| 复合结构可修复系统口香糖算子的性质 |
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| 引用本文： | 车明洙,姜世波,李伟源,张玉峰.复合结构可修复系统口香糖算子的性质[J].数学的实践与认识,2014(1). |
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| 作者姓名： | 车明洙 姜世波 李伟源 张玉峰 |
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| 作者单位： | 延边大学信息化中心;延边大学理学院数学系; |
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| 摘 要： | 研究了有15个部件串并联工作的多状态口香糖生产可修复系统.运用C_0半群的理论,证明了系统算子是稠定的预解正算子,得出了系统算子的共轭算子及其定义域,并证明了系统算子的增长界为0.最后运用了预解正算子中共尾的概念及相关理论,证明了系统算子的谱上界也是0.
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| 关 键 词： | 可修复系统 口香糖生产系统 预解正算子 共轭算子 增长界 共尾 谱上界 |
Property of the Bubble Gum Operator of a Multi-State Repairable System |
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| Abstract: | This paper present a multi-state repairable bubble gum production system which consists of fifteen sub-units working in series-parallel configuration.Using Co-semigroup theory,we first prove the system operator is a densely defined resolvent positive operator.Then,we obtain the adjoint operator of the system operator and its domain.Furthermore,we prove that 0 is the growth bound of the system operator.Finally,we show that 0 is also the upper spectral bound of the system operator using the concept of cofinal and relative theory. |
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| Keywords: | repairable system bubble gum production system resolvent positive operator adjoint operator growth bound cofinal upper spectral bound |
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