| 某类微分系统的谱估计 |
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| 引用本文： | 吴平. 某类微分系统的谱估计[J]. 商丘职业技术学院学报, 2013, 12(2): 1-5 |
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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（又称谱）的上界估计，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m个特征值来估计第m＋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，其结果在物理和力学等领域中应用广泛．
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| 关 键 词： | 某类微分系统 特征值（谱） 上界估计 |
Estimates for Spectrum of a Differential System |
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| WU Ping. Estimates for Spectrum of a Differential System[J]. Journal of Shangqiu Vocational and Technical College Journal of Shangqiu Vocational and Technical College Journal of Shangqiu Vocational and Technical College, 2013, 12(2): 1-5 |
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| Authors: | WU Ping |
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| Affiliation: | WU Ping (Department of Basic, Suzhou Vocational University, Suzhou 215004, China) |
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| Abstract: | This paper considers estimates for eigenvalnes（spectrum） 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（spectrum） weighted estimate |
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