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A Study of Impulsive Discrete Dirac System With Hyperbolic Eigenparameter

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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

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2021-01-21

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Discrete Dirac equations | eigenvalues | hyperbolic eigenparameter | impulsive condition | scattering function

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