Discrete Sturm-Liouville equations with point interaction

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

Journal of Analysis, vol.32, no.3, pp.1725-1737, 2024 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 32 Issue: 3
  • Publication Date: 2024
  • Doi Number: 10.1007/s41478-023-00718-9
  • Journal Name: Journal of Analysis
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.1725-1737
  • Keywords: 34B37, 34L05, 34L25, 39A70, Discrete Sturm-Liouville equation, Eigenvalue, Point interaction, Resolvent, Scattering function
  • Middle East Technical University Affiliated: Yes

Abstract

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.