Reconstruction of the Sturm-Liouville operator from nodal data

AMİROV R.

Filomat, cilt.38, sa.14, ss.5051-5060, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 14
  • Basım Tarihi: 2024
  • Doi Numarası: 10.2298/fil2414051a
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.5051-5060
  • Anahtar Kelimeler: Discontinuous conditions, inverse nodal problem, nodal points
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this study, the inverse nodal problem for second order differential operators on a finite interval with discontinuity conditions inside the interval is studied. For each discontinuity point d ∈ ℜ = {rπ, r ∈ (0, 1) ∩ Q}, the existence of the solution of the inverse nodal problem has been proven and a constructive procedure for the solution is provided.