Scattering Analysis and Spectrum of Discrete Schrodinger Equations with Transmission Conditions

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BAYRAM E., AYGAR KÜÇÜKEVCİLİOĞLU Y., Karslioglu D.

FILOMAT, cilt.31, sa.17, ss.5391-5399, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 17
  • Basım Tarihi: 2017
  • Doi Numarası: 10.2298/fil1717391b
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.5391-5399
  • Anahtar Kelimeler: Transmission condition, Scattering theory, Scattering function, Discrete Schrdinger equation, 4TH-ORDER DIFFERENTIAL OPERATOR, BOUNDARY-VALUE PROBLEM, SYSTEM
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we present an investigation about scattering analysis of an transmission boundary value problem (TBVP) which consists a discrete Schrodinger equation and transmission conditions. Discussing the Jost solution and scattering function of this problem, we find the properties of scattering function of this problem by using the scattering solutions. We also investigate the discrete spectrum of this boundary value problem. Furthermore, we apply the results on an example which is the special case of main TBVP and we discuss the existence of eigenvalues of this example.