Inverse problem for interior spectral data of the Sturm – Liouville operator

Inverse problem for interior spectral data of the Sturm – Liouville operator
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DOI:
10.1515/jiip.2001.9.4.425
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发表时间:
2001
影响因子:
2.6
通讯作者:
K. Mochizuki;I. Trooshin
K. Mochizuki;I. Trooshin
中科院分区:
--
文献类型:
--
作者:
K. Mochizuki;I. Trooshin

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摘要-本文研究了Sturm-Liouville算子的反问题。取本征函数在某一内点的对数导数值和两个谱的部分值作为数据。得到了唯一性定理。采用的方法,在调查中使用的问题与部分已知的潜力。
Abstract - In this paper inverse problems for the Sturm-Liouville operator are studied. A set of values of the logarithmic derivative of eigenfunctions at some internal point and parts of two spectra are taken as data. Uniqueness theorems are obtained. The approach that was used in investigation of problems with partially known potential is employed.