Inverse nodal problem for the quadratic pencil of the Sturm−Liouville equations with parameter-dependent nonlocal boundary condition

ÇAKMAK Y., KESKİN B.

Turkish Journal of Mathematics, cilt.47, sa.1, ss.397-404, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.55730/1300-0098.3367
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.397-404
  • Anahtar Kelimeler: Inverse nodal problem, Nonlocal boundary condition, Quadratic pencil of the sturm−liouville equations
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this paper, we consider the inverse nodal problem for a quadratic pencil of the Sturm−Liouville equations with parameter-dependent Bitsadze−Samarskii type nonlocal boundary condition and we give an algorithm for the reconstruction of the potential functions by obtaining the asymptotics of the nodal points.