Spectral Analysis of A Difference Equation With Interface Conditions And Hyperbolic Eigenparameter on The Whole Axis

ÖZNUR G. B., AYGAR KÜÇÜKEVCİLİOĞLU Y.

Note di Matematica, cilt.43, sa.1, ss.67-80, 2023 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1285/i15900932v43n1p67
  • Dergi Adı: Note di Matematica
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.67-80
  • Anahtar Kelimeler: Difference equations, Eigenvalues, Hyperbolic eigenparameter, Interface condition, Spectral analysis, Spectral singularities
  • Ankara Üniversitesi Adresli: Evet

Özet

In this article, we present some spectral properties of a difference equation with interface (discontinuity) conditions and hyperbolic parameter on the whole axis. The purpose of this paper is to introduce the solutions and to investigate the qualitative properties of this equation such as finiteness of eigenvalues and spectral singularities. The analysis based on finding resolvent operator, Green function, continuous spectrum and some asymptotic equations.