摘要
考虑某类高阶偏微分系统离散谱的估计,利用谱理论、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个谱来估计第n+1个谱的上界的不等式,且其估计系数与区域的几何度量无关,其结论是文献[4-5]的进一步推广.
This paper discusses the estimation of discrete spectra for a certain partial differential system. The inequality of the upper bound of the （n ＋ 1 ） th spectrum is estimated from the former n spectra by using spectrum theory, matrix operation, integration by parts, trial function, Rayleigh theorem and inequality estimation. The estimate coefficients do not depend on the measure of the domain in which the problem is concemed. The results in[4 -5] are all corollaries of the theorems in this paper.
出处
《黄石理工学院学报》
2011年第4期43-46,共4页
Journal of Huangshi Institute of Technology
关键词
偏微分系统
谱
特征函数
partial differential system
spectrum
eigenfunction
