Existence of solutions for a class of differential inclusions with memory (Q802828)
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scientific article; zbMATH DE number 4198483
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of solutions for a class of differential inclusions with memory |
scientific article; zbMATH DE number 4198483 |
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Existence of solutions for a class of differential inclusions with memory (English)
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1990
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Assuming that the set-valued map G is Hausdorff continuous with closed convex values with non-empty interior in a separable real Banach space it is proved that the delayed differential inclusion \(x'(t)\in Extr G(t,x(t- r(t))),\) where Extr denotes the set of the extreme points has a solution. The function r(\(\cdot)\) is assumed to be continuous.
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set-valued map
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Banach space
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delayed differential inclusion
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0.92605644
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0.90213275
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0.8990076
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