Existence, uniqueness, and regularity of solutions to semilinear retarded differential equations (Q1769356)
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scientific article; zbMATH DE number 2148075
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence, uniqueness, and regularity of solutions to semilinear retarded differential equations |
scientific article; zbMATH DE number 2148075 |
Statements
Existence, uniqueness, and regularity of solutions to semilinear retarded differential equations (English)
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21 March 2005
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Summary: We consider a semilinear retarded differential equation in a Banach space. We first establish the existence and uniqueness of a mild solution and then prove its regularity under different additional conditions. Finally, we consider some applications of the abstract results.
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