Time: 9h, Thusday, May 9, 2019
Địa điểm: Room 513, Building A6, Institute of Mathematics

Absatract: Many problems in applied mathematics can be transformed and described by the differential inclusion x ∈ f(t, x) − NQ^x involving NQ^x, which is a normal cone to a closed convex set Q ∈ R^n at x ∈ Q. The Cauchy problem of this inclusion is studied in the paper. Since the change of x leads to the change of NQx, solving the inclusion becomes extremely complicated. In this paper, we study an ordinary differential equation containing a control parameter K. When K is large enough, the studied equation gives a solution approximating to a solution of the inclusion above. The theorem about the approximation of these solutions with arbitrary small error (this error can be controlled by increasing K) is proved in this paper.