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| 非线性随机算子方程组的解与其应用 | |
| 引用本文： | 郭跃华 王凡. 非线性随机算子方程组的解与其应用[J]. 南通工学院学报(社会科学版), 1996, 12(1): 9-17 |
| 作者姓名： | 郭跃华 王凡 |
| 作者单位： | [1]南通工学院 [2]南通师范专科学校 |
| 摘 要： | 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。 |
| 关 键 词： | 非线性 随机算子方程组 随机微分方程组 解 |
SOLUTIONS FOR THE SYSTEM OF NONLINEAR RANDOM OPERATOR EQUATIONS AND THEIR APPLICATIONS |
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| Guo Yuehua Wang Fan Zhuang Haiyi CNantong Institute of Technology,Nantong Teacher''s College). SOLUTIONS FOR THE SYSTEM OF NONLINEAR RANDOM OPERATOR EQUATIONS AND THEIR APPLICATIONS[J]. Journal Of Nantong University(Education Sciences Edition), 1996, 12(1): 9-17 | |
| Authors: | Guo Yuehua Wang Fan Zhuang Haiyi CNantong Institute of Technology Nantong Teacher''s College) |
| Abstract: | 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. Some applications of our results are given to the system of nonlinear random integral and differential equations. The corresponding results are improved and extended. |
| Keywords: | random contraction system of nonlinear random operator equations system of random integral equations system of random differential equations |
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