| 某类四阶微分系统特征值的带权估计 |
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| 引用本文： | 黄振明. 某类四阶微分系统特征值的带权估计[J]. 河南教育学院学报(自然科学版), 2006, 15(3): 7-10 |
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| 作者姓名： | 黄振明 |
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| 作者单位： | 苏州市职业大学,远程教育学院,江苏,苏州,215004 |
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| 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.
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| 关 键 词： | 微分系统 特征值 上界 估计 |
| 文章编号： | 1007-0834（2006）03-0007-04 |
| 收稿时间： | 2006-01-30 |
| 修稿时间： | 2006-01-30 |
Weighted Estimation of Eigenvalues for Differential System with Fourth- order |
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| HUANG Zhen-ming. Weighted Estimation of Eigenvalues for Differential System with Fourth- order[J]. Journal of Henan Education Institute(Natural Science Edition), 2006, 15(3): 7-10 |
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| Authors: | HUANG Zhen-ming |
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| Abstract: | 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. |
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| Keywords: | differential system eigenvalue upper bound estimation |
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