Inverse problems for Sturm-Liouville operators on a star-shaped graph with mixed spectral data

被引：8

作者：

Wang, Yu Ping ^{[1
]}

Shieh, Chung-Tsun ^{[2
]}

机构：

[1] Nanjing Forestry Univ, Dept Appl Math, Nanjing, Peoples R China

[2] Tamkang Univ, Dept Math, New Taipei, Taiwan

来源：

APPLICABLE ANALYSIS | 2020年 / 99卷 / 14期

关键词：

inverse problem; differential operator on graphs; Sturm-Liouville operator; Weyl function; mixed spectral data; DIFFERENTIAL-OPERATORS; PARTIAL INFORMATION; EIGENVALUE PROBLEMS; NODAL PROBLEMS; QUANTUM; THEOREM;

D O I：

10.1080/00036811.2019.1566527

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The partial inverse spectral problem for Sturm-Liouville operators on a star-shaped graph was studied. The authors showed that if the potentials but one were knowna priori, then the unknown potential on the whole interval can be uniquely determined by part of information of the potential and part of eigenvalues. The methods employed rest on the Weyl'sm-function and theory concerning densities of zeros of entire functions.

引用

页码：2371 / 2380

页数：10

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