| 一类四阶微分方程第二广义谱的估计 |
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| 引用本文： | 黄振明.一类四阶微分方程第二广义谱的估计[J].三明学院学报,2011,28(5). |
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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,江苏苏州,215104 |
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| 摘 要： | 考虑一类四阶微分方程第二广义谱的估计,利用方程谱理论、分部积分、Rayleigh定理和Cauchy-Schwarz不等式等估计方法,获得了用第一个谱来估计第二个谱的上界不等式,且其估计系数与所论区间的几何度量无关。
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| 关 键 词： | 微分方程 广义谱 上界 估计 |
Estimation of Generalized Second Spectrum for a Class of Differential Equation with Fourth-Order |
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| Abstract: | Estimation of generalized second spectrum for a class of differential equation with fourth-order is considered in this paper.The inequality of the upper bound of second spectrum is estimated from the first spectrum by using spectrum theory of equation,integration by parts,Rayleigh theorem and Cauchy-Schwarz inequality estimation.The estimate coefficient is independent of the measure of the domain in which the problem is discussed. |
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| Keywords: | differential equation generalized spectrum upper bound estimation |
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