Impulsive Discrete Dirac Equation with Spectral Parameter

Abstract

In this study, an impulsive problem which consists a Dirac equation with eigenparameter dependent boundary conditions is studied. Scattering solutions ensuring existence of Jost solution, resolvent operator and scattering function of this impulsive problem are delivered. Furthermore, discrete spectrum and asymptotic behavior of Jost function of the problem are investigated. An example illustrating the main results is given