Discrete Sturm-Liouville equations with point interaction

ÖZBEY G. G., AYGAR KÜÇÜKEVCİLİOĞLU Y., ÖZNUR G. B.

Journal of Analysis, cilt.32, sa.3, ss.1725-1737, 2024 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 3
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1007/s41478-023-00718-9
  • Dergi Adı: Journal of Analysis
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.1725-1737
  • Anahtar Kelimeler: 34B37, 34L05, 34L25, 39A70, Discrete Sturm-Liouville equation, Eigenvalue, Point interaction, Resolvent, Scattering function
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

Scattering solutions and several properties of scattering function of a discrete Sturm-Liouville boundary value problem with point interaction (PBVP) are derived. Moreover, resolvent operator, continuous and discrete spectrum of this PBVP are investigated. An asymptotic equation is utilized to get the properties of eigenvalues. An example illustrating the main results is given.