Spectral mapping theorems and stability theory in linear dynamical systems (Q605408)

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scientific article; zbMATH DE number 5818624
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Spectral mapping theorems and stability theory in linear dynamical systems
scientific article; zbMATH DE number 5818624

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    Spectral mapping theorems and stability theory in linear dynamical systems (English)
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    23 November 2010
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    The spectral properties of the operators inducing linear dynamical systems on Banach spaces determine the asymptotic properties of the systems. In this paper, an interaction between the spectral mapping properties of operators and stability properties of the corresponding dynamical systems is presented.
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    functional homomorphisms
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    dynamical systems
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    spectral mapping properties
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    operators
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    stability of dynamical systems
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    abstract Cauchy problems
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