Inverse nodal problem for singular Sturm-Liouville operator on a star graph

AMİROV R., ARSLANTAŞ M., DURAK S.

Journal of Inverse and Ill-Posed Problems, cilt.32, sa.1, ss.1-8, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 1
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1515/jiip-2023-0055
  • Dergi Adı: Journal of Inverse and Ill-Posed Problems
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Compendex, INSPEC, MathSciNet, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.1-8
  • Anahtar Kelimeler: nodal problem, Singular Sturm-Liouville Operator, star graph
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this study, singular Sturm-Liouville operators on a star graph with edges are investigated. First, the behavior of sufficiently large eigenvalues is learned. Then the solution of the inverse problem is given to determine the potential functions and parameters of the boundary condition on the star graph with the help of a dense set of nodal points. Lastly, a constructive solution to the inverse problems of this class is obtained.