| 某类高阶偏微分系统离散谱的估计 |
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| 引用本文： | 黄振明.某类高阶偏微分系统离散谱的估计[J].黄石理工学院学报,2011(4):43-46. |
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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： | 考虑某类高阶偏微分系统离散谱的估计，利用谱理论、矩阵运算、分部积分、测试函数、Ray—leigh定理和不等式估计等方法，获得了用前n个谱来估计第n＋1个谱的上界的不等式，且其估计系数与区域的几何度量无关，其结论是文献4—5]的进一步推广．
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| 关 键 词： | 偏微分系统 谱 特征函数 |
Estimation of Discrete Spectra for a Certain Partial Differential System |
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| HUANG Zhenming.Estimation of Discrete Spectra for a Certain Partial Differential System[J].Journal of Huangshi Institute of Technology,2011(4):43-46. |
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| Authors: | HUANG Zhenming |
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| Institution: | HUANG Zhenming(Department of Basic Courses,Suzhou Vocational University,Suzhou Jiangsu 215104) |
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| Abstract: | This paper discusses the estimation of discrete spectra for a certain partial differential system.The inequality of the upper bound of the(n+1)th spectrum is estimated from the former n spectra by using spectrum theory,matrix operation,integration by parts,trial function,Rayleigh theorem and inequality estimation.The estimate coefficients do not depend on the measure of the domain in which the problem is concerned.The results inare all corollaries of the theorems in this paper. |
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| Keywords: | partial differential system spectrum eigenfunction |
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