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, cilt.64, sa.6, ss.991-998, 2021 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 64 Sayı: 6
  • Basım Tarihi: 2021
  • Dergi Adı: Acta Mathematica Sinica, Chinese Series
  • Derginin Tarandığı İndeksler: Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.991-998
  • Anahtar Kelimeler: Double loop graph, Partial inverse spectral problem, Rieszbasis, Standard matching condition, Sturm–Liouville operator
  • Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

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.