一类微分系统广义第二谱的带权估计  

Weighted Estimation of Generalized Second Spectrum for a Kind of 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：《洛阳理工学院学报（自然科学版）》2012年第1期76-81,共6页Journal of Luoyang Institute of Science and Technology：Natural Science Edition

摘　　要：考虑一类微分系统广义第二谱的带权估计,利用算子的谱理论、矩阵运算、分部积分、广义R ayleigh定理和S chwartz不等式等方法,获得了用第一谱来估计第二谱上界的不等式,其估计系数与区间的度量无关,其结果在微分方程的谱估计研究中起着重要的作用。In this paper,weighted estimation of generalized second spectrum for a kind of differential system is considered.The inequality of the upper bound of second spectrum is estimated from the first spectrum by using spectrum theory of operator,matrix operation,integration by parts,generalized Rayleigh theorem and Schwartz inequality etc.The estimate coefficients are independent to the measure of the domain in which the problem is concerned.The result is significant in the research field of spectrum estimation of differential equations.

关 键 词：微分系统 广义谱 特征向量 带权估计 

分 类 号：O175.1[理学—数学]