随机集值系统解的存在定理(英文)

Existence Theorems of Random Solution for Random Set-Valued System

在Banach空间介绍一类意义更广的随机集值系统x(ω)∈F(ω,x(ω),y(ω)),y(ω)∈G(ω,x(ω),y(ω)),并且在一定条件下证明这类系统随机解的存在性,其中F和G是随机集值映射.

The aim of this work is to introduce a form of generalized random set-valued system x（ω）∈F（ω,x（ω）,y（ω））,y（ω）∈G（ω,x（ω）,y（ω）） in Banach space and to prove some results on existence of random solutions for this system under suitable conditions,where F and G are random set-valued mappings.