摘要
利用一般随机收缩，证明具有随机定义域的非线性随机算子方程组的解的存在唯一性定理，给出非线性随机积分和微分方程组的某些应用，改进和推广了某些结果．
In this paper several existence and uniqueness theorems of solution are proved for a system of nonlinear random opetator equations with stochastic domain by using general random contractors.Then some applications of our results are given to systems of nonlinesr random integtal and differential equations.The corresponding results are approved and extended.
关键词
随机收缩
非线性
随机算子方程组
random contractor,a system of nonlinear random operator equations,a system of random integral equations,a system of random differential equations
