一类偏微分系统特征值的带权估计  

Weighted Estimate of Eigenvalues for a Class of Partial 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：《海南师范大学学报（自然科学版）》2013年第1期9-12,18,共5页Journal of Hainan Normal University（Natural Science）

摘　　要：考虑一类偏微分系统特征值的带权估计,利用矩阵运算、分部积分、测试函数、Ray-leigh定理和不等式估计等方法,获得了用前n个特征值来估计第n+1个特征值上界的不等式,且其估计系数与区域的几何度量无关,其结论是文献[9]和[10]的进一步推广.In this paper, weighted estimate of eigenvalues for a class of partial differential system is considered. The in- equality of the upper bound of the （n＋ 1）th eigenvalue is estimated from the former n eigenvalues by using matrix opera- tion, integration by parts, trial function, Rayleigh theorem and inequality estimate etc. The estimate coefficients do not depend on the measure of the domain in which the problem is concerned. The results in [9-10] are all corollaries of the theorems in this paper.

关 键 词：偏微分系统 特征值 特征函数 带权估计 

分 类 号：O175.4[理学—数学]