Inverse nodal problems for Dirac type integro differential system with a nonlocal boundary condition

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KESKİN B.

TURKISH JOURNAL OF MATHEMATICS, cilt.46, sa.6, ss.2430-2439, 2022 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 6
  • Basım Tarihi: 2022
  • Doi Numarası: 10.55730/1300-0098.3278
  • 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.2430-2439
  • Anahtar Kelimeler: Dirac operator, intego-differential operators, inverse nodal problems, nonlocal boundary conditions, boundary value problem, SPECTRAL PROBLEMS, OPERATORS, EQUATIONS, TRACE
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this paper, the Dirac type integro differential system with a nonlocal integral boundary condition is considered. First, we derive the asymptotic expressions for the solutions and large eigenvalues. Second, we provide asymptotic expressions for the nodal points and prove that a dense subset of nodal points uniquely determines the boundary condition parameter and the potential function of the considered differential system. We also provide an effective procedure for solving the inverse nodal problem.