Asymptotic behaviour of solutions to a functional integrodifferential equation (Q1286752)
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scientific article; zbMATH DE number 1281618
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic behaviour of solutions to a functional integrodifferential equation |
scientific article; zbMATH DE number 1281618 |
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Asymptotic behaviour of solutions to a functional integrodifferential equation (English)
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14 May 2000
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The authors first recall results from \textit{A. Friedman}'s book [Partial differential equations (1969; Zbl 0224.35002)] concerning the linear evolution equation \(x'(t)+A(t)x(t)=0\). Under conditions too complicated to be stated here, these results are extended (by contraction mappings) to \[ x'(t)+A(t)x(t)=g \Biggl(t,x_t,\int ^t_0 k(t,s,x_s) ds\Biggr) . \]
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asymptotic
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functional integrodifferential equations
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linear evolution equation
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