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.
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页数：14
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