Levitan/Bohr almost periodic and almost automorphic solutions of second order monotone differential equations

DOI10.1016/j.jde.2011.04.021zbMath1236.37017OpenAlexW2003694390MaRDI QIDQ549236

David N. Cheban, Tomás Caraballo Garrido

Publication date: 7 July 2011

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

Full work available at URL: https://idus.us.es/xmlui/handle/11441/23677

zbMATH Keywords

cocyclesnon-autonomous dynamical systemsquasi-periodicalmost automorphicBohr/Levitan almost periodicmonotone second order equationpseudo-recurrent solutionsskew-product systems

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Growth and boundedness of solutions to ordinary differential equations (34C11) Dynamics induced by flows and semiflows (37C10) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Related Items (10)

On the structure of the global attractor for non-autonomous difference equations with weak convergence ⋮ Weighted piecewise pseudo almost automorphic functions with applications to abstract impulsive \(\nabla\)-dynamic equations on time scales ⋮ Metrical almost periodicity, metrical approximations of functions and applications ⋮ Almost automorphic solutions of second-order equations involving time scales with boundary conditions ⋮ Periodic, quasi-periodic, almost periodic, almost automorphic, Birkhoff recurrent and Poisson stable solutions for stochastic differential equations ⋮ Poisson stable solutions for stochastic functional evolution equations with infinite delay ⋮ Poisson stable solutions and solution maps for stochastic functional differential equations ⋮ Almost automorphic solutions of dynamic equations on time scales ⋮ Asymptotically almost automorphic solutions of dynamic equations on time scales ⋮ Sensitivity analysis for a fractional stochastic differential equation with \(S^p\)-weighted pseudo almost periodic coefficients and infinite delay

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