混合微分系统带权第二特征值的上界  

Estimate of the Upper Bound of Second Eigenvalue with Weight for Mixed 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：《长春大学学报》2014年第10期1364-1369,1373,共7页Journal of Changchun University

基　　金：苏州市职业大学基金资助项目(2010SZDQ12)

摘　　要：考虑混合微分系统带权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。Considering the estimate of the upper bound of second eigenvalue for mixed differential system, this paper obtains the ine- quality of the upper bound of second eigenvalue from the first eigenvalue by using testing function, Rayleigh theorem, integration by parts and Schwartz inequality. The estimate coefficients do not depend on the measure of the domain. This kind of problem is significant both in theory of differential equations and in application to mechanics and physics.

关 键 词：混合微分系统 特征值 特征函数向量 上界 

分 类 号：O175.1[理学—数学]