正则微分系统带权第二特征值的上界  

Estimate of the Upper Bound of Second Eigenvalue with Weight for Canonical System with Six Orders

作　　者：陈卫忠[1] 钱椿林[1] 

机构地区：[1]苏州市职业大学基础部,江苏苏州215104

出　　处：《常熟理工学院学报》2010年第10期38-42,共5页Journal of Changshu Institute of Technology

基　　金：苏州市职业大学基金项目(2010SZDQ12)资助

摘　　要：考虑正则微分系统带权第二特征值的上界估计.利用试验函数、Rayleigh定理、分部积分和Schwartz不等式等估计方法与技巧,获得了用第一特征值来估计第二特征值上界的不等式,估计系数与区间的度量无关.This paper considers the estimate of the upper bound of second eigenvalue for canonical differential system. The upper of second eigenvalue is dependent on the first eigenvalue by using integral,Rayleigh theorem and inequality estimation. The estimate coefficients do not depend on the measure of the domain in which the problem is concerned. This kind of problem is significant both in the theory of differential equations and in the application to mechanics and physics.

关 键 词：正则微分系统 特征值 特征向量 上界 

分 类 号：O175.1[理学—数学]