Weak and strong solutions for differential equations in Banach spaces (Q1433756)
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scientific article; zbMATH DE number 2077420
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weak and strong solutions for differential equations in Banach spaces |
scientific article; zbMATH DE number 2077420 |
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Weak and strong solutions for differential equations in Banach spaces (English)
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1 July 2004
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This paper is devoted to the existence of weak and strong solutions of the Cauchy problem \[ \dot x(t)= f(t,x(t)), \qquad x(0)= x_0, \] where \(f: [0,T]\times E\to E\) and \(E\) is a Banach space. To this end, the author uses a measure of weak (strong) noncompactness.
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weak and strong solutions
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measure of noncompactness
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