Exponential stability concepts for evolution families on \(\mathbb{R}\)

DOI10.1007/s00605-014-0726-zzbMath1329.47042OpenAlexW2063650670MaRDI QIDQ895441

Claudia Morariu, Ciprian Preda, Petre Preda

Publication date: 3 December 2015

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-014-0726-z

zbMATH Keywords

evolution familyadmissibilitystability on the real line

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Stability theory for ordinary differential equations (34D99)

Related Items (1)

Robustness for linear evolution equations with non-instantaneous impulsive effects

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonuniform exponential dichotomies and admissibility
• Admissibility for nonuniform exponential contractions
• A version of a theorem of R.\,Datko for nonuniform exponential contractions
• An extension of some theorems of L. Barreira and C. Valls for the nonuniform exponential dichotomous evolution operators
• Pairs of function spaces and exponential dichotomy on the real line
• Invariant manifolds of admissible classes for semi-linear evolution equations
• Stable manifolds for semi-linear evolution equations and admissibility of function spaces on a half-line
• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• Dichotomies in stability theory
• Exponential dichotomy and mild solutions of nonautonomous equations in Banach spaces
• Exponential stability, exponential expansiveness, and exponential dichotomy of evolution equations on the half-line
• Robustness of exponential dichotomies in infinite-dimensional dynamical systems
• An integrability condition on the resolvent for hyperbolicity of the semigroup
• Schäffer spaces and uniform exponential stability of linear skew-product semiflows
• On nonuniform exponential dichotomy of evolution operators in Banach spaces.
• Exponentially dichotomous operators and exponential dichotomy of evolution equations on the half-line
• Integral equations on function spaces and dichotomy on the real line
• Exponential dichotomy for evolution families on the real line
• Exponential dichotomy of evolution equations and admissibility of function spaces on a half-line
• Exponential dichotomy on the real line and admissibility of function spaces
• One-Parameter Semigroups for Linear Evolution Equations
• Characterizations of dichotomies of evolution equations on the half-line

This page was built for publication: Exponential stability concepts for evolution families on \(\mathbb{R}\)