An inverse scattering problem for eigenparameter-dependent discrete Dirac system with Levinson formula

In this paper, we have considered an inverse scattering problem for discrete Dirac operator L with eigenparameter dependent boundary condition. At the outset, the Jost solution and the Jost function of L are given. Then the zeros of the Jost function and some properties of the scattering function ar...

Full description

Saved in:
Bibliographic Details
Published inComplex variables and elliptic equations Vol. 69; no. 4; pp. 695 - 711
Main Authors Koprubasi, Turhan, Mohapatra, R. N.
Format Journal Article
LanguageEnglish
Published Colchester Taylor & Francis 02.04.2024
Taylor & Francis Ltd
Subjects
Boundary conditions
Continuity (mathematics)
Discrete Dirac equation
eigenparameter
Inverse scattering
Levinson formula
Operators (mathematics)
scattering function
Scattering functions
Online AccessGet full text

Cover

More Information
Summary:In this paper, we have considered an inverse scattering problem for discrete Dirac operator L with eigenparameter dependent boundary condition. At the outset, the Jost solution and the Jost function of L are given. Then the zeros of the Jost function and some properties of the scattering function are examined. After finding the scattering dataset and the main equation for the operator L, the uniqueness of the kernel, continuity of the scattering function and the appropriate Levinson type formula are obtained.
ISSN:1747-6933
1747-6941
DOI:10.1080/17476933.2022.2159951