## 留言板

 引用本文: 何冲. 随机区域函数及其应用[J]. 应用数学和力学, 1986, 7(3): 265-271.
He Chong. Random Region Function and Its Applications[J]. Applied Mathematics and Mechanics, 1986, 7(3): 265-271.
 Citation: He Chong. Random Region Function and Its Applications[J]. Applied Mathematics and Mechanics, 1986, 7(3): 265-271.

## Random Region Function and Its Applications

• 摘要: 本文建立了随机区域、随机区域函数的一些基本理论,由这些概念出发,通过随机区域的随机区域函数的随机稳定点的存在性,建立了任一随机区域的随机稳定中心存在的必要充分条件。
•  [1] 何冲,区域函数,应用数学和力学.7, 2 (1986), 173-179. [2] Bharucha-Reid, A, T,Fined point theorem in probabilitic analysis, Bull, Amer, Math,Soc,82, 5 (1976),641-657. [3] Itoh, S A random fined point theorem for a multivalued contractor mapping, Pacific J, Math,68, 1 (1977),85-90. [4] Itoh, S.,Random filed point theorem with an application to random differential equations in Banach spaces, 1, Math, Anal, Appl,61 (1979),261-274. [5] Engl, H, W,Some random fined point theorem for strict contraction and noneapensive mapping, Nonlinear Anal, TMA, 2, 5 (1978),619-626. [6] Matheron, G,Random Sets and Integral Geometrg, 1, Wiley&Sons, New York-London-Sydney-Toronto (1975) [7] Clarke, F, H,Generalized gradient and applications, Trans, Amer, Math, Soc,205,78 (1975),247-262. [8] Богатырев,А.Б.,Непрерывные ветви многозначных отображенин с невыпуклов правой частъю,Маmем.Сб.162(1983),344-355. [9] Himmelberg, C, J, and F,S, Van Vleck, A note on the solution sets of differential inclusions, Rocky Mountain J, Math,12, 4 (1982),621-625. [10] 何冲,广义微分方程的来源,现状及其发展趋势,西南师范学院学报,数学专辑,2 (1985),50-68.
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##### 出版历程
• 收稿日期:  1983-09-08
• 刊出日期:  1986-03-15

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