具有易损坏储备部件可修复系统解的存在唯一性

The existence and uniqueness of the solution of a repairable system with a deteriorating standby unit

讨论了由1个工作部件和1个储备部件组成的在常规故障条件下具有易损坏储备部件可修复系统的非负解的存在性和唯一性,并利用算子半群理论讨论了系统非负时间依赖解的存在唯一性.

We discuss the existence and uniqueness of non-negative solution of the repairable system which is made up of one work unit and one standby unit in conventional fault conditions with a deteriorating standby unit, and the existence and uniqueness of non-negative time-dependent solution of the system is given by using the theory of operator semi-group.