非自治系统的生存定理(英文)

Viability Theorem on the Nonautonomous System

在某些适当的条件下证明了广义生存定理,并且给出一个例子说明Aubin提出的生存定理的 假设条件一般讲是不能改进的.

In this paper, the adapting viability theorem, which is put forword by J. P. Aubin, has been studied when the set-valued map is measurable. A generalized viability theorem is given under some adequate conditions and a counter example is supplied to show that the hypothesis of the viability theorem given by J. P. Aubin can not be improved.