六阶常微分方程广义第二特征值的上界估计  

Estimation of the upper bound of generalized second eigenvalue for the differential equation with six orders

作　　者：赵晓苏[1] 钱椿林[1] 

机构地区：[1]苏州市职业大学基础部,江苏苏州215104

出　　处：《长春大学学报》2009年第6期52-54,59,共4页Journal of Changchun University

基　　金：苏州市职业大学基金资助项目(SZD07W61)

摘　　要：考虑六阶常微分方程广义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不等式等估计方法与技巧,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。The paper presents the estimation of the upper bound of generalized second eigenvalue for the differential equation with six orders. The upper of second eigenvalue is dependent on the first eigenvalue based on integral, Rayleigh theorem and inequality estimation. The estimation coefficients do not depend on 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, which plays an important role in the research of ordinary differential equation.

关 键 词：六阶微分方程 特征值 特征函数 上界 估计 

分 类 号：O175.1[理学—数学]