Uniqueness and Reconstruction of the Double Loop Graph 双环图上的唯一性及其重构


Guan S. Y., Yang C. F., ŞAT M.

Acta Mathematica Sinica, Chinese Series, vol.64, no.6, pp.991-998, 2021 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 64 Issue: 6
  • Publication Date: 2021
  • Journal Name: Acta Mathematica Sinica, Chinese Series
  • Journal Indexes: Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.991-998
  • Keywords: Double loop graph, Partial inverse spectral problem, Rieszbasis, Standard matching condition, Sturm–Liouville operator
  • Erzincan Binali Yildirim University Affiliated: Yes

Abstract

We provide a method for solving inverse Sturm-Liouville problem on the double loop graph. We deduce asymptotic of eigenvalues for double loop graph with the standard matching condition at the contact vertex, and then reconstruct the unknown potential by the Riesz basis constructed from the subspectrum, and finally present the uniqueness theorem and reconsbruction algorithm.