Inverse nodal problem for singular Sturm-Liouville operator on a star graph

被引：0

作者：

Amirov, Rauf ^{[2
]}

Arslantas, Merve ^{[1
]}

Durak, Sevim ^{[2
]}

机构：

[1] Sivas Cumhuriyet Univ, Vocat Sch Sivas, TR-58140 Sivas, Turkiye

[2] Sivas Cumhuriyet Univ, Fac Sci, Dept Math, TR-58140 Sivas, Turkiye

来源：

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS | 2024年 / 32卷 / 01期

关键词：

Singular Sturm-Liouville Operator; nodal problem; star graph; EQUATIONS;

D O I：

10.1515/jiip-2023-0055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, singular Sturm-Liouville operators on a star graph with edges are investigated. First, the behavior of sufficiently large eigenvalues is learned. Then the solution of the inverse problem is given to determine the potential functions and parameters of the boundary condition on the star graph with the help of a dense set of nodal points. Lastly, a constructive solution to the inverse problems of this class is obtained.

引用

页码：1 / 8

页数：8

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