一类发展包含的端点问题

Extremal Problems of a Class of Evolution Inclusions

考虑一类反周期发展包含端点解的存在性.当集值函数G(t,x)取有界紧凸值,且为关于变量t可测的、关于变量x连续时,利用Tolstonogov端点连续选择定理和Schauder不动点定理,证明了端点反周期解的存在性.

We proved that the existence ot anti-periodic extremal solutions when the mutilfuction G（t,r） takes a bounded,weakly compact,convex value,and is measurable about variable t,and continuous about variable x,using the Tolstonogov extremal continuous selection theorem and the Schauder fixed point theory.