| 某类任意阶微分方程广义第二特征值的上界估计 |
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| 引用本文： | 胡志坚,钱椿林.某类任意阶微分方程广义第二特征值的上界估计[J].苏州市职业大学学报,2006,17(1):72-75. |
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| 作者姓名： | 胡志坚 钱椿林 |
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| 作者单位： | 苏州市职业大学,远程教育学院,江苏,苏州,215004 |
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| 摘 要： | 考虑了一类任意阶微分方程广义第二特征值的上界估计,获得了用第一特征值来估计第二特征值的上界的不等式,其估计系数与区间的度量无关．其结果在物理学和力学中有着广泛的应用,在微分方程的研究中起着重要的作用．
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| 关 键 词： | 任意阶微分方程 特征值 特征函数 上界 估计 |
| 文章编号： | 1008-5475（2006）01-0072-04 |
| 收稿时间： | 2005-11-08 |
| 修稿时间： | 2005年11月8日 |
Estimate of the upper bound of generalized second eigenvalue for the differential equation with any order |
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| HU Zhi-jian,QIAN Chun-lin.Estimate of the upper bound of generalized second eigenvalue for the differential equation with any order[J].Journal of Suzhou Vocational University,2006,17(1):72-75. |
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| Authors: | HU Zhi-jian QIAN Chun-lin |
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| Abstract: | This paper considers the estimate of the upper bound of generalized second eigenvalue for the differential equation with any order.The upper of second eigenvalue is dependent on the first eigenvalue,and being independ- ent on the measure of the domain in which the problem is concerned.This kind of problem is significant both in the- ory of differential equations and in application to mechanics and physics. |
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| Keywords: | differential equation with any order eigenvalue eigenfunction upper bound estimate |
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