On a uniqueness theorem of Sturm-Liouville equations with boundary conditions polynomially dependent on the spectral parameter

被引：4

作者：

Wang, Yu Ping ^{[1
]}

Lien, Ko Ya ^{[2
]}

Shieh, Chung Tsun ^{[2
]}

机构：

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

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

来源：

BOUNDARY VALUE PROBLEMS | 2018年

关键词：

Inverse spectral problem; Inverse nodal problem; Spectral parameter; Potential; Weyl m-function; INVERSE NODAL PROBLEMS; PARTIAL INFORMATION; EIGENPARAMETER; OPERATORS;

D O I：

10.1186/s13661-018-0948-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Inverse nodal problems for Sturm-Liouville equations associated with boundary conditions polynomially dependent on the spectral parameter are studied. The authors show that a twin-dense subset W-B([a, b]) can uniquely determine the operator up to a constant translation of eigenparameter and potential, where [a, b] is an arbitrary interval which contains the middle point of the domain of the operator and B is a subset of N which satisfies some condition (see Theorem 4.2).

引用

页数：11

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