Almost periodic motions in semi-group dynamical systems and Bohr/Levitan almost periodic solutions of linear difference equations without Favard's separation condition

DOI10.1080/10236198.2012.697161zbMath1276.39009OpenAlexW2154740833MaRDI QIDQ5301065

David N. Cheban, Tomás Caraballo Garrido

Publication date: 2 July 2013

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

Full work available at URL: https://doi.org/10.1080/10236198.2012.697161

zbMATH Keywords

dynamical systemsglobal attractorlinear difference equationsFavard theoremboundedness conditionLevitan almost periodic solutionalmost periodic motionBohr almost periodic solution

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Nonautonomous smooth dynamical systems (37C60) Linear difference equations (39A06) Almost periodic solutions of difference equations (39A24)

Related Items

Limit periodic perturbations of difference systems with coefficients from commutative groups, Levitan/Bohr almost periodic and almost automorphic solutions of scalar differential equations, Bohr/Levitan almost periodic and almost automorphic solutions of monotone difference equations with a strict monotone first integral, Asymptotically almost periodic mild solutions to a class of Weyl-like fractional difference equations, Poisson stable motions of monotone nonautonomous dynamical systems, Unnamed Item

Cites Work

• Compact global attractors of control systems
• Levitan almost periodic and almost automorphic solutions of \(V\)-monotone differential equations
• Almost automorphic solutions of difference equations
• Almost periodic differential equations
• Almost automorphic functions and totally bounded groups
• Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard's separation condition. I
• FAVARD THEORY
• Representation of solutions of linear functional difference equations in phase space
• GLOBAL PULLBACK ATTRACTORS OF ${\mathbb C}$-ANALYTIC NONAUTONOMOUS DYNAMICAL SYSTEMS
• A NEW APPROACH TO ALMOST PERIODICITY
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item