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Let us consider the Boundary Value Problem (BVP) for the discrete Dirac equations a n+1 yn , a n-1 y(1) 0 = 0, where (a n ), (b n ), (p n ) and (q n ), n ∈ N are complex sequences, γ i , β i ∈ C, i = 0, 1, 2, and λ is an eigenparameter. Discussing the eigenvalues and the spectral singularities, we prove that this BVP has a finite number of eigenvalues and spectral singularities with a finite number of multiplicities, if

We investigate the principal functions corresponding to the eigenvalues and the spectral singularities of the boundary value problem (BVP) , and , where and are complex sequences, is an eigenparameter, and , for , 1.