Schäffer spaces and exponential dichotomy for evolutionary processes
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Publication:855395
DOI10.1016/j.jde.2006.02.004zbMath1108.47041OpenAlexW1968085680MaRDI QIDQ855395
Alin Pogan, Ciprian Preda, Petre Preda
Publication date: 7 December 2006
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2006.02.004
One-parameter semigroups and linear evolution equations (47D06) Asymptotic stability in control theory (93D20) Asymptotic properties of solutions to ordinary differential equations (34D05)
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Cites Work
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- Function spaces with translations
- Semigroups of linear operators and applications to partial differential 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
- Schäffer spaces and uniform exponential stability of linear skew-product semiflows
- \((L^p,L^q)\)-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
- 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
- Semigroups and Stability of Nonautonomous Differential Equations in Banach Spaces
- Sufficient conditions for exponential stability and dichotomy of evolution equations
- ON ${\bf (a,b)}$ -DICHOTOMY FOR EVOLUTIONARY PROCESSES ON A HALF-LINE
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