Inverse scattering properties with Levinson formula for cubic eigenparameter-dependent discrete Dirac problem

UDC 517.9 We present some properties of zeros of the Jost function and of the scattering function. Then the uniqueness of the kernel and the continuity of the scattering function with appropriate Levinson-type formula are investigated for the inverse discrete Dirac problem based on the cubic eigenparameter-dependent boundary condition.

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Publication Details

Journal
Ukrains’kyi Matematychnyi Zhurnal
Published
2024-11-11
DOI
https://doi.org/10.3842/umzh.v76i9.7718
Primary Topic
Spectral Theory in Mathematical Physics
Type
article
Field-Weighted Citation Impact
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article

Inverse scattering properties with Levinson formula for cubic eigenparameter-dependent discrete Dirac problem

Turhan Köprübaşı, R. N. Mohapatra
Ukrains’kyi Matematychnyi Zhurnal
Spectral Theory in Mathematical Physics
article

Inverse scattering properties with Levinson formula for cubic eigenparameter-dependent discrete Dirac problem

Turhan Köprübaşı, R. N. Mohapatra
article en

Abstract

UDC 517.9 We present some properties of zeros of the Jost function and of the scattering function. Then the uniqueness of the kernel and the continuity of the scattering function with appropriate Levinson-type formula are investigated for the inverse discrete Dirac problem based on the cubic eigenparameter-dependent boundary condition.

Ukrains’kyi Matematychnyi ZhurnalVol. 76(9)
University of Central Florida (US)
Openalex Percentile: Top 67%
Spectral Theory in Mathematical Physics
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