Jost solutions and the spectrum of the system of difference equations

BAYRAM, ELGİZ; Coskun, C

doi:10.1016/j.aml.2004.07.006

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, Scopus)

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.