修理工具有单重休假的两不同型部件冷贮备退化可修系统适定性

布吐逊·卡地尔, 阿不都克热木·阿吉

系统科学与数学 ›› 2020, Vol. 40 ›› Issue (11) : 2172-2210.

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系统科学与数学 ›› 2020, Vol. 40 ›› Issue (11) : 2172-2210. DOI: 10.12341/jssms14027
论文

修理工具有单重休假的两不同型部件冷贮备退化可修系统适定性

    布吐逊·卡地尔, 阿不都克热木·阿吉
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Well-Posedness of a Cold Standby Repairable Deteriorating System Consisting of Two Dissimilar Units with Single Vacation of a Repairman

    BUTURSUN Kader, ABDUKERIM Haji
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摘要

文章研究修理工具有单重休假的两不同型部件冷贮备可修退化系统, 该系统用带有边界条件的无穷多个微积分方程表示. 运用泛函分析的方法, 特别是, 运用 C0- 半群理论证明该系统的适定性和非负动态解的存在唯一性.

Abstract

In this paper, we study a cold standby repairable deteriorating system consisting of two dissimilar units with single vacation of a repairman described by infinitely many integro-differential equations with integral boundary conditions. Using the method of functional analysis, in especial, C0-semigroup theory for linear operators, we prove the well-posedness and the existence of a unique positive dynamic solution of the system.

关键词

退化系统 / C0- 半群理论 / 适定性 / 动态解.

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布吐逊·卡地尔 , 阿不都克热木·阿吉. 修理工具有单重休假的两不同型部件冷贮备退化可修系统适定性. 系统科学与数学, 2020, 40(11): 2172-2210. https://doi.org/10.12341/jssms14027
BUTURSUN Kader , ABDUKERIM Haji. Well-Posedness of a Cold Standby Repairable Deteriorating System Consisting of Two Dissimilar Units with Single Vacation of a Repairman. Journal of Systems Science and Mathematical Sciences, 2020, 40(11): 2172-2210 https://doi.org/10.12341/jssms14027
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