| 某类微分算子谱的带权估计 |
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| 引用本文： | 黄振明. 某类微分算子谱的带权估计[J]. 常熟理工学院学报, 2006, 20(4): 33-36 |
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| 作者姓名： | 黄振明 |
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| 作者单位： | 苏州市广播电视大学,江苏,苏州,215004 |
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| 基金项目： | 苏州职业大学校科研和教改项目 |
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| 摘 要： | 考虑一类微分算子谱的带权上界估计,利用分部积分、Rayleigh定理和Schwartz不等式等方法,获得了用前n个谱来估计第n 1个谱的上界的不等式,其估计系数与区间的几何度量无关,其结果包含了[2]和[3]的结论。
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| 关 键 词： | 微分算子 谱 上界 估计 |
| 文章编号： | 1008-2794（2006）04-0033-04 |
| 收稿时间： | 2006-05-25 |
| 修稿时间： | 2006-05-25 |
Estimations of Eigenvalues'''' Upper Bound for Some Differential Operator |
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| HUANG Zhen-ming. Estimations of Eigenvalues'''' Upper Bound for Some Differential Operator[J]. Journal of Changshu Institute of Technology, 2006, 20(4): 33-36 |
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| Authors: | HUANG Zhen-ming |
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| Affiliation: | Suzhou Radio and Television University, Suzhou 215004,, China |
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| Abstract: | The paper concerned with the estimates of eigenvalue's upper bound for some differential operator.The inequality of the upper bound of the(n 1)th eigenvalue is estimated from the first n eigenvalues by using Partial integral,Rayleigh theorem and inequality estimation.The estimate coefficients do not depend on the geometric measure of the domain with which the problem is concerned.The results in [2] and [3] are corollaries of the theorems in this paper. |
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| Keywords: | differential operator eigenvalue upper bound estimation |
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