长春大学学报(自然科学版)Issue(5):1364-1369,1373,7.
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
摘要
Abstract
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 signifi-cant 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Key words
mixed differential system/eigenvalue/feature vector of function/upper bound分类
数理科学引用本文复制引用
卢亦平,钱椿林..混合微分系统带权第二特征值的上界[J].长春大学学报(自然科学版),2014,(5):1364-1369,1373,7.基金项目
苏州市职业大学基金资助项目(2010SZDQ12) (2010SZDQ12)