| 一类5阶常微分方程特征值的估计 |
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| 引用本文： | 吴平.一类5阶常微分方程特征值的估计[J].商丘职业技术学院学报,2014(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215004 |
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| 摘 要： | 考虑一类常微分方程的特征值的估计，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： | 一类5阶常微分方程 特征值 估计 |
Estimates for Eigenvalues for a five Order Differential Equation |
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| WU Ping.Estimates for Eigenvalues for a five Order Differential Equation[J].Journal of Shangqiu Vocational and Technical College,2014(2):1-5. |
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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: | This paper considers the estimates for eigenvalues of a differential equation .We construct some test function and then use the Rayleigh theorem to obtain a basic inequality .These estimates are that the （n＋1）th eigenvalues is bounded from above by an amount depending on the first n eigenvalues and being independent of the measure of the domain in which the problem is concerned .This kind of problem is significant is potential application to mechanics and physics . |
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| Keywords: | a differential equation eigenvalue weighed estimates |
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