Individual exponential stability for evolution families of linear and bounded operators (Q2746294)
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scientific article; zbMATH DE number 1655816
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Individual exponential stability for evolution families of linear and bounded operators |
scientific article; zbMATH DE number 1655816 |
Statements
15 August 2002
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\(C_0\)-semigroup
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growth bound
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spectral radius
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Individual exponential stability for evolution families of linear and bounded operators (English)
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Several inequalities for the norms of a strongly continuous and exponentially bounded evolution family of bounded linear operators acting on a Banach space are obtained. These inequalities are related to a known result by \textit{R. Datko} [J. Math. Anal. Appl. 32, 610-616 (1970; Zbl 0211.16802)] concerning the growth bound of a \(C_0\)-semigroup.
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