| 某类微分系统特征值的带权估计 |
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| 引用本文： | 吴平. 某类微分系统特征值的带权估计[J]. 荆门职业技术学院学报, 2007, 22(3): 72-77 |
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| 作者姓名： | 吴平 |
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| 作者单位： | 苏州职业大学远程教育学院 江苏苏州215004 |
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| 摘 要： | 文章考虑某类微分系统特征值的带权估计,利用分部积分、Rayleigh定理和不等式估计等方法和技巧,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,其估计系数与区域的几何度无关,其结果可以在物理和力学等领域中广泛应用。
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| 关 键 词： | 微分系统 特征值 特征值向量 带权估计 |
| 文章编号： | 1008-4657（2007）03-0072-06 |
| 收稿时间： | 2006-06-26 |
| 修稿时间： | 2006-06-26 |
Weighted Estimates for Eigenvalues of a Differential System |
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| WU Ping. Weighted Estimates for Eigenvalues of a Differential System[J]. Journal of Jingmen Vocational Technical College, 2007, 22(3): 72-77 |
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| Authors: | WU Ping |
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| Abstract: | This paper considers weighted estimates for eigenvalues of a differential system.The inequality of the upper bound of the(n 1)th eigenvalue is estimated from the first n eigenvalues by using integral,Reyleigh theorem and inequality estimation.The estimate coefficients do not depend on the measure of the domain in which the problem is concerned.The result is widely used in physics and mechanics. |
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| Keywords: | a differential system eigenvalue eigenvalue vector weighted estimate |
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