ON THE RESOLVENT OPERATOR OF DYNAMIC DIRAC OPERATORS


Allahverdiev B. P., Tuna H.

Advances in Mathematical Sciences and Applications, cilt.32, sa.1, ss.1-16, 2023 (Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 1
  • Basım Tarihi: 2023
  • Dergi Adı: Advances in Mathematical Sciences and Applications
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.1-16
  • Anahtar Kelimeler: Dirac operator, resolvent operator, singular point, spectral function, Time scale, Titchmarsh–Weyl function
  • Süleyman Demirel Üniversitesi Adresli: Evet

Özet

In this article, we investigate the resolvent of dynamic Dirac operators on unbounded time scales. For the resolvent of these operators, integral representations are obtained. Finally, a formula for the Titchmarsh–Weyl function is given.