Nonuniform dichotomy of evolutionary processes in Banach spaces

DOI10.1017/S0004972700011473zbMath0503.34030MaRDI QIDQ3969225

Petre Preda, Mihail Megan

Publication date: 1983

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Banach spaceadmissibilitynonuniform dichotomylinear evolutionary processes

Mathematics Subject Classification ID

Input-output approaches in control theory (93D25) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (17)

Admissibility and nonuniform exponential dichotomies ⋮ Nonuniform dichotomic behavior: Lipschitz invariant manifolds for ODEs ⋮ Uniform exponential dichotomy of stochastic cocycles ⋮ Unnamed Item ⋮ Equivalences between nonuniform exponential dichotomy and admissibility ⋮ Nonuniform Hyperbolicity and Admissibility ⋮ Admissibility for nonuniform exponential contractions ⋮ Admissibility criteria for nonuniform dichotomic behavior of nonautonomous systems on the whole line ⋮ On spectral characterization of nonuniform hyperbolicity ⋮ Admissibility for nonuniform \((\mu,v)\) contraction and dichotomy ⋮ Generalized dichotomies and Hyers-Ulam stability ⋮ An extension of some theorems of L. Barreira and C. Valls for the nonuniform exponential dichotomous evolution operators ⋮ Exponential dichotomies of evolution operators in Banach spaces ⋮ Nonuniform exponential stability and admissibility ⋮ Admissibility and polynomial dichotomies for evolution families ⋮ Admissibility in the strong and weak senses ⋮ On nonuniform exponential dichotomy of evolution operators in Banach spaces.

Cites Work

• The Infinite-Dimensional Riccati Equation for Systems Defined by Evolution Operators
• On the Input-Output Stability of Linear Controllable Systems

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