A decomposition theorem for solving initial value problems in associated spaces (Q1896383)
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scientific article; zbMATH DE number 790785
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A decomposition theorem for solving initial value problems in associated spaces |
scientific article; zbMATH DE number 790785 |
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A decomposition theorem for solving initial value problems in associated spaces (English)
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27 August 1995
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The authors study initial value problems of the type \(du/dt = Fu\), \(u(0) = u_0\). The main result is a decomposition theorem obtained in two versions. The first uses families of scales of Banach spaces. The second one applies the contraction mapping principle.
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initial value problems
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decomposition theorem
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families of scales of Banach spaces
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contraction mapping principle
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