A Discrete Boundary Value Problem with Point Interaction

AYGAR KÜÇÜKEVCİLİOĞLU Y., Koprubasi T.

FILOMAT, cilt.36, sa.18, ss.6279-6288, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 18
  • Basım Tarihi: 2022
  • Doi Numarası: 10.2298/fil2218279a
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.6279-6288
  • Ankara Üniversitesi Adresli: Evet

Özet

This paper is concerned with a boundary value problem (BVP) for discrete Sturm-Liouville equation with point interaction and boundary conditions depending on a hyperbolic eigenvalue parameter. This paper presents some spectral and scattering properties of this BVP in terms of Jost solution, scattering solutions, scattering function, continuous and discrete spectrum. In addition, the resolvent operator of the BVP is obtained to get the properties of eigenvalues. Furthermore, an example is considered as a special case of the main problem to demonstrate the effectiveness of our results.