Almost and asymptotically almost periodic solutions of abstract retarded functional difference equations in phase space

DOI10.1080/10236190903460404zbMath1227.39014OpenAlexW1999783313MaRDI QIDQ3016336

L. Del Campo, Claudio Vidal, Manuel Pinto

Publication date: 15 July 2011

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

Full work available at URL: http://hdl.handle.net/10533/133224

zbMATH Keywords

Banach spaceinfinite delaybounded solutionsalmost periodic solutionsfunctional difference equationsasymptotically almost periodic solutionsVolterra difference systemsabstract phase space

Mathematics Subject Classification ID

Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Growth, boundedness, comparison of solutions to difference equations (39A22) Periodic solutions of difference equations (39A23) Almost periodic solutions of difference equations (39A24)

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Cites Work

• Unnamed Item
• Unnamed Item
• Periodic and almost periodic solutions of nonlinear discrete Volterra equations with unbounded delay
• Functional differential equations with infinite delay
• Stability theory and the existence of periodic solutions and almost periodic solutions
• Almost periodic differential equations
• Periodic solutions of discrete Volterra equations.
• Asymptotic formulae for nonlinear functional difference equations
• Almost periodic solutions to abstract retarded functional differential equations with unbounded delay
• Convergent solutions of linear functional difference equations in phase space
• Asymptotic behavior in Volterra difference systems with unbounded delay
• An asymptotic theory for retarded functional difference equations
• Almost periodic solutions of discrete Volterra equations
• Discrete Dichotomies and Asymptotic Behavior for Abstract Retarded Functional Difference Equations in Phase Space
• Asymptotically almost periodic solutions of nonlinear Volterra difference equations with unbounded delay
• Equations with unbounded delay: a survey
• 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
• Some Invariant Manifolds for Functional Difference Equations with Infinite Delay
• Regularity of solutions of abstract retarded functional differential equations with unbounded delay
• Almost periodic solutions of difference systems

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