| 一类偏微分系统谱的上界估计 |
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| 引用本文： | 黄振明.一类偏微分系统谱的上界估计[J].新乡学院学报(自然科学版),2011(2):104-107. |
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| 作者姓名： | 黄振明 |
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| 作者单位： | 苏州市职业大学基础部 |
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| 摘 要： | 考虑一类偏微分系统谱的上界估计,利用微分系统谱的基本理论、分部积分、测试函数、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,其估计值与所论区域的几何度量无关,其结果在物理学和力学等领域内有一定的应用价值。
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| 关 键 词： | 微分系统 谱 上界 估计 |
Estimation of Spectra’ Upper Bound for a Class of Partial Differential System |
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| Authors: | HUANG Zhen-ming |
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| Institution: | HUANG Zhen-ming(Department of Basic Courses,Suzhou Vocational University,Suzhou 215104,China) |
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| Abstract: | In this paper,estimate of spectra＇s upper bound for a class of partial differential system is considered.The inequality of the upper bound of the spectrum is obtained from the former spectra by using the basic theory including the spectrum of differential system,integration by parts,trial function,Rayleigh theorem and Schwartz inequality etc.The estimated value is irrelevant to the geometric measure of the domain.The results have potential application in the fields of physics and mechanics. |
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| Keywords: | differential system spectrum upper bound estimation |
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