二阶微分包含边值问题的存在性定理

Existence Theorems for Boundary Value-Problems for Seconds Order Differential Inclusion

研究了一类二阶微分包含两点边值问题,利用Leray-Schauder不动点定理给出了在不同假设下凸和非凸两种情形下解的存在性定理,并且给出了在反馈控制系统的应用.

In this paper we consider two-point boundary value problem for second order differential inclusion.Using Leray-Schauder alternative theorem,we prove existence theorems under various sets of hypotheses for both the convex and nonconvex problems.A feedback control systems is also considered.