Nonuniform exponential stability and admissibility

DOI10.1080/03081087.2015.1044744zbMath1350.34045OpenAlexW1582741569MaRDI QIDQ2787608

Claudia Valls, Luis Barreira

Publication date: 4 March 2016

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2015.1044744

zbMATH Keywords

exponential stabilitydichotomyadmissibilityhyperbolic cocycle

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Linear differential equations in abstract spaces (34G10) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Growth, boundedness, comparison of solutions to difference equations (39A22)

Cites Work

• Function spaces with translations
• Exponential stability, exponential expansiveness, and exponential dichotomy of evolution equations on the half-line
• Robustness of exponential dichotomies in infinite-dimensional dynamical systems
• Schäffer spaces and uniform exponential stability of linear skew-product semiflows
• Existence and roughness of the exponential dichotomy for skew-product semiflow in Banach spaces
• Sets of ``non-typical points have full topological entropy and full Hausdorff dimension
• Stability of nonautonomous differential equations
• Exponential dichotomy of evolution equations and admissibility of function spaces on a half-line
• Dichotomies and reducibility
• Linear differential equations and functional analysis. I
• Exponential dichotomy roughness on Banach spaces
• Nonuniform dichotomy of evolutionary processes in Banach spaces
• FAMILIES OF INVARIANT MANIFOLDS CORRESPONDING TO NONZERO CHARACTERISTIC EXPONENTS