On parameter depending differential systems under Carathéodory conditions (Q1338017)
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scientific article; zbMATH DE number 687812
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On parameter depending differential systems under Carathéodory conditions |
scientific article; zbMATH DE number 687812 |
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On parameter depending differential systems under Carathéodory conditions (English)
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1 May 1995
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The author considers a linear differential equation in a Banach space whose coefficients are holomorphic in a complex parameter and satisfy Carathéodory conditions. He shows that the initial value problem has locally absolutely continuous and almost everywhere differentiable solutions which are holomorphic in the parameter.
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linear differential equation in a Banach space
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holomorphic in a complex parameter
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initial value problem
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