Inverse nodal problem for diffusion operator on a star graph with nonhomogeneous edges

DURAK S.

Journal of Inverse and Ill-Posed Problems, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1515/jiip-2022-0094
  • Dergi Adı: Journal of Inverse and Ill-Posed Problems
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, MathSciNet, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Diffusion operator, nodal problem, star graph
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this study, a diffusion operator is investigated on a star graph with nonhomogeneous edges. First, the behaviors of sufficiently large eigenvalues are learned, and 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 and to obtain a constructive solution to the inverse problems of this class.