| 一类可靠性模型研究中出现的投影算子的表达式及其应用 |
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| 引用本文： | 周俊强,艾尼·吾甫尔.一类可靠性模型研究中出现的投影算子的表达式及其应用[J].新疆大学学报(理工版),2007,24(4):379-389. |
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| 作者姓名： | 周俊强 艾尼·吾甫尔 |
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| 作者单位： | 新疆大学数学与系统科学学院 新疆乌鲁木齐830046 |
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| 基金项目： | 教育部科学技术研究项目;新疆高等学校科研项目;新疆大学校科研和教改项目 |
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| 摘 要： | 讨论一个可靠机器，一个不可靠机器和一个缓冲库构成的系统的数学模型研究中出现的投影算子的结构．用线性算子的谱理论给出此投影算子的表达式．由此说明该模型的时间依赖解指数收敛于该模型的稳态解．
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| 关 键 词： | 特征值 几何重数 投影算子 |
| 文章编号： | 1000-2839（2007）04-0379-11 |
| 修稿时间： | 2007-06-18 |
The Expression of the Project Operator Appeared During Research of a Reliability Model and Its Application |
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| ZHOU Jun-qiang,Geni Gupur.The Expression of the Project Operator Appeared During Research of a Reliability Model and Its Application[J].Journal of Xinjiang University(Science & Engineering),2007,24(4):379-389. |
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| Authors: | ZHOU Jun-qiang Geni Gupur |
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| Institution: | College of Mathematics and Systems Science, Xinjiang University ,Urumqi, Xinjiang 830046, China |
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| Abstract: | We study the expression of the project operator appeared during research of the reliability model that the system consisting of a reliable machine,an unreliable machine and a storage buffer.By using spectral theory of linear operators,we give the expression of the project operator.Thus we show the time-dependent solution of the model converges exponentially to the steady-state solution of the model. |
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| Keywords: | eigenvalue geometric multiplicity project operator |
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