Ambarzumyan-type theorems on graphs with loops and double edges

被引：6
|
作者：
Yang, Chuan-Fu [1 ]
Xu, Xiao-Chuan [1 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Sci, Dept Appl Math, Nanjing 210094, Jiangsu, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 444卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Quantum graph; Ambarzumyan's theorem; Inverse spectral problem; Variational principle; STURM-LIOUVILLE EQUATION; TREES;
D O I：
10.1016/j.jmaa.2016.07.030
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we consider inverse spectral problems for two types of graphs with loops and/or double edges. It is shown that analogs of Ambarzumyan's theorem are true for Sturm-Liouville problems on graphs with Neumann boundary conditions at the pendant vertices and Kirchhoff's conditions at the interior vertices. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：1348 / 1358
页数：11
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