Levitan almost periodic and almost automorphic solutions of \(V\)-monotone differential equations

DOI10.1007/s10884-008-9101-xzbMath1151.37027OpenAlexW1989453122MaRDI QIDQ937080

David N. Cheban

Publication date: 20 August 2008

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-008-9101-x

zbMATH Keywords

skew-product flownon-autonomous dynamical system\(V\)-monotone systemLevitan almost periodic solution

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Nonautonomous smooth dynamical systems (37C60) Monotone systems involving ordinary differential equations (34C12)

Related Items (16)

Metrical almost periodicity, metrical approximations of functions and applications ⋮ Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard's separation condition. I ⋮ Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard's separation condition. II ⋮ Almost periodic motions in semi-group dynamical systems and Bohr/Levitan almost periodic solutions of linear difference equations without Favard's separation condition ⋮ Levitan Almost Periodic Solutions of Linear Differential Equations ⋮ 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 ⋮ Periodic, quasi-periodic, almost periodic, almost automorphic, Birkhoff recurrent and Poisson stable solutions for stochastic differential equations ⋮ Poisson stable motions of monotone and strongly sub-linear non-autonomous dynamical systems ⋮ Poisson Stable Motions and Global Attractors of Symmetric Monotone Nonautonomous Dynamical Systems ⋮ The structure of global attractors for non-autonomous perturbations of discrete gradient-like dynamical systems ⋮ Shift dynamical systems and measurable selectors of multivalued maps ⋮ Levitan/Bohr almost periodic and almost automorphic solutions of second order monotone differential equations ⋮ Poisson stable motions of monotone nonautonomous dynamical systems ⋮ The structure of global attractors for non-autonomous perturbations of gradient-like dynamical systems ⋮ Unnamed Item

Cites Work

• On the existence of almost periodic complete trajectories for contractive almost periodic processes
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• Almost periodic differential equations
• Almost automorphic functions and totally bounded groups
• Almost periodic solutions of forced vectorial Liénard equations
• Attractors of asymptotically compact processes and applications to nonlinear partial differential equations
• Lifting properties in skew-product flows with applications to differential equations
• Almost automorphic and almost periodic dynamics in skew-product semiflows
• GLOBAL PULLBACK ATTRACTORS OF ${\mathbb C}$-ANALYTIC NONAUTONOMOUS DYNAMICAL SYSTEMS
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