摘要
考虑六阶微分方程第二广义谱的含权上界估计,利用算子谱理论、分部积分、测试函数、广义Rayleigh定理和不等式估计等方法,获得了用第一个谱来估计第二个谱的上界的不等式,其估计系数与区间的几何度量无关,其结论是文献[1～3]的进一步推广.
This paper presents the weighted estimates of generalized second spectrum＇ s upper bound for differential equation with sixth - order. The inequality of the upper bound of second spectrum is estimated from the first spec- trum by using spectrum theory of operators, integration by parts, trial function, generalized Rayleigh theorem and inequality estimation. The estimate coefficients are irrelevant to the geometric measure of the domain. The results in [ 1-3 ] are extended in this paper.
出处
《嘉应学院学报》
2012年第11期10-13,共4页
Journal of Jiaying University
关键词
微分方程
广义谱
特征函数
Schwartz不等式
上界估计
differential equation
generalized spectrum
eigenfunction
Schwartz inequality
upper bound estimates
