Ambarzumyan-type theorems on graphs with loops and double edges

作者：Yang, Chuan-Fu^*; Xu, Xiao-Chuan

来源：Journal of Mathematical Analysis and Applications, 2016, 444(2): 1348-1358.

DOI：10.1016/j.jmaa.2016.07.030

• Quantum graph
• Ambarzumyan's theorem
• Inverse spectral problem
• Variational principle

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.

• 出版日期2016-12-15
• 单位南京理工大学