两不同部件并联可修系统的本征值分布  

The Distribution of Eigenvalue of a Parallel Repairable System with Two No-indentical Unit

作　　者：金鑫[1] 李东[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10期179-184,共6页Mathematics in Practice and Theory

摘　　要：给出两不同部件并联可修系统算子预解式特性,对任意给定的δ>0,r=a+bi,固定a1,a2(-μ+δ<a1≤a≤a2),给出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的谱点由有限个孤立特征值组成.The property of perator＇s resolvent of a parallel repairable system with two no- indentical unit is discussed. We randomly give δ 〉 0 and r = a ＋ bi, let＇s fix at and az, Which is satisfying to - μ＋δ〈a1≤a≤a2, so we get a conclusion is lim lim｜b｜→∞‖R（r：A＋E）‖=0. Consequntly, we obtain that in the right place of r ≥ a1 is composed of the finite isolatingeigenvalue corresponding spectrum of operators A ＋ E system.

关 键 词：本征值 解析函数 预解式 

分 类 号：O213.2[理学—概率论与数理统计]