| 两部件串联维修系统解的定性分析 |
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| 引用本文： | 郭卫华,杨明增. 两部件串联维修系统解的定性分析[J]. 数学季刊, 2003, 18(3): 320-327 |
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| 作者姓名： | 郭卫华 杨明增 |
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| 作者单位： | 1.Department of Mathematics，Zhumadian Education College，Zhumadia n 46300，China;2.Department of Mathematics，Henan Education College，Zhe ngzhou 450014，China |
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| 摘 要： | In this paper, firstly we study the series maintenance system with two components, obtain its exsistence and uniqueness of a dynamic state nonnegative solution by strongly continuous semigroups of operators theory. Then we prove that 0 is the eigenvalue of the system‘s host operators, and finally we study the eigenvector of the eigenvalue 0.
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| 关 键 词： | 非负解 串联维修系统 算子半群 存在性 唯一性 可靠性 微分方程 失效率 风险函数 Cauchy问题 特征值 |
The Qualitative Analysis of a Solution of a Series Maintenance System with Two Components |
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| GUO Wei-hua,YANG Ming-zeng. The Qualitative Analysis of a Solution of a Series Maintenance System with Two Components[J]. Chinese Quarterly Journal of Mathematics, 2003, 18(3): 320-327 |
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| Authors: | GUO Wei-hua YANG Ming-zeng |
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| Affiliation: | [1]DepartmentofMathematics,ZhumadianEducationCollege,Zhumadian46300,China [2]DepartmentofMathematics,HenanEducationCollege,Zhengzhou450014,China |
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| Abstract: | In this paper, firstly we study the series ma intenance system with two components, obtain its exsistence and uniqueness of a dynamic state nonnegative solution by strongly continuous semigroups of operator s theory. Then we prove that 0 is the eigenvalue of the system's host operators, a nd finally we study the eigenvector of the eigenvalue 0. |
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| Keywords: | series connection maintenance system semig roups of operators nonnegative solution |
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