Evolutionary Semigroups and Lyapunov Theorems in Banach Spaces

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dc.creatorLatushkin, Yuri D.
dc.creatorMontgomery-Smith, Stephen J.
dc.date1993-07-08
dc.date1999-12-06
dc.date.accessioned2026-07-07T09:04:41Z
dc.date.available2026-07-07T09:04:41Z
dc.descriptionWe present a spectral mapping theorem for continuous semigroups of operators on any Banach space $E$. The condition for the hyperbolicity of a semigroup on $E$ is given in terms of the generator of an evolutionary semigroup acting in the space of $E$-valued functions. The evolutionary semigroup generated by the propagator of a nonautonomous differential equation in $E$ is also studied. A ``discrete'' technique for the investigating of the evolutionary semigroup is developed and applied to describe the hyperbolicity (exponential dichotomy) of the nonautonomuos equation. File Length: 68K
dc.identifierhttps://arxiv.org/abs/math/9307201
dc.identifierhttp://arxiv.org/abs/math/9307201
dc.identifierJ. Func. Anal. 127, (1995), 173-197
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149467
dc.subjectFunctional Analysis
dc.subject47D
dc.titleEvolutionary Semigroups and Lyapunov Theorems in Banach Spaces
dc.typetext

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