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Topological dimension of a family of solutions of a Cauchy problem for differential inclusions - MaRDI portal

Topological dimension of a family of solutions of a Cauchy problem for differential inclusions (Q2780396)

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scientific article; zbMATH DE number 1728928
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Topological dimension of a family of solutions of a Cauchy problem for differential inclusions
scientific article; zbMATH DE number 1728928

    Statements

    9 June 2003
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    topological dimension
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    Cauchy problem for differential inclusion
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    multivalued maps
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    Topological dimension of a family of solutions of a Cauchy problem for differential inclusions (English)
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    The topological dimension of the set of solutions to the Cauchy problem for differential inclusions \(\dot x \in F(t,x)\), \(x(t_0)=x_0\), \(x\in \mathbb{R}^n\), is considered. As a preliminary result, estimations on the topological dimension of the set of fixed-points for multivalued maps are given.
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