摘要
考虑一类四阶微分方程第二广义谱的估计,利用方程谱理论、分部积分、Rayleigh定理和Cauchy-Schwarz不等式等估计方法,获得了用第一个谱来估计第二个谱的上界不等式,且其估计系数与所论区间的几何度量无关。
Estimation of generalized second spectrum for a class of differential equation with fourth-order is considered in this paper.The inequality of the upper bound of second spectrum is estimated from the first spectrum by using spectrum theory of equation,integration by parts,Rayleigh theorem and Cauchy-Schwarz inequality estimation.The estimate coefficient is independent of the measure of the domain in which the problem is discussed.
出处
《三明学院学报》
2011年第5期13-16,共4页
Journal of Sanming University
关键词
微分方程
广义谱
上界
估计
differential equation
generalized spectrum
upper bound
estimation
