FIXED POINTS AND PROPERTIES OF SOLUTIONS OF DIFFERENTIAL INCLUSIONS
A. V. Bogatyrev · Mathematics of the USSR-Izvestiya · 1984
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.