一个供应链系统的可靠性模型的解的渐近性质  

Asymptotic Property of the Solution of the Reliability Model for the Supply Chain

作　　者：邢喜民[1] 王秀玲[2] 

机构地区：[1]新疆维吾尔自治区地震局,乌鲁木齐830011 [2]宿迁高等师范学校数学系,江苏宿迁223800

出　　处：《江南大学学报（自然科学版）》2012年第1期108-112,共5页Joural of Jiangnan University (Natural Science Edition)　

摘　　要：运用C0-半群理论来研究一个供应链系统可靠性模型当μi(x)=μi时的解的渐近性质。首先证明在虚轴上除了0之外其他所有点都属于该算子的豫解集,其次证明0是对于该系统的主算子及其共轭算子的几何重数和代数重数为1的特征值,由此推出该系统的时间依赖解当时间趋向于无穷时强收敛于系统的稳态解。We study asymptotic property of the solution of the reliability model for the supply chain by using C0-semigroup theory.Firstly we prove that all points on the imaginary axis except for zero belong to the resolvent set of the operator corresponding to the model.Secondly we prove that 0 is an eigenvalue of the operator and its adjoint operator with geometric multiplicity and algebraic multiplicity.By using the above results we obtain that the time-dependent solution of the model strongly converges to the steady-state solution of the model.

关 键 词：渐近性质 共轭算子 豫解集 特征值 

分 类 号：O177.2[理学—数学]