一类可修复系统的解的存在唯一性

Existence and Uniqueness of the Solution of a Repairable System

对于一类具有人为故障率,修复率时间任意分布的可修复系统的数学模型,利用泛函理论将此系统转换为Banach空间下的第二型Volterra微分-积分方程,利用泛函分析初等方法得到系统解的存在唯一性证明,并同时得到系统解的形式。

A mathematical model of a repairable system with constant human error,common-cause failure rates and system repair times arbitrary discussed. In the paper,by using elementary methods of functional analysis the existence and uniqueness of the solution of the repairable system is obtained.