| 一个两部件可修系统解的渐近行为 |
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| 引用本文： | 阿力木·米吉提.一个两部件可修系统解的渐近行为[J].安徽师范大学学报(自然科学版),2017,40(1). |
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| 作者姓名： | 阿力木·米吉提 |
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| 作者单位： | 新疆广播电视大学,新疆乌鲁木齐,830049 |
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| 基金项目： | the Special Training Research Project for Science and Technology Talents of Minority Nationalities in Xinjiang |
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| 摘 要： | 本文考虑一个包含两个部件和一个修复员系统的数学模型.首先指出此系统的主算子生成一个C0-半群T(t),并证明该C0-半群T(t)是拟紧算子,然后证明0是该主算子及其共轭算子的几何重数为1的特征值,最后将上述结果结合在一起推出该系统的时间依赖解强收敛于该系统的稳态解.
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| 关 键 词： | 两部件系统 拟紧算子 特征值 |
Asymptotic Behavior of the Solution of a Two-Unit Repairable System |
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| ALIM Mijit.Asymptotic Behavior of the Solution of a Two-Unit Repairable System[J].Journal of Anhui Normal University(Natural Science Edition),2017,40(1). |
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| Authors: | ALIM Mijit |
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| Abstract: | We study a system model consists of two units and one repairman.First we show that the operator corresponding to the system model generates a positive contraction C0-Semigroup T(t),and verify that T(t) is a quasi-compact operator.Next,we prove that 0 is an eigenvalue of the underlying operator and its adjoint operator with geometric multiplicity one.Lastly,from above results we obtain that the time-dependent solution of the system converges strongly to its steady state solution. |
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| Keywords: | two-unit system quasi-compact operator eigenvalue |
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