Komleva T. A.
Ukr. Mat. Zh. - 2018. - 70, № 11. - pp. 1519-1524
We consider one multivalued discrete system and study its properties and the existence of its solution.
Ukr. Mat. Zh. - 2008. - 60, № 10. - pp. 1326–1337
Some special space of convex compact sets is considered and notions of a derivative and an integral for multivalued mapping different from already known ones are introduced. The differential equation with multivalued right-hand side satisfying the Caratheodory conditions is also considered and the theorems on the existence and uniqueness of its solutions are proved. In contrast to O. Kaleva's approach, the given approach enables one to consider fuzzy differential equations as usual differential equations with multivalued solutions.
Ukr. Mat. Zh. - 2004. - 56, № 4. - pp. 484–494
We consider a differential bilinear inclusion with control and present conditions under which the reachability set for this inclusion is compact.
Ukr. Mat. Zh. - 2001. - 53, № 5. - pp. 702-706
For a nonlinear antagonistic two-person differential game on a manifold, we propose a method for the solution of the pursuit problem and determine the time of guaranteed capture.