相对于随机微分方程的广泛讨论，随机积分方程的研究就显得滞后很多。

Compared with the study of stochastic differential equations, non-Lipschitz stochastic integral equations seems relatively lagging.

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其次，给出了我们的结果对非线性随机积分和微分方程的某些应用。

Next, some applications of our results to nonlinear random integral and differential equations are given.

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本文利用随机收缩，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与唯一性定理，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 solutions are proved for the system of nonlinear random operator equations with stochastic domain by using general random contraction.

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