Jost solutions and the spectrum of the system of difference equations

BAYRAM E., Coskun C.

APPLIED MATHEMATICS LETTERS, vol.17, no.9, pp.1039-1045, 2004 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 17 Issue: 9
  • Publication Date: 2004
  • Doi Number: 10.1016/j.aml.2004.07.006
  • Journal Name: APPLIED MATHEMATICS LETTERS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1039-1045
  • Keywords: difference equations, spectral analysis, discrete spectrum, spectral singularities, SCHRODINGER OPERATOR, BOUNDARY-CONDITION, QUADRATIC PENCIL, SINGULARITIES, EXPANSION
  • Ankara University Affiliated: Yes

Abstract

In this paper, we investigate the analytical properties of the Jost solutions of non-self-adjoint system of difference equations of first order. Using the analytical properties of the Jost solutions, we also study the discrete spectrum of this system. (C) 2004 Elsevier Ltd. All rights reserved.