微分包含端点周期解及松弛定理

ON THE EXISTENCE OF EXTREMAL PERIODIC SOLUTION AND RELAXATION THEOREM FOR DIFFERENTIAL INCLUSION

利用单边Lipschitz条件给出了微分包含x.(t)∈extF(t,x(t))的周期解的存在性定理,并且证明了x.(t)∈extF(t,,x(t))的解集在x.(t)∈F(t,x(t))的解集中稠.

In this paper we study the existence of periodic solution for differential inclusion x＇ （t） ∈ ext F（ t,x （t））.Also it is showed that the solution set of x＇（t） ∈ ext F（ t,x（t） ） is dense in the solution set of x＇ （t） ∈ F（ t,x（t））.