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An extension of a theorem of E. A. Barbashin to the dichotomy of abstract evolution operators - MaRDI portal

An extension of a theorem of E. A. Barbashin to the dichotomy of abstract evolution operators (Q617763)

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scientific article; zbMATH DE number 5835835
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An extension of a theorem of E. A. Barbashin to the dichotomy of abstract evolution operators
scientific article; zbMATH DE number 5835835

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    An extension of a theorem of E. A. Barbashin to the dichotomy of abstract evolution operators (English)
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    13 January 2011
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    Using a discrete time method, the authors give a necessary and sufficient condition for the uniform exponential dichotomy for abstract evolution equations. This extends known results by Barbashin, Datko, Lovelady, Pazy and Preda.
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    evolution families
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    uniform exponential dichotomy
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