Criterions for detecting the existence of the exponential dichotomies in the asymptotic behavior of the solutions of variational equations

DOI10.1016/J.JFA.2009.09.002zbMath1193.47045OpenAlexW1985663844MaRDI QIDQ1048183

Petre Preda, Ciprian Preda, Aurelian Craciunescu

Publication date: 11 January 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2009.09.002

zbMATH Keywords

exponentially bounded(nonlinear) (semi)flowsstrongly continuous cocycles

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Dynamics induced by flows and semiflows (37C10)

Related Items (12)

Admissibility and nonuniform exponential dichotomies ⋮ Nonuniform exponential dichotomy for linear skew-product semiflows over semiflows ⋮ Extending some results of L. Barreira and C. Valls to the case of linear skew-product semiflows ⋮ Discrete Schäffer spaces and exponential dichotomy for evolution families ⋮ On spectral characterization of nonuniform hyperbolicity ⋮ One admissible critical pair without Lyapunov norm implies a tempered exponential dichotomy for Met-systems ⋮ New conditions for (non)uniform behaviour of linear cocycles over flows ⋮ An extension of a theorem of R. Datko to the case of (non)uniform exponential stability of linear skew-product semiflows ⋮ Continuous-time dichotomies without unstable invariant manifolds for autonomous system ⋮ Admissibility and generalized nonuniform dichotomies for discrete dynamics ⋮ Barbashin-type conditions for exponential stability of linear cocycles ⋮ Asymptotic Behavior of Linear Almost Periodic Differential Equations

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