An extension of some theorems of L. Barreira and C. Valls for the nonuniform exponential dichotomous evolution operators
DOI10.1016/j.jmaa.2011.10.062zbMath1242.34114OpenAlexW1997254959MaRDI QIDQ663660
Cristina Praţa, Ciprian Preda, Petre Preda
Publication date: 27 February 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.10.062
admissibilitynonuniformly exponential boundednessnonuniformly exponential dichotomystrongly continuous evolution family
Nonlinear differential equations in abstract spaces (34G20) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)
Related Items (7)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonuniform exponential dichotomies and admissibility
- Admissibility for nonuniform exponential contractions
- Schäffer spaces and exponential dichotomy for evolutionary processes
- 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
- Nonuniform exponential contractions and Lyapunov sequences
- Semigroups of linear operators and applications to partial differential equations
- Invertibility and dichotomy of differential operators on a half-line
- Infinite dimensional linear systems 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
- Hyperbolic evolution semigroups on vector valued function spaces
- An integrability condition on the resolvent for hyperbolicity of the semigroup
- Exponential dichotomy of difference equations and applications to evolution equations on the half-line
- Schäffer spaces and uniform exponential stability of linear skew-product semiflows
- Exponentially dichotomous operators and exponential dichotomy of evolution equations on the half-line
- \((L^p,L^q)\)-admissibility and exponential dichotomy of evolutionary processes on the half-line
- Evolutionary semigroups and Lyapunov theorems in Banach spaces
- Dichotomy of differential equations on Banach spaces and an algebra of weighted translation operators
- The spectral mapping theorem for evolution semigroups on spaces of vector-valued functions
- Sets of ``non-typical points have full topological entropy and full Hausdorff dimension
- Nonuniform exponential dichotomies and Lyapunov regularity
- Stability of nonautonomous differential equations
- Exponential dichotomy of evolution equations and admissibility of function spaces on a half-line
- Optimal estimates along stable manifolds of non-uniformly hyperbolic dynamics
- Nonuniform dichotomy of evolutionary processes in Banach spaces
- On the proof of characterizations of the exponential dichotomy
- Semigroups and Stability of Nonautonomous Differential Equations in Banach Spaces
- Sufficient conditions for exponential stability and dichotomy of evolution equations
- Asymptotically autonomous parabolic evolution equations.
- Characterizations of dichotomies of evolution equations on the half-line
This page was built for publication: An extension of some theorems of L. Barreira and C. Valls for the nonuniform exponential dichotomous evolution operators