Spectral Properties Of A Discrete Sturm-Liouville Equation

AYGAR KÜÇÜKEVCİLİOĞLU Y., Ozbey G. G.

APPLIED MATHEMATICS E-NOTES, cilt.40, ss.755-781, 2020 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s10473-020-0312-5
  • Dergi Adı: APPLIED MATHEMATICS E-NOTES
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Sayfa Sayıları: ss.755-781
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

We deal with a boundary value problem (BVP) for a discrete Sturm-Liouville equation with boundary conditions depending on spectral parameter. Here, we give a polynomial-type Jost solution and determine the Jost function of this BVP. Using the analytical properties and asymptotic behavior of Jost function on unit disc, we examine the Green function, resolvent operator, point spectrum and the set of spectral singularities of given BVP. At the end, we compare our results with other similar works.