| Hilbert空间中的一类随机算子方程 |
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| 引用本文： | 朱传喜,徐宗本.Hilbert空间中的一类随机算子方程[J].数学学报,2004,47(4):641-646. |
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| 作者姓名： | 朱传喜 徐宗本 |
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| 作者单位： | 1. 西安交通大学应用数学研究中心,西安,710049;南昌大学(南区)数理学院,南昌,330029
2. 西安交通大学应用数学研究中心,西安,710049 |
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| 基金项目： | 国家自然科学基金(69975016)，江西省自然科学基金(0011022) |
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| 摘 要： | 本文提出了随机强制算子与随机强单调算子的新概念。研究了在Hilbert空问中一类随机算子方程的随机解。同时推广了著名的Krasnoselkii定理。
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| 关 键 词： | 随机不动点指数 随机算子方程 Hilbert空间 |
| 文章编号： | 0583-1431(2004)04-0641-06 |
A Class of Random Operator Equations in the Hilbert Space |
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| Chuan Xi ZHU Research Center for Applied Mathematics,Xi'an Jiaotong University,Xi'an ,P. R. China The Faculty of Mathematics and Phgsics,Nanchang University,Nanchang ,P. R. China E-mail: zhu.chuanxi@.net
Zong Ben XU Research Center for Applied Mathematics,Xi'an Jiaotong University,Xi'an ,P.R.China Email: zbxu@mail.xjtu.edu.cn.A Class of Random Operator Equations in the Hilbert Space[J].Acta Mathematica Sinica,2004,47(4):641-646. |
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| Authors: | Chuan Xi ZHU Research Center for Applied Mathematics Xi'an Jiaotong University Xi'an P R China The Faculty of Mathematics and Phgsics Nanchang University Nanchang P R China E-mail: zhuchuanxi@net
Zong Ben XU Research Center for Applied Mathematics Xi'an Jiaotong University Xi'an PRChina Email: zbxu@mailxjtueducn |
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| Institution: | Chuan Xi ZHU Research Center for Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049, P. R. China The Faculty of Mathematics and Phgsics, Nanchang University, Nanchang 330029, P. R. China E-mail: zhu.chuanxi@263.net
Zong Ben XU Research Center for Applied Mathematics,Xi'an Jiaotong University,Xi'an 710049,P.R.China Email: zbxu@mail.xjtu.edu.cn |
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| Abstract: | In this paper, new concepts of random forced operator and random powerful
monotonous operator are introduced. Random solution of a class of random operator
equations is investigated in the Hilbert space. In the meantime, the famous Kras-
noselkii's theorem is generalized. |
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| Keywords: | Random fixed point index Random operator equation Hilbert space |
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