Existence of solutions for neutral integrodifferential equations with nonlocal conditions (Q1758317)
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scientific article; zbMATH DE number 6103941
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of solutions for neutral integrodifferential equations with nonlocal conditions |
scientific article; zbMATH DE number 6103941 |
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Existence of solutions for neutral integrodifferential equations with nonlocal conditions (English)
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9 November 2012
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The authors consider a class of semilinear neutral integro-differential equations with nonlocal conditions. By using fractional power operator theory, they get the existence of mild solutions, strong solutions and strict solutions in a Banach space. They discuss nonlocal conditions under the assumption that the given nonlocal function is neither compact nor Lipschitzian.
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neutral integrodifferential equation
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analytic semigroup
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resolvent operator
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fractional power operator
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nonlocal condition
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