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两不同部件并联可修系统解的稳定性
引用本文:郭卫华,许跟起,徐厚宝. 两不同部件并联可修系统解的稳定性[J]. 应用泛函分析学报, 2003, 5(3): 281-288
作者姓名:郭卫华  许跟起  徐厚宝
作者单位:1. 驻马店教育学院数学系,河南,驻马店,463000
2. 山西大学数学系,山西,太原,030006
3. 北京信息与控制研究所,北京,100037
基金项目:河南省教育厅自然科学基金 (2 0 0 0 110 0 14 )
摘    要:用强连续算子半群理论证明了两不同部件并联可修系统解的存在唯一性和非负性,并通过研究相应算子的谱特征得到了该系统的稳定性。

关 键 词:强连续算子 半群 稳定性 唯一性 非负性 可修系统
文章编号:1009-1327(2003)03-0281-08
修稿时间:2003-03-13

The Stability of Solution of A Parallel Repairable System With Two Non-Identical Unit
GUO Wei- hua,XU Gen- qi,XU Hou- bao. The Stability of Solution of A Parallel Repairable System With Two Non-Identical Unit[J]. Acta Analysis Functionalis Applicata, 2003, 5(3): 281-288
Authors:GUO Wei- hua  XU Gen- qi  XU Hou- bao
Affiliation:GUO Wei- hua1,XU Gen- qi2,XU Hou- bao3 1.Department of Mathematics,Zhumadian Education College,Zhumadian H enan 4 6 30 0 0,China 2 .Department of Mathematics,Shanxi University,Taiyuan0 30 0 0 6,China 3.Beijing Institute of Information and Control,Beijing10 0 0 37,China
Abstract:In present paper,we study the asymptotic behavior of a parallel repairable system with two non- identical units,we prove by strongly continuous semigroups of operators theory that there exists a unique non- negative solution of the system,the stability of the solution of this system is ob- tained by studying spectral properties of the operator corresponding to this system.
Keywords:parallel  repairable system  common- cause failure  semigroups of operators
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