On the solution operator of a differential inclusion (Q2892388)
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scientific article; zbMATH DE number 6047490
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the solution operator of a differential inclusion |
scientific article; zbMATH DE number 6047490 |
Statements
18 June 2012
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Cauchy problem
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differential inclusion
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multivalued operator
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multivalued contraction
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Bielecki norm
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0.9302038
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0.9181862
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On the solution operator of a differential inclusion (English)
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The only result of this paper states that for a multivalued Cauchy problem with an integrably bounded measurable-\(k\)-Lipschitz right hand side having compact convex values, the solution map is continuous with respect to the Hausdorff metric. As it may be expected, in a rather standard proof the author uses the Bielecki norm to get a Lipschitz property for the respective operator acting in function spaces.
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