Evolutionary semigroups and dichotomy of linear skew-product flows on locally compact spaces with Banach fibers

DOI10.1006/jdeq.1996.0025zbMath0881.47020OpenAlexW2011432249MaRDI QIDQ1910863

Yuri Latushkin, Stephen J. Montgomery-Smith, Timothy W. Randolph

Publication date: 9 May 1996

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

Full work available at URL: https://doi.org/10.1006/jdeq.1996.0025

zbMATH Keywords

Green's functionroughnessexponential dichotomyhyperbolicityspectral mapping theorem\(C_ 0\)-semigroupslinear skew-product flowsevolutionary semigroupsBanach algebra of weighted composition operatorsnon-autonomous abstract Cauchy problemsstrongly continuous semi-cocycle over a locally compact metric space acting on Banach fibers

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Linear operators on function spaces (general) (47B38) Linear differential equations in abstract spaces (34G10)

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