| 膜振动一致椭圆型问题的加权特征值上界估计 |
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| 引用本文： | 杨晓华,钱椿林.膜振动一致椭圆型问题的加权特征值上界估计[J].常熟理工学院学报,2009,23(2):35-39. |
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| 作者姓名： | 杨晓华 钱椿林 |
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| 作者单位： | 苏州市职业大学,基础部,江苏,苏州,215104 |
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| 基金项目： | 苏州市职业大学科研资助项目 |
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| 摘 要： | 考虑膜振动一致椭圆型问题的加权特征值上界估计，利用试验函数、分部积分法、Rayleigh定理以及不等式估计等方法，建立了用前n个特征值来估计第n＋1个特征值的上界估计，其估计系数与区域度量无关．这个结果在力学和物理学中有着广泛的应用．
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| 关 键 词： | 膜振动一致椭圆型问题 特征值 特征函数 带权 上界估计 |
Upper Estimates of Weighted Eigenvalues for Uniformly Elliptic Problem of the Vibration of Membranes |
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| YANG Xiao-hua,QIAN Chun-lin.Upper Estimates of Weighted Eigenvalues for Uniformly Elliptic Problem of the Vibration of Membranes[J].Journal of Changshu Institute of Technology,2009,23(2):35-39. |
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| Authors: | YANG Xiao-hua QIAN Chun-lin |
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| Institution: | Fundamental Department;Suzhou Vocational University;Suzhou 215004;China |
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| Abstract: | This paper considers upper estimates of weighted eigenvalues for uniformly elliptic problem of the vibration of membranes.The upper estimates are obtained by using test function,integration by parts,Rayleigh theorem and inequality estimation.These estimates are that the(n+1)th eigenvalue 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 both in the theory of partial ... |
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| Keywords: | uniformly elliptic problem of the vibration of membranes eigenvalue eigenfunction weighted upper estimates |
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