Scattering Properties of Impulsive Discrete Dirac System with Hyperbolic Eigenparameter

In this work, we examine the spectral and scattering properties of an impulsive discrete Dirac system with hyperbolic parameter such as resolvent operator, the set of eigenvalues, Jost function, scattering solutions and scattering function. The dependence of the boundary condition on the hyperbolic parameter changes the analyticity region of the Jost solution in the classical case. This provides a wide perspective on the applications of certain problems in physics, economics and engineering.