某类系统的离散谱估计  

Estimates for Discrete Spectrum of a Certain System

作　　者：钱椿林[1] 蒋麟[1] 

机构地区：[1]苏州市广播电视大学,江苏苏州215004

出　　处：《江苏广播电视大学学报》2000年第4期1-3,共3页Journal of Jiangsu Radio & Television University

摘　　要：考虑某类系统的离散谱估计 ,利用分部积分、Rayleigh定理和不等式估计等方法与技巧 ,获得了用前n个特征值来估计第n +1个特征值的上界的不等式 ,其估计系数与区域的几何度量无关 。This paper describes the estimates for discrete spectrum of a certain system. The inequality of the upper bound of the (n+1) th eigenvalue is estimated from the first n eigenvalues 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. The result is widely used in physics and mechanics.

关 键 词：某类系统 特征值 特征向量 上界 估计 

分 类 号：O158[理学—数学] O151.21[理学—基础数学]