| 一类两个相同部件并联的可修系统的稳定性 |
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| 引用本文： | 汪文珑.一类两个相同部件并联的可修系统的稳定性[J].绍兴文理学院学报,2006,26(3):1-6,12. |
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| 作者姓名： | 汪文珑 |
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| 作者单位： | 绍兴文理学院数学系,浙江绍兴312000 |
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| 基金项目： | 国家自然科学基金资助项目（60473034）. |
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| 摘 要： | 研究一类两个相同部件并联的可修系统．使用泛函分析方法，特别是Banach空间上的线性算子理论，证明了严格占优本征值的存在性，以及系统解的渐近稳定性，线性稳定性和指数稳定性．
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| 关 键 词： | 可修系统 严格占优本征值 渐近稳定性 线性稳定性 指数稳定性 |
| 文章编号： | 1008-293X（2006）09-0001-06 |
| 收稿时间： | 2006-09-02 |
The Stability of a System Consisting of Two Repairable Units |
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| Wang Wenlong.The Stability of a System Consisting of Two Repairable Units[J].Journal of Shaoxing College of Arts and Sciences,2006,26(3):1-6,12. |
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| Authors: | Wang Wenlong |
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| Abstract: | The solution of a system consisting of two repairable units was investigated. By means of functional analysis, particularly, the linear operator theory on Banach space, the existence of the strictly dominant eigenvalue is proved, showing the asymptotic stability, the linear stability and the exponential stability of the solution. |
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| Keywords: | repairable system strictly dominant eigenvalue asymptotic stability linear stability |
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