Inverse nodal problem for Sturm-Liouville operator on a star graph with nonequal edges

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DURAK S.

TURKISH JOURNAL OF MATHEMATICS, cilt.46, sa.6, ss.2178-2192, 2022 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 6
  • Basım Tarihi: 2022
  • Doi Numarası: 10.55730/1300-0098.3262
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.2178-2192
  • Anahtar Kelimeler: Sturm-Liouville operator, nodal problem, star graph, SPECTRAL PROBLEMS, EQUATIONS, NETWORKS
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this study, Sturm???Liouville operator was investigated on a star graph with nonequal edges. First, the behaviors of sufficiently large eigenvalues were learned, then the solution of the inverse problem was given to determine the potantial functions and parameters of the boundary condition on the star graph with the help of a dense set of nodal points and obtain a constructive solution to the inverse problems of this class.