On uniform exponential stability of linear skew-product semiflows in Banach spaces (Q700072)
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scientific article; zbMATH DE number 1809639
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On uniform exponential stability of linear skew-product semiflows in Banach spaces |
scientific article; zbMATH DE number 1809639 |
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On uniform exponential stability of linear skew-product semiflows in Banach spaces (English)
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5 March 2004
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The authors give necessary and sufficient conditions for the uniform exponential stability of linear skew-product semiflows which may be generated by linear evolution equations in Banach spaces. This is done by employing Banach function spaces. Generalizations of some well-known results of Datko, van Neerven, Rolewicz and Zabczyk are obtained.
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uniform exponential stability
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skew-product semiflow
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cocycle
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semigroup
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Banach function space
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