摘要
考虑某类系统离散谱的上界估计,利用分部积分、Rayleigh定理和不等式估计等方法和技巧,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无关,其结果在物理和力学等领域中应用广泛。
The inequality of the upper bound of the (n+1) th eigenvalue is estimated from the first n eigenvalues by using integral, Reyleigh theorem and inequality estimation. The estimate coefficients do not depend on the measure of the domain in which the problem is concerned. The result can be widely used in physics and mechanics
出处
《宁波职业技术学院学报》
2008年第2期11-14,共4页
Journal of Ningbo Polytechnic
关键词
某类系统
离散谱
上界
估计
a system
discrete spectrum
upper bound
estimate