摘要
考虑四阶微分系统特征值的带权估计,利用矩阵运算、分部积分、Rayleigh定理和不等式估计等方法,获得了用前n个特征值来估计第n+1个特征值的上界的不等式,其估计系数与区间的几何度量无关,其结果是文献[1]的进一步推广.
This paper considers weighted estimation of eigenvalue for differential system with fourth-order. The inequality of the upper bound of the （ n ＋ 1 ）th eigenvalue is estimated from the first n eigenvalues by using matrix operation, integral, Rayleigh theorem and inequality estimation. The estimate coefficients do not depend on the measure of the domain in which the problem is concerned. The result in document[1] is the corollary to the theorems in this paper.
出处
《河南教育学院学报（自然科学版）》
2006年第3期7-10,共4页
Journal of Henan Institute of Education(Natural Science Edition)
关键词
微分系统
特征值
上界
估计
differential system
eigenvalue
upper bound
estimation
