Existence principles for Carathéodory differential equations in Banach spaces (Q1310497)
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scientific article; zbMATH DE number 482109
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence principles for Carathéodory differential equations in Banach spaces |
scientific article; zbMATH DE number 482109 |
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Existence principles for Carathéodory differential equations in Banach spaces (English)
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6 January 1994
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The authors are introducing the notion of ``\(K\)-Carathéodory function'' in infinite dimensional Banach spaces. \(K\)-Carathéodory is stronger than Carathéodory. In finite dimensions these two notions are equivalent. Then the authors are investigating boundary value problems for ODE with \(K\)-Carathéodory right hand side.
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\(K\)-Carathéodory function
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Banach spaces
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boundary value problems
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