\((L^p(\mathbb R_+,X),L^q(\mathbb R_+,X))\)-admissibility and exponential dichotomies of cocycles

DOI10.1016/J.JDE.2010.02.018zbMath1216.34052OpenAlexW1970904858MaRDI QIDQ984432

Ciprian Preda

Publication date: 19 July 2010

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

Full work available at URL: https://doi.org/10.1016/j.jde.2010.02.018

zbMATH Keywords

exponential dichotomyadmissibilityskew-product semiflowstrongly continuous cocycleexponentially bounded semiflow

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Nonlinear differential equations in abstract spaces (34G20) Asymptotic properties of solutions to ordinary differential equations (34D05) Topological dynamics of nonautonomous systems (37B55) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items (7)

Discrete-time theorems for global and pointwise dichotomies of cocycles over semiflows ⋮ Extending some results of L. Barreira and C. Valls to the case of linear skew-product semiflows ⋮ Admissibility and nonuniform exponential dichotomies for difference equations without bounded growth or Lyapunov norms ⋮ On spectral characterization of nonuniform hyperbolicity ⋮ New conditions for (non)uniform behaviour of linear cocycles over flows ⋮ Barbashin-type conditions for exponential stability of linear cocycles ⋮ Asymptotic Behavior of Linear Almost Periodic Differential Equations

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