两部件并联维修系统算子的性质  

Property of the Operator of a Parallel Maintenance System with Two Component

作　　者：李凤鹤[1] 张欣[2] 徐光甫[1] 

机构地区：[1]延边大学理学院数学系,吉林延吉133002 [2]北京化工大学北方学院基础部,河北三河065201

出　　处：《数学的实践与认识》2013年第7期161-169,共9页Mathematics in Practice and Theory

摘　　要：研究了两部件并联维修系统算子的性质,通过选取空间和定义算子将模型方程转化成了抽象柯西问题,证明了系统算子是定义域稠的预解正算子,0是系统算子的几何重数为1的本征值.讨论了系统算子的共轭算子及其定义域,证明了0是共轭算子的代数重数为1的特征值.The property of the operator of a parallel maintenance system with two com- ponent is studied. By transfering the model into an abstract Cauchy problem. Then, we prove the Operator is a densely defined resolvent positive operator. And we figure out the eigenvalue of the operator. Moreover, the paper figure out the adjoint operator of the system operator, and the eigenvalue and eigenvector of the adjoint operator.

关 键 词：维修系统 预解正算子 共轭算子 特征值 几何重数 

分 类 号：O177[理学—数学] O213.2[理学—基础数学]