A discrete Perron--Ta Li type theorem for the dichotomy of evolution operators
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Publication:882049
DOI10.1016/J.JMAA.2006.10.056zbMath1130.47021OpenAlexW2016946609MaRDI QIDQ882049
Publication date: 23 May 2007
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.2006.10.056
One-parameter semigroups and linear evolution equations (47D06) Invariant manifold theory for dynamical systems (37D10) Asymptotic properties of solutions to ordinary differential equations (34D05) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)
Related Items (4)
Admissibility and roughness of nonuniform exponential dichotomies for difference equations ⋮ Discrete Schäffer spaces and exponential dichotomy for evolution families ⋮ Admissibility and nonuniform exponential dichotomies for difference equations without bounded growth or Lyapunov norms ⋮ Dichotomies with no invariant unstable manifolds for autonomous equations
Cites Work
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- On stability of linear time-varying infinite-dimensional discrete-time systems
- 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
- Hyperbolic evolution semigroups on vector valued function spaces
- Discrete dichotomies
- Discrete admissibility and exponential dichotomy for evolution families
- \((L^p,L^q)\)-admissibility and exponential dichotomy of evolutionary processes on the half-line
- Evolutionary semigroups and Lyapunov theorems in Banach spaces
- Exponential stability of operators and operator semigroups
- Dichotomy of differential equations on Banach spaces and an algebra of weighted translation operators
- Dichotomies for linear difference equations
- On an application of a Banach-Steinhaus theorem to the study of the boundedness of solutions of non-linear differential and difference equations
- On the proof of characterizations of the exponential dichotomy
- Sufficient conditions for exponential stability and dichotomy of evolution equations
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