Hoạt động trong tuần

Accurate appromixated solution to the differential inclusion based on the ordinary differential equation
Báo cáo viên: Nguyễn Thị Hiền

Thời gian: 9h, Thứ 5, ngày 9/5/2019
Địa điểm: Phòng 513, Nhà A6, Viện Toán học, 18 Hoàng Quốc Việt

Tóm tắt: 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.

Trở lại