Stability of Volterra equations with measure kernels in Banach spaces (Q1310854)
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scientific article; zbMATH DE number 484008
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of Volterra equations with measure kernels in Banach spaces |
scientific article; zbMATH DE number 484008 |
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Stability of Volterra equations with measure kernels in Banach spaces (English)
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26 May 1994
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The author extends the classical results on stability referring to integral equations in weighted spaces with measure as kernels, to measure with values in Banach algebras. The main assumption used is that the Laplace-Stieltjes transform of the kernel is invertible and the transform of the discrete part dominates the singular part.
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Volterra integral equation
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measure kernel
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stability
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weighted spaces
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Banach algebras
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Laplace-Stieltjes transform
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