多状态燃气电力可修系统主算子的性质  

The Properties of Main Operator of the Multi-state Gas Turbine Power Repairable System

作　　者：唐慧 杨翔宇 TANG Hui;YANG Xiang-yu(College of Mathematics,Changchun Normal University,Changchun 130032,China)

机构地区：[1]长春师范大学数学学院,吉林长春130032

出　　处：《长春师范大学学报》2022年第4期1-6,共6页Journal of Changchun Normal University

基　　金：国家自然科学基金项目“Cahn-Hilliard/Allen-Cahn方程的若干问题”(11701042);吉林省教育厅“十三五”科学技术项目“Cahn-Hilliard/Allen-Cahn方程周期及数值问题的研究”(JJKH20190501KJ)。

摘　　要：研究了基于马尔可夫过程的燃气电力可修系统的主算子性质问题,利用预解正算子理论,证明了系统主算子为稠定的预解正算子,并对系统主算子的谱上界进行了估值,然后给出了系统主算子的共轭算子,并利用共尾和C_(0)半群理论证得系统主算子的谱上界与系统主算子生成半群的增长界相等.This paper studies the properties of main operator of the gas turbine power repairable system based on the Markov processes.It proves the main operator of the system is a dense resolvent positive operator by the resolvent positive operator theory.And the upper spectral bound of the main operator is estimated.Then the adjoint operator of the main operator of the system is obtained.By the cofinal and C_(0)-semigroups theory,it proves that the upper spectral bound of the main operator is equal to the growth bound of the semigroup generated by its main operator.

关 键 词：C_(0)半群 共尾 共轭算子 谱上界 可修系统 

分 类 号：O177[理学—数学]