Integral characterizations for exponential stability of semigroups and evolution families on Banach spaces (Q2469425)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integral characterizations for exponential stability of semigroups and evolution families on Banach spaces |
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Integral characterizations for exponential stability of semigroups and evolution families on Banach spaces (English)
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5 February 2008
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The present paper deals with some extensions of the well-known stability criteria of Perron type in the stability theory of linear ordinary differential equations to evolution families, obtained when one integrates linear evolution equations in Banach spaces. Some other variations of Perron type of results such as Pazy and Rolewicz's types are also of interest.
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locally bounded semigroups
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evolution families
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exponential stability
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Datko-Pazy and Rolewicz's theorem
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