Exponentially dichotomous operators and exponential dichotomy of evolution equations on the half-line

DOI10.1007/s00020-002-1189-5zbMath1058.34072OpenAlexW2074361255MaRDI QIDQ1881584

Nguyen Thieu Huy

Publication date: 5 October 2004

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-002-1189-5

zbMATH Keywords

exponential dichotomyevolution familiesexponentially dichotomous operators

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Linear differential equations in abstract spaces (34G10) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items (10)

Equivalences between nonuniform exponential dichotomy and admissibility ⋮ Exponential stability concepts for evolution families on \(\mathbb{R}\) ⋮ Admissibility for nonuniform \((\mu,v)\) contraction and dichotomy ⋮ Resolvents of operators and partial functional differential equations with nonautonomous past. ⋮ An extension of some theorems of L. Barreira and C. Valls for the nonuniform exponential dichotomous evolution operators ⋮ New characterizations of exponential dichotomy and exponential stability of linear difference equations ⋮ Exponential dichotomy of evolution equations and admissibility of function spaces on a half-line ⋮ Nonuniform exponential dichotomy for evolution families on the real line ⋮ Discretized characterizations of exponential dichotomy of linear skew-product semiflows over semiflows ⋮ Asymptotic Behavior of Linear Almost Periodic Differential Equations

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