A Study of Impulsive Discrete Dirac System With Hyperbolic Eigenparameter

Abstract

Let L denote the discrete Dirac operator generated in ℓ2 (N,C2) by the difference operators of first order with boundary and impulsive conditions where {pn} n∈N, {qn} n∈N are real sequences, λ = 2 sinh is a hyperbolic eigenparameter and △ is forward operator. In this paper, the spectral properties of L such as the spectrum, the eigenvalues, the scattering function and their properties are given with an example in the special cases under the condition