Asymptotic properties of mild solutions of nonautonomous evolution equations with applications to retarded differential equations (Q5934235)
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scientific article; zbMATH DE number 1606171
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic properties of mild solutions of nonautonomous evolution equations with applications to retarded differential equations |
scientific article; zbMATH DE number 1606171 |
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Asymptotic properties of mild solutions of nonautonomous evolution equations with applications to retarded differential equations (English)
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19 June 2001
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asymptotic properties
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mild solutions
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nonautonomous evolution equations
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retarded differential equations
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periodicity
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almost-periodicity
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The authors study the nonautonomous Cauchy problem NEWLINE\[NEWLINE\dot u(t) =Au(t)+ B(t)u(t)+ f(t),\;t\in \mathbb{R},NEWLINE\]NEWLINE for a Hille-Yosida operator \(A\) and relatively bounded operators \(B(t)\). They prove qualitative properties of the solution \(u(\cdot)\) such as periodicity or almost-periodicity. The main applications are made to nonautonomous delay differential equations.
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