修理工可单重休假的带有一个冷贮备部件的Gaver并联系统的时间依赖解的渐进行为  

Asymptotic Behavior of the Time-Dependent Solution of the Gaver’s Parallel System Sustained by a Cold Standby Unit and Attended by a Repairman with a Single Vacation

作　　者：阿卜杜拉·吾舒尔 阿不都克热木·阿吉[1] Abdulla Hoshur;Abdukerim Haji(College of Mathematics and Systems Science,Xinjiang University,Urumqi 830046,China)

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《数学的实践与认识》2021年第7期98-109,共12页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11361057,11761066)。

摘　　要：研究修理工可单重休假的带有一个冷贮备部件的Gaver并联系统的时间依赖解.运用C_(0)-半群理论与算子理论研究该模型相应算子的谱的特征,获得了该系统的时间依赖解强收敛于该系统的稳态解.We investigate a Gaver’s parallel system sustained by a cold standby unit and attended by a repairman with a single vacation.By using Co-semigroup theory and operator theory we study the spectral properties of the underlying operator corresponding to the system model and obtain that the time-dependent solution of the model strongly converges to its steady-state solution.

关 键 词：C_(0)-半群 特征值 豫解集 稳态解 时间依赖解 

分 类 号：O213.2[理学—概率论与数理统计]