Local existence for abstract semilinear Volterra integrodifferential equations (Q1317846)
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scientific article; zbMATH DE number 536840
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local existence for abstract semilinear Volterra integrodifferential equations |
scientific article; zbMATH DE number 536840 |
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Local existence for abstract semilinear Volterra integrodifferential equations (English)
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22 August 1994
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The authors prove some existence results for mild solutions of a linear Volterra integrodifferential equation perturbed either by a continuous nonlinear hereditary term, or by a lower semicontinuous multivalued function. The main idea of proof is to use some compactness properties of the corresponding resolvent kernel pertaining a direct application of Schauder's fixed point theorem.
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local existence
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abstract semilinear Volterra integro-differential equations
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compactness methods
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mild solutions
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