修理工延误休假的退化系统的动态解的存在唯一性

阿卜杜拉·吾舒尔,阿不都克热木·阿吉

系统科学与数学 ›› 2020, Vol. 40 ›› Issue (12) : 2474-2492.

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系统科学与数学 ›› 2020, Vol. 40 ›› Issue (12) : 2474-2492. DOI: 10.12341/jssms14069
论文

修理工延误休假的退化系统的动态解的存在唯一性

    阿卜杜拉·吾舒尔,阿不都克热木·阿吉
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Existence and Uniqueness of the Dynamic Solution of a Deteriorating System with Delayed Vacation of a Repairman

    Abdulla Hoshur, Abdukerim Haji
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摘要

研究一类用无穷多个微分方程来描述的修理工延误休假的退化系统. 运用\;C0-半群理论与算子理论证明该系统的适定性和动态解的存在唯一性.} \Keywords{退化系统, C0-半群, 适定性, 动态解.

Abstract

We investigate a deteriorating system with delayed vacation of a repairman, which is described by infinitely many partial differential equations. By using C0-semigroup theory and operator theory for linear operators we prove that the system is well-posed and the system has a unique positive dynamic solution.

关键词

退化系统 / C0-半群 / 适定性 / 动态解.

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阿卜杜拉·吾舒尔 , 阿不都克热木·阿吉. 修理工延误休假的退化系统的动态解的存在唯一性. 系统科学与数学, 2020, 40(12): 2474-2492. https://doi.org/10.12341/jssms14069
Abdulla Hoshur , Abdukerim Haji. Existence and Uniqueness of the Dynamic Solution of a Deteriorating System with Delayed Vacation of a Repairman. Journal of Systems Science and Mathematical Sciences, 2020, 40(12): 2474-2492 https://doi.org/10.12341/jssms14069
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