某类正则微分系统谱的带权估计  

Weighted Estimation of Spectra for Some Kind Regular Differential System

作　　者：黄振明[1] 

机构地区：[1]苏州市职业大学基础部,江苏苏州215104

出　　处：《红河学院学报》2012年第4期11-15,共5页Journal of Honghe University

摘　　要：考虑某类正则微分系统谱的带权估计,利用矩阵运算、分部积分、Rayleigh定理和不等式估计等方法,获得了用前n个谱来估计第n+1个谱的上界的不等式,其估计系数与区间的几何度量无关,其结果是文[1]的进一步推广.This paper considers weighted estimation of spectra for some kincl differential regular system. The inequality of the upper bound of the （n＋l）th spectrum is estimated from the former n spectra by using matrix operation, integration by parts, 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 in [1] is the corollary to the theorems in this paper.

关 键 词：正则微分系统 谱 不等式 带权估计 

分 类 号：O175.1[理学—数学]