具有两个状态的可修复系统的拟紧性和不可约性

摘要

In this paper, by using the boundary perturbation of the generator, the sufficient conditions for the quasi-compactness and irreducibility of the semigroups on Banach lattice were given.Then apply these suf-ficient conditions to study the quasi-compactness and irreducibility of a repairable system with two states.%利用算子半群生成元的边界扰动方法，给出了Banach格上C0半群的拟紧性和不可约性的充分条件。并利用本文结果对具有两个状态的可修复系统的拟紧性和不可约性进行了研究。