Dichotomies with no invariant unstable manifolds for autonomous equations

DOI10.1155/2012/527647zbMath1254.47029OpenAlexW2077471078WikidataQ58908298 ScholiaQ58908298MaRDI QIDQ416327

Răzvan O. Moşincat, Ciprian Preda, Petre Preda

Publication date: 10 May 2012

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/527647

zbMATH Keywords

autonomous differential equationsexistence of exponential dichotomies

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 (3)

Discrete Schäffer spaces and exponential dichotomy for evolution families ⋮ Generalized exponential trichotomies for abstract evolution operators on the real line ⋮ Continuous-time dichotomies without unstable invariant manifolds for autonomous system

Cites Work

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• On stability of linear time-varying infinite-dimensional discrete-time systems
• A discrete Perron--Ta Li type theorem for the dichotomy of evolution operators
• Semigroups of linear operators and applications to partial differential equations
• The stability and control of discrete processes
• Geometric theory of semilinear parabolic equations
• Exponential stability, exponential expansiveness, and exponential dichotomy of evolution equations on the half-line
• Discrete dichotomies
• An integrability condition on the resolvent for hyperbolicity of the semigroup
• Schäffer spaces and uniform exponential stability of linear skew-product semiflows
• On the stability problem for difference equations
• Exponential stability of operators and operator semigroups
• The asymptotic behaviour of semigroups of linear operators
• Dichotomies for linear difference equations
• On an application of a Banach-Steinhaus theorem to the study of the boundedness of solutions of non-linear differential and difference equations
• On the exponential stability and dichotomy of $C_0$-semigroups
• One-Parameter Semigroups for Linear Evolution Equations

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