摘要
讨论了两种修复方法的系统解的渐近稳定性.证明了系统在Banach空间中生成正压缩c0半群,系统的非负稳定解恰是系统算子0本征值对应的本征向量,系统算子的谱点均位于复平面的左半平面且在虚轴上除0外无谱.
This paper presents the asymptotic stability of the solution of a repairable system with two types of repair facilities. We show that the system operator generates a positive cD-semigroup in the state Banach space. Further, we prove that the system has a steadystate nonnegative solution which is just the eigenvector of the system operator corresponding to cigenvalue 0, and 0 is the unique spectral point of the system on the imaginary axis.
出处
《数学的实践与认识》
CSCD
北大核心
2008年第22期154-163,共10页
Mathematics in Practice and Theory
