| 一类可修复系统的解的存在唯一性 |
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| 引用本文： | 李洪霞,江博,邢春阳.一类可修复系统的解的存在唯一性[J].东北电力学院学报,2013(6):33-36. |
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| 作者姓名： | 李洪霞 江博 邢春阳 |
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| 作者单位： | 东北电力大学理学院,吉林吉林132012 |
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| 摘 要： | 对于一类具有人为故障率，修复率时间任意分布的可修复系统的数学模型，利用泛函理论将此系统转换为Banach空间下的第二型Volterra微分-积分方程，利用泛函分析初等方法得到系统解的存在唯一性证明，并同时得到系统解的形式。
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| 关 键 词： | 可修复系统 Voherra微分-积分方程 存在性 |
Existence and Uniqueness of the Solution of a Repairable System |
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| LI Hong-xia,JIANG Bo,XING Chun-yang.Existence and Uniqueness of the Solution of a Repairable System[J].Journal of Northeast China Institute of Electric Power Engineering,2013(6):33-36. |
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| Authors: | LI Hong-xia JIANG Bo XING Chun-yang |
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| Affiliation: | (Science College, Northeast Dianli University, Jilin Jilin 132012 ) |
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| Abstract: | A mathematical model of a repairable system with constant human error,common-cause failure rates and system repair times arbitrary discussed. In the paper,by using elementary methods of functional analysis the existence and uniqueness of the solution of the repairable system is obtained. |
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| Keywords: | Repairable systems Volterra Integral-differential equations Existence |
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