| 具有不同故障模式的并联可修复系统主算子的性质研究 |
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| 引用本文： | 赵志欣1,唐慧1,冯宇2. 具有不同故障模式的并联可修复系统主算子的性质研究[J]. 延边大学学报(自然科学版), 2019, 0(4): 292-298 |
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| 作者姓名： | 赵志欣1 唐慧1 冯宇2 |
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| 作者单位： | ( 1.长春师范大学 数学学院, 吉林 长春 130032; 2.延边大学 信息化中心, 吉林 延吉 133002 ) |
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| 摘 要： | 研究了具有不同故障模式的并联可修复系统.首先运用C0半群理论,证明了系统主算子为预解正算子,并给出了系统主算子的共轭算子及其定义域.然后利用共尾和预解正算子理论,证明了系统主算子的谱界与增长界相等.
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| 关 键 词： | 可修复系统 谱界 共尾 |
Properties of the main operator of parallel repairable system with different failure modes |
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| ZHAO Zhixin1,TANG Hui1,FENG Yu2. Properties of the main operator of parallel repairable system with different failure modes[J]. Journal of Yanbian University (Natural Science), 2019, 0(4): 292-298 |
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| Authors: | ZHAO Zhixin1 TANG Hui1 FENG Yu2 |
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| Affiliation: | ( 1.School of Mathematics, Changchun Normal University, Changchun 130032, China; 2.Information Center, Yanbian University, Yanji 133002, China ) |
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| Abstract: | This paper presents a parallel repairable system with different failure modes. Firstly, we prove the main operator of the system is a resolvent positive operator by using C0 semigroup theory. The adjoint operator of the main operator and its domain is obtained. Then, we prove the spectral bound of the system main operator is equal to its growth bound by using confinal and the resolvent positive operator theory. |
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| Keywords: | repairable system spectral bound confinal |
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