This article is cited in 1 paper

Fixed points and properties of solutions of differential inclusions

A. V. Bogatyrev


Abstract: Theorems are proved on arcwise connectivity and strong arcwise connectivity of the set of fixed points of a multivalued mapping. The results are used to prove that the family of solutions of a differential inclusion with nonconvex right-hand side is arcwise connected. The Hukuhara property and the boundary property of a time-optimal solution is established for this differential inclusion.
Bibliography: 9 titles.

UDC: 517.9

MSC: Primary 34A60, 47H10; Secondary 34G20, 34A45, 49E10, 49E15, 54C60, 54D05

Received: 08.06.1982

 English version: Mathematics of the USSR-Izvestiya, 1984, 23:1, 185–199

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