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

页码：1348 / 1358

页数：11

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