| 六阶常微分方程的特征值的上界估计 |
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| 引用本文： | 黄振明.六阶常微分方程的特征值的上界估计[J].江苏广播电视大学学报,2005,16(3):68-70,73. |
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| 作者姓名： | 黄振明 |
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| 作者单位： | 苏州市广播电视大学,江苏,苏州,215004 |
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| 摘 要： | 考虑六阶常微分方程的特征值的上界估计，利用分部积分、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，其结果在物理学和力学等领域中应用广泛。
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| 关 键 词： | 六阶常微分方程 特征值 上界 估计 |
| 文章编号： | 1008-4207(2005)03-0068-03 |
Estimates of Eigenvalues' Upper Bound for Ordinary Differential Equation with 6th Order |
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| HUANG Zhen-ming.Estimates of Eigenvalues'''' Upper Bound for Ordinary Differential Equation with 6th Order[J].Journal of Jiangsu Radio & Television University,2005,16(3):68-70,73. |
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| Authors: | HUANG Zhen-ming |
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| Abstract: | This paper considers the estimates of eigenvalue's upper bound for ordinary differential equation with 6th order. The inequality of the upper bound of the (n+1)th eigenvalue is estimated from the first n eigenvalues by using 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 has a wide application both in physics and mechanics. |
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| Keywords: | differential equation with 6th order eigenvalue upper bound estimation |
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