Existence results for initial value problems in Banach spaces (Q1355043)
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scientific article; zbMATH DE number 1011011
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence results for initial value problems in Banach spaces |
scientific article; zbMATH DE number 1011011 |
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Existence results for initial value problems in Banach spaces (English)
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19 January 1998
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Using Krasnoselskij's fixed point theorem the authors prove some existence results for the initial value problem \(y'=g(t,y) +h(t,y)\), \(y(0)=a\), where \(g\) is assumed to be compact and \(h\) Lipschitz in a real Banach space \(E\).
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local existence
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Krasnoselskij's fixed point theorem
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initial value problem
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0.9628328
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0.92983305
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