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

Turhan Koprubasi; R. N. Mohapatra

doi:10.3842/umzh.v76i9.7718

Turhan Koprubasi Department of Mathematics, Kastamonu University, Turkey and Department of Mathematics, University of Central Florida, Orlando, FL, USA
R. N. Mohapatra Department of Mathematics, University of Central Florida, Orlando, FL, USA

DOI: https://doi.org/10.3842/umzh.v76i9.7718

Keywords: Discrete Dirac equation, Eigenparameter, Scattering function, Levinson formula

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.

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