Jost solutions and the spectrum of the system of difference equations.
type: Item
instance of: scholarly article
title: Jost solutions and the spectrum of the system of difference equations.
zbMATH Open document ID: 1072.39013
published in: Applied Mathematics Letters
publication date: 2005-03-07T00:00:00Z
review text: The authors study the first order nonself-adjoint system of difference equations \(a_{n+1}y_{n+1}^{(2)}+b_ny_n^{(2)}+p_ny_n^{(1)}=\lambda y_n^{(1)}\), \(a_{n-1}y_{n-1}^{(1)}+b_ny_n^{(1)}+q_ny_n^{(2)}=\lambda y_n^{(2)}\), where the coefficients are complex sequences with \(a_n\neq 0\), \(b_n\neq 0\). The concept of the so-called Jost solution is introduced for this system. The study of its properties then serves to obtain information about eigenvalues and spectral singularities of the discrete system.
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 34L05
zbMATH DE Number: 2140780
zbMATH Keywords: difference equation
zbMATH Keywords: spectral analysis
zbMATH Keywords: spectral singularity
zbMATH Keywords: Jost solution
zbMATH Keywords: eigenvalues
zbMATH Keywords: discrete system
author: Elgiz Bairamov
author: Cafer Coskun
reviewed by: Pavel Rehak
MaRDI profile type: Publication
full work available at URL: j.aml.2004.07.006
OpenAlex ID: W2087096637
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DOI: 10.1016/J.AML.2004.07.006
description: scientific article; zbMATH DE number 2140780