Existence theorem for weak solutions to random differential inclusions in Banach spaces (Q2767453)
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scientific article; zbMATH DE number 1697463
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence theorem for weak solutions to random differential inclusions in Banach spaces |
scientific article; zbMATH DE number 1697463 |
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29 January 2002
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weak solutions
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differential inclusions
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random differential inclusions
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Banach spaces
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Existence theorem for weak solutions to random differential inclusions in Banach spaces (English)
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The authors consider a Cauchy problem for differential inclusions of the type \(x'(t) \in F(t,x(t))\), a.e. on \([a,b]\), \(x(a)=x_0\), where \(F\) is a set-valued map with values in a real reflexive Banach space. On this problem the authors give an existence result for weak solutions when \(F\) is controlled by a weakly integrable bounded set-valued map. In the second part, a random differential inclusion is examined, and the existence of weak solutions is proved for it.
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