Acta mathematica scientia,Series A ›› 2021, Vol. 41 ›› Issue (2): 289-295.

    Next Articles

A Partial Inverse Problem for the Sturm-Liouville Operator on Quantum Graphs with a Loop

Shengyu Guan1(),Dongjie Wu1,Sat Murat2,*,Chuanfu Yang1,*   

  1. 1 Department of Applied Mathematics, School of Science, Nanjing University of Science and Technology, Nanjing 210094
    2 Faculty of Art and Sciences, Department of Mathematics, Erzincan University, Erzincan, Turkey
  • Received:2020-01-14 Online:2021-04-26 Published:2021-04-29
  • Contact: Sat Murat,Chuanfu Yang E-mail:guanshengyu@njust.edu.cn
  • Supported by:
    the NSFC(11871031);the Jiangsu NCF(BK20201303)

Abstract:

This deals with the Sturm-Liouville operator on the quantum graphs with a loop. Given the potential on a part of edges, we try to recover the remaining potential from the subspectrum. The uniqueness theorem and a constructive algorithm for the solution of this partial inverse problem are provided.

Key words: Partial inverse spectral problem, Sturm-Liouville operator, Quantum graph, Riesz-basis

CLC Number: 

  • O1751.1
Trendmd