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On the existence of solutions to differential equations remaining in a given closed set - MaRDI portal

On the existence of solutions to differential equations remaining in a given closed set (Q2765903)

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scientific article; zbMATH DE number 1695114
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On the existence of solutions to differential equations remaining in a given closed set
scientific article; zbMATH DE number 1695114

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    1 August 2002
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    differential inclusions
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    existence
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    solutions
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    On the existence of solutions to differential equations remaining in a given closed set (English)
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    Differential inclusions on closed subsets of the Euclidean space \(\mathbb{R}^n\) are studied. Several interesting results devoted to the existence of solutions remaining in a considered closed subset of \(\mathbb{R}^n\) are presented. Sufficient conditions are expressed in topological terms, i.e., under the assumption that the considered closed set is a strong deformation retract or under homological conditions on it.
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