An inverse three spectra problem for Sturm-Liouville operators

被引：4

作者：

Guo, Yongxia ^{[1
]}

Wei, Guangsheng ^{[1
]}

Yao, Ruoxia ^{[2
]}

机构：

[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian, Shaanxi, Peoples R China

[2] Shaanxi Normal Univ, Sch Comp Sci, Xian, Shaanxi, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2018年

基金：

中国博士后科学基金;

关键词：

Sturm-Liouville problem; Inverse three spectra problem; Boundary condition; NEVANLINNA FUNCTIONS; RECONSTRUCTION; UNIQUENESS; THEOREM;

D O I：

10.1186/s13661-018-0987-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the inverse three spectra problems of recovering the Sturm-Liouville equation by the spectra of the Neumann-Dirichlet boundary value problem on [0,1], the Neumann-Robin problem on [0,1/2], and the Robin-Dirichlet problem on [1/2,1], where the two Robin parameters at the interior node x = 1/2 are considered to be different. The algorithm of construction is presented and sufficient conditions for three sequences to be the spectral data of the mentioned boundary problems are given.

引用

页数：14

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