An extension of some theorems of L. Barreira and C. Valls for the nonuniform exponential dichotomous evolution operators (Q663660)
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scientific article; zbMATH DE number 6009619
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An extension of some theorems of L. Barreira and C. Valls for the nonuniform exponential dichotomous evolution operators |
scientific article; zbMATH DE number 6009619 |
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An extension of some theorems of L. Barreira and C. Valls for the nonuniform exponential dichotomous evolution operators (English)
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27 February 2012
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This paper extends some recent results by \textit{L. Barreira} and \textit{C. Valls} in [J. Differ. Equations 249, No. 11, 2889--2904 (2010; Zbl 1228.34090)] on nonuniform exponential stability to nonuniform exponential dichotomy. The main result gives a sufficient condition for the nonuniform exponential dichotomy for a strongly continuous evolution family in terms of the admissibility of two function spaces.
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nonuniformly exponential boundedness
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strongly continuous evolution family
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admissibility
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nonuniformly exponential dichotomy
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