Barbashin type characterizations for the uniform polynomial stability and instability of evolution families

DOI10.1515/gmj-2022-2188OpenAlexW4296679624MaRDI QIDQ2101302

Tian Yue

Publication date: 5 December 2022

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2022-2188

zbMATH Keywords

evolution familyBanach function spacesBarbashin type theoremuniform polynomial (in)stability

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Stability of solutions to ordinary differential equations (34D20) Linear differential equations in abstract spaces (34G10)

Cites Work

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• An extension of a theorem of E. A. Barbashin to the dichotomy of abstract evolution operators
• On uniform exponential stability of linear skew-product semiflows in Banach spaces
• Polynomial growth rates
• Barbashin-type conditions for exponential stability of linear cocycles
• Continuous and discrete characterizations for the uniform exponential stability of linear skew-evolution semiflows
• Stable manifolds for nonuniform polynomial dichotomies
• Exponential instability of linear skew-product semiflows in terms of Banach function spaces
• Exponential stability of operators and operator semigroups
• Polynomial stability and polynomial instability for skew-evolution semiflows
• Admissibility and polynomial dichotomies for evolution families
• Polynomial stability of evolution cocycles and Banach function spaces
• The strong variant of a Barbashin theorem on stability of solutions for non-autonomous differential equations in Banach spaces
• Extending a theorem of A. M. Liapunov to Hilbert space
• On the polynomial stability of evolution families
• On two theorems regarding exponential stability
• Discrete and continuous versions of Barbashin-type theorem of linear skew-evolution semiflows
• Polynomial stability of evolution operators in Banach spaces
• Exponential stability and exponential instability for linear skew-product flows
• Datko type characterizations for nonuniform polynomial dichotomy
• On Barreira-Valls polynomial stability of evolution operators in Banach spaces
• Admissibility and nonuniform polynomial dichotomies
• Uniform Asymptotic Stability of Evolutionary Processes in a Banach Space
• On the Applicability of Lyapunov’s Theorem in Hilbert Space
• Polynomial expansiveness and admissibility of weighted Lebesgue spaces
• A generalization for theorems of Datko and Barbashin type

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