有两种修复方法的复杂可修复系统解的渐近稳定性  

The Asymptotic Stability of the Solution of a Complex Repairable System with Two Types of Repair Facilities

作　　者：赵玉荣[1] 乔兴[2] 金雪梅[3] 

机构地区：[1]牡丹江师范学院数学系,黑龙江牡丹江157012 [2]大庆师范学院数学系,黑龙江大庆163712 [3]延边大学理学院数学系,吉林延吉133002

出　　处：《数学的实践与认识》2008年第22期154-163,共10页Mathematics in Practice and Theory

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.

关 键 词：正压缩c0半群 预解式 渐近稳定性 

分 类 号：O213.2[理学—概率论与数理统计]