Some Datko and Barbashin type characterizations for the uniform \(h\)-instability of evolution families

DOI10.3336/gm.57.2.07OpenAlexW4313363060MaRDI QIDQ5871568

Tian Yue

Publication date: 23 January 2023

Published in: Glasnik Matematicki (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3336/gm.57.2.07

zbMATH Keywords

growth rateevolution familyBarbashin type theoremDatko type theoremuniform \(h\)-instability

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A version of a theorem of R. Datko for stability in average
• A version of a theorem of R.\,Datko for nonuniform exponential contractions
• Polynomial growth rates
• Barbashin-type conditions for exponential stability of linear cocycles
• Stable manifolds for nonuniform polynomial dichotomies
• Strong nonuniform behaviour: a Datko type characterization
• Admissible Banach function spaces and nonuniform stabilities
• Polynomial stability and polynomial instability for skew-evolution semiflows
• Polynomial stability of evolution cocycles and Banach function spaces
• Integral conditions for nonuniform \(\mu\)-dichotomy on the half-line
• Stability of nonautonomous differential equations
• 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
• Perron type theorems for skew-evolution semiflows
• Discrete and continuous versions of Barbashin-type theorem of linear skew-evolution semiflows
• Polynomial stability of evolution operators in Banach spaces
• Datko type characterizations for nonuniform polynomial dichotomy
• On Barreira-Valls polynomial stability of evolution operators in Banach spaces
• PERTURBATIONS OF ASYMPTOTICALLY STABLE DIFFERENTIAL SYSTEMS
• Datko criteria for uniform instability in Banach spaces
• Barbashin conditions for uniform instability of evolution operators
• Datko-Pazy conditions for nonuniform exponential stability
• Uniform Asymptotic Stability of Evolutionary Processes in a Banach Space
• On the Applicability of Lyapunov’s Theorem in Hilbert Space
• A generalization for theorems of Datko and Barbashin type

This page was built for publication: Some Datko and Barbashin type characterizations for the uniform \(h\)-instability of evolution families