Admissibility for nonuniform exponential contractions

DOI10.1016/j.jde.2010.06.010zbMath1228.34090OpenAlexW2072677908MaRDI QIDQ603724

Luis Barreira, Claudia Valls

Publication date: 8 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.jde.2010.06.010

zbMATH Keywords

admissibilitynonuniform exponential dichotomy

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11) Linear differential equations in abstract spaces (34G10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items (16)

Bounded solutions of evolutionary equations. I ⋮ Nonuniform exponential dichotomy for linear skew-product semiflows over semiflows ⋮ Equivalences between nonuniform exponential dichotomy and admissibility ⋮ Extending some results of L. Barreira and C. Valls to the case of linear skew-product semiflows ⋮ Admissibility and nonuniform exponential dichotomy on the half-line ⋮ Exponential stability concepts for evolution families on \(\mathbb{R}\) ⋮ Admissibility for nonuniform \((\mu,v)\) contraction and dichotomy ⋮ A version of a theorem of R.\,Datko for nonuniform exponential contractions ⋮ Approximative dichotomy and persistence of nonuniformly normally hyperbolic invariant manifolds in Banach spaces ⋮ Admissible Banach function spaces for linear dynamics with nonuniform behavior on the half-line ⋮ An extension of some theorems of L. Barreira and C. Valls for the nonuniform exponential dichotomous evolution operators ⋮ An extension of a theorem of R. Datko to the case of (non)uniform exponential stability of linear skew-product semiflows ⋮ Nonuniform exponential dichotomy for evolution families on the real line ⋮ On the polynomial stability of evolution families ⋮ Admissibility in the strong and weak senses ⋮ Bounded solutions of the nonlinear Lyapunov equation and homoclinic chaos

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