| 一类微分系统特征值的带权估计 |
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| 引用本文： | 吴平.一类微分系统特征值的带权估计[J].宁波职业技术学院学报,2011,15(2). |
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| 作者姓名： | 吴平 |
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| 作者单位： | 苏州职业大学基础部,江苏,苏州,215000 |
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| 摘 要： | 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个特征值的上界不等式,其估计系数与区域的几何度无关,其结果在物理和力学等领域中应用广泛。
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| 关 键 词： | 一类微分系统 特征值 带权估计 |
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 Ningbo Polytechnic,2011,15(2). |
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| Authors: | WU Ping |
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| Institution: | WU Ping(Suzhou Vocational University,Suzhou 215000,China) |
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| Abstract: | The weighted estimates for eigenvalues of a differential system is considered.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 weighted estimate |
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