| 弦方程的逆谱问题 |
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| 引用本文： | 何翠竹. 弦方程的逆谱问题[J]. 纺织高校基础科学学报, 2011, 24(1): 63-67 |
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| 作者姓名： | 何翠竹 |
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| 作者单位： | 陕西师范大学数学与信息科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(10771165) |
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| 摘 要： | 借助Liouvlle变换,将弦方程转化成势方程.利用研究势方程逆问题的方法研究了弦方程在不同谱信息下的逆谱问题,得到弦方程密度函数与其特征函数的关系,确定了弦方程的密度函数.
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| 关 键 词： | 特征值 逆问题 Liouville变换 收敛 |
The inverse spectral problem of the string equatiom |
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| HE Cui-zhu. The inverse spectral problem of the string equatiom[J]. Basic Sciences Journal of Textile Universities, 2011, 24(1): 63-67 |
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| Authors: | HE Cui-zhu |
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| Affiliation: | HE Cui-zhu (College of Mathematics and Information Science,Shaanxi Normal University,Xi′an 710062,China) |
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| Abstract: | With the help of the Liouville transformation,the string equation is transformed into potential equation,and then using the reserch method of the inverse spectral problem of the potential equation,the inverse problem of string equations under the different spectral information is studied.So the relationship between the density function and eigenfunction of string equations is obtained.Therefore,the density function is determined. |
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| Keywords: | eigenvalue inverse problem Liouville transformation convergence |
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