Inverse nodal problem for diffusion operator on a star graph with nonhomogeneous edges

被引：0

作者：

Durak, Sevim ^{[1
]}

机构：

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

来源：

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS | 2024年 / 32卷 / 03期

关键词：

Diffusion operator; nodal problem; star graph; STURM-LIOUVILLE OPERATORS; SPECTRAL PROBLEMS; EQUATIONS; NETWORKS; POINTS;

D O I：

10.1515/jiip-2022-0094

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, a diffusion operator is investigated on a star graph with nonhomogeneous edges. First, the behaviors of sufficiently large eigenvalues are learned, and 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 and to obtain a constructive solution to the inverse problems of this class.

引用

页码：485 / 496

页数：12

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