n级混合微分系统第二特征值的上界不等式  

Inequality of the Upper Bound of Second Eigenvalue for the n-stage Mixed Differential System

作　　者：卢亦平[1] 钱椿林[1] LU Yiping;QIAN Chunlin(Department of Mathematics and Physics,Suzhou Vocational University,Suzhou 215104,China)

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》2018年第3期52-56,共5页Journal of Suzhou Vocational University

基　　金：苏州市职业大学青年基金资助项目(2010SZDQ12)

摘　　要：考虑n级混合微分系统第二特征值的上界估计。利用试验函数、分部积分和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。其结果在常微分方程的研究和应用中起着重要的作用。This paper considers the inequality of the upper bound of second eigenvalue for the n-stage mixed differential system.The upper of second eigenvalue is dependent on the first eigenvalue by using integral and inequality estimation.The estimate 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.

关 键 词：n级混合微分系统 特征值 特征函数向量 上界 

分 类 号：O175[理学—数学]