Solutions to abstract integral equations and infinite delay evolution equations (Q657660)
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scientific article; zbMATH DE number 5996082
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solutions to abstract integral equations and infinite delay evolution equations |
scientific article; zbMATH DE number 5996082 |
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Solutions to abstract integral equations and infinite delay evolution equations (English)
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10 January 2012
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The authors first establish general criteria to judge the existence of Lipschitz continuous solutions to the Cauchy problem for integral equations with infinite delay in Banach spaces. Then they give new existence theorems of strong and classical solutions to the Cauchy problem for some evolution equations with infinite delay by means of these criteria.
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Lipschitz continuity
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Cauchy problem
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abstract integral equation
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infinite delay evolution equation
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infinite delay
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Banach spaces
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