混合正则微分系统第二特征值的上界不等式  

Inequality of the Upper Bound of Second Eigenvalue for Mixed Canonical Differential System

作　　者：卢亦平[1] 钱椿林[1] 

机构地区：[1]苏州市职业大学数理部,江苏苏州215104

出　　处：《苏州市职业大学学报》2015年第1期34-40,共7页Journal of Suzhou Vocational University

基　　金：苏州市职业大学青年教师基金资助项目(2010SZDQ12)

摘　　要：考虑混合正则微分系统第二特征值的上界估计.利用试验函数、Rayleigh定理、分部积分和Schwartz不等式等估计方法,获得了用第一特征值来估计第二特征值的上界的不等式,其估计系数与区间的度量无关.其结果在物理学和力学中有着广泛的应用,在常微分方程的研究中起着重要的作用.This paper considers the estimate of the upper bound of second eigenvalue for mixed canonical differential system. The inequality of the upper of second eigenvalue is estimated based on the first eigenvalue with the help of the integral,rayleigh theorem and inequality estimation. The estimated coefficients are not linked to the measure of the domain in which the problem is concerned. This kind of problem is significant both in theory of differential equations and in application to mechanics and physics.

关 键 词：混合正则微分系统 特征值 特征函数向量 上界 

分 类 号：O175.9[理学—数学]