Almost periodic and almost automorphic solutions of linear differential equations

DOI10.3934/dcds.2013.33.1857zbMath1268.37007OpenAlexW2793911046MaRDI QIDQ1948776

David N. Cheban, Tomás Caraballo Garrido

Publication date: 24 April 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2013.33.1857

zbMATH Keywords

almost periodic solutioncocycleuniform asymptotic stabilityalmost automorphic solution, nonautonomous dynamical systemslinear nonautonomous contractive dynamical systems

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Linear functional-differential equations (34K06) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Linear differential equations in abstract spaces (34G10) Stability theory for smooth dynamical systems (37C75) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Topological dynamics of nonautonomous systems (37B55) General theory of difference equations (39A05)

Related Items (4)

Limit periodic perturbations of difference systems with coefficients from commutative groups ⋮ Limit periodic homogeneous linear difference systems ⋮ Asymptotically almost periodic solutions of limit periodic difference systems with coefficients from commutative groups ⋮ Periodic, quasi-periodic, almost periodic, almost automorphic, Birkhoff recurrent and Poisson stable solutions for stochastic differential equations

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