ Stability of dichotomies in difference equations with infinite delay

Cites Work

• Asymptotic formulae for nonlinear functional difference equations
• Asymptotic properties of solutions to nonautonomous Volterra difference systems with infinite delay
• Convergent solutions of linear functional difference equations in phase space
• Discrete Dichotomies and Asymptotic Behavior for Abstract Retarded Functional Difference Equations in Phase Space
• Asymptotic equivalence for difference equations with infinite delay
• Representation of solutions of linear functional difference equations in phase space
• Existence of an Almost Periodic Solution in a Difference Equation with Infinite Delay
• Global stability of nonlinear delay difference equations

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