| 一类偏微分系统谱的上界估计 |
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| 引用本文： | 吴平.一类偏微分系统谱的上界估计[J].宁波职业技术学院学报,2014(1):94-97. |
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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215004 |
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| 摘 要： | 考虑一类偏微分系统谱（又称特征值）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： | 一类偏微分系统 谱（特征值） 上界 估计 |
Estimates of Upper Bound For Spectrum of a Partial Differential System |
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| WU Ping.Estimates of Upper Bound For Spectrum of a Partial Differential System[J].Journal of Ningbo Polytechnic,2014(1):94-97. |
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| Authors: | WU Ping |
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| Institution: | WU Ping (Suzhou Vocational University, Suzhou 215004, China) |
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| Abstract: | This paper considers estimates for discrete spectrum of a parcial 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 partial differential system spectrum upper bound estimate |
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