Semigroup method for a deteriorating system with multiple vacations of a repairman

被引：0
|
作者：
Muhtar, Muhtabar [1 ]
Haji, Abdukerim [1 ]
Rozi, Mahsut [1 ]
Hoshur, Abdulla [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
SEMIGROUP FORUM | 2021年 / 102卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Deteriorating system; C-0-semigroup; Dynamic solution; REPAIRABLE SYSTEM; STANDBY; MODEL;
D O I：
10.1007/s00233-020-10144-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By using the method of functional analysis, especially C-0-semigroup theory and spectral theory of linear operators we prove the well-posedness and the existence of a unique positive dynamic solution of a deteriorating system with multiple vacations of a repairman. Moreover, we show spectral properties of the system operator which imply that the system does not have a steady-state solution.
引用
收藏
页码：477 / 494
页数：18
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