On the propagation of solutions of a delay equation (Q1119814)
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scientific article; zbMATH DE number 4097867
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the propagation of solutions of a delay equation |
scientific article; zbMATH DE number 4097867 |
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On the propagation of solutions of a delay equation (English)
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1988
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The propagation of the solutions (in the sense of families of semigroup operators) of the delay equation \(\dot x(t)=f(x(t))+g(x_ t),\) \(x_ 0=\phi\), is related to that of the equation \(\dot x(t)=f(x(t))\), \(x(0)=\phi (0)\), where \(x(t)\in B\), \(x_ t\) is a restriction of x for moments less than t and B is a Banach space.
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semigroup operators
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delay equation
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Banach space
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