具有易损坏储备部件可修复系统主算子谱特征分析

Spectral Properties Analysis of the Main Operator of a Repairable System with a Deteriorating Standby Unit

运用泛函分析中共轭空间的相关定理和相关理论以及算子半群中的相关理论,研究了在常规条件下具有易损坏储备部件可修复系统主算子所对应的特征向量的几何重数、代数重数的特征,进而描述了在常规条件下具有易损坏储备部件可修复系统主算子的谱特征。

By using functional method, some double spaces relative theories and operator semigroup relative theories, the author studied spectral properties of the main operator corresponding to a repairable system with a deteriorating standby unit under common -cause failure in this paper.