具有易损坏储备部件可修系统谱的特性  

The Distribution of Spectrum with a Deteriorating Standby Unit

作　　者：李东[1] 金鑫[1] 张玉峰[1] 

机构地区：[1]延边大学理学院数学专业,吉林延吉133002

出　　处：《数学的实践与认识》2006年第8期281-287,共7页Mathematics in Practice and Theory

摘　　要：研究了R(r;A+E)的性质,给出了修复系统预解式的特性.对任意给定的δ>0,r=a+bi,-μ+δ<a1≤a≤a2,得到lim b→∞‖R(r;A+E)‖=0.进而得到在R er≥a1的右半平面内相应于系统算子A+E的谱点由有限个本征值组成.The Property of operator＇s resolvent with a Deteriorating Standby Unit is discussed. We randomly give δ〉0 and r = a ＋ bi, Let＇s fix a1 and a2, which is satisfying to -μ＋δ〈a1≤a≤a2, So, we get a conclusion is lim｜b｜→∞｜｜R（r;A＋E）｜｜=0. Consequently, we obtain that in the right place of Rer≥a1 is composed of the finite isolating eigenvalue correspending spectrum of operator （A ＋ E） system.

关 键 词：预解式 本征值 解析函数 

分 类 号：O231[理学—运筹学与控制论]