Convergent solutions of linear functional difference equations in phase space

DOI10.1016/S0022-247X(02)00570-XzbMath1022.39001MaRDI QIDQ1869014

Manuel Pinto, Claudio Cuevas

Publication date: 9 April 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

phase spaceinfinite delayVolterra difference equationfunctional difference equationsSchauder's theoremconvergence solutionssummable dichotomies

Mathematics Subject Classification ID

Additive difference equations (39A10)

Related Items (18)

Some Invariant Manifolds for Functional Difference Equations with Infinite Delay ⋮ 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 ⋮ Asymptotically almost periodic mild solutions to a class of Weyl-like fractional difference equations ⋮ On the existence of almost automorphic solutions of Volterra difference equations ⋮ Linear attraction in quasi-linear difference systems ⋮ 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 ⋮ Pseudo asymptotically periodic solutions for Volterra difference equations of convolution type ⋮ An asymptotic theory for retarded functional difference equations ⋮ A note on discrete maximal regularity for functional difference equations with infinite delay ⋮ Asymptotic behavior of solutions of functional difference equations ⋮ Almost automorphy profile of solutions for difference equations of Volterra type ⋮ Asymptotic behavior of mild solutions for nonlinear fractional difference equations ⋮ Asymptotic behavior of mild solutions for a class of abstract nonlinear difference equations of convolution type ⋮ 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

Cites Work

• Unnamed Item
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• Continuous and discrete dynamics near manifolds of equilibria
• Bounded and zero convergent solutions of second-order difference equations
• Theory of difference equations: Numerical methods and applications
• Asymptotic properties of solutions to nonautonomous Volterra difference systems with infinite delay
• Weighted convergent and bounded solutions of difference systems
• Asymptotic behavior in Volterra difference systems with unbounded delay
• 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

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