具有共因故障和不完全检测的多部件可修复系统非负时间依赖解的存在唯一性  

Existence and Uniqueness of Non-negative Time Dependent Solutions for Multi-unit Repairable Systems with Common Cause Failures and Imperfect Detection

作　　者：闫妍 赵志欣 YAN Yan;ZHAO Zhi-xin(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8期12-16,共5页Journal of Changchun Normal University

摘　　要：将具有共因故障和不完全检测的多部件可修复系统模型转化为Banach空间中的抽象Cauchy问题,得到了系统算子的闭稠定性和耗散性.再利用线性算子半群理论,证明了具有共因故障和不完全检测的多部件可修复系统存在唯一的非负时间依赖解.A multi-unit repairable system model with common cause failures and imperfect detection is transformed into an abstract Cauchy problem in Banach space.And it obtains the closed dense and dissipative properties of system operators.By using the linear operator semigroup theory,it proves there exists a unique non-negative time dependent solution for a multi-unit repairable system with common cause failures and imperfect detection.

关 键 词：可修复系统 C_(0)半群理论 耗散 

分 类 号：O177[理学—数学]