| Sturm-LiouVille算子部分谱信息的逆问题 |
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| 引用本文： | 王玉华,魏广生.Sturm-LiouVille算子部分谱信息的逆问题[J].纯粹数学与应用数学,2011,27(2):267-272. |
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| 作者姓名： | 王玉华 魏广生 |
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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(10771165) |
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| 摘 要： | 研究了Sturm-Liouville算子Aq,h,Hj,j=1,2,…中势函数q(x)的确定性问题,即已知部分区间a,1](a∈(0,1))上的势函数q(x),则无限组部分谱信息可唯一确定整个区间0,1]上的势函数.推广了Simon的方法,且将选择条件的范围从一组谱扩展到了无限组.
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| 关 键 词： | Sturm-Liouville算子 逆问题 特征值 |
The inverse problem for Sturm-Liouville operator with partial spectral information |
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| WANG Yu-hua,WEI Guang-sheng.The inverse problem for Sturm-Liouville operator with partial spectral information[J].Pure and Applied Mathematics,2011,27(2):267-272. |
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| Authors: | WANG Yu-hua WEI Guang-sheng |
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| Institution: | (College of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710062,China) |
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| Abstract: | This paper is considered the problem of the potential function q(x) is determined in Sturm-Liouville operator Aq,h,Hj,j = 1,2,....Namely,if q(x) is prescribed on the interval a,1],then infinite many partially spectra suffice to determine q(x) uniquely on 0,1].It promotes the method of Simon and makes the range of conditions from a single spectrum to infinite spectra. |
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| Keywords: | Sturm-Liouville operator inverse problem eigenvalue |
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