A uniqueness theorem for singular Sturm-liouville operator

KAYALAR M.

Afrika Matematika, cilt.34, sa.3, 2023 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 3
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s13370-023-01097-x
  • Dergi Adı: Afrika Matematika
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Anahtar Kelimeler: Coulomb potential function, Sturm-Liouville operators, Wellposedness
  • Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

In this article, we study the wellposedness of the inverse problem for Sturm-Liouville equation with coulomb potential. We will consider two different inverse problem for Sturm-Liouville equation with coulomb potential. We will prove that ıf the spectral characteristics of this problems are close to each other, then the difference between their potential functions is sufficiently small.