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研究了两相同部件冷贮备可修系统算子性质,此系统由2个同型部件及一个修理设备构成.其中一个部件工作,另一个部件冷储备.运用C_0半群的理论,证明了系统算子是稠定的预解正算子,得出了系统算子的共轭算子及其定义域,并证明了系统算子的增长界为0.最后运用了预解正算子中共尾的概念及相关理论,证明了系统算子的谱上界也是0.
The properties of cold storage and repairable system operators for two identical components are studied. The system consists of two homogenous components and one repair device, one of which is working and the other is cold standby. By using the theory of C_0 semigroups, it is proved that the system operator Is a thick preconsolidated operator, the conjugate operator of the system operator and its domain are obtained, and the growth of the system operator is proved to be 0. Finally, the concept of co-preconditioner And related theories, it is proved that the upper bound of the operator of the system is also zero.