Koprubasi T., Mohapatra R.Koprubasi, T, Mohapatra, RN2023-05-092023-05-092019-01-012019.01.010354-5180https://hdl.handle.net/20.500.12597/14315Let L denote the discrete Dirac operator generated in ℓ2 (N, C 2) by the non-selfadjoint difference operators of first order { an+1 y(2) +bn+1 n y(2) n + pn y(1) n = λy(1) n an−1 y(1) +bn−1 n y(1) n + qn y(2) n = λy(2) n, n ∈ N, with boundary condition (0.1) p∑ k=0 (y (2) 1γk + y(1) 0βk) λk = 0, (0.2) where (an), (bn), (pn) and (qn), n ∈ N are complex sequences, γi, βi ∈ C, i = 0, 1, 2, …, p and λ is a eigenparameter. We discuss the spectral properties of L and we investigate the properties of the spectrum and the principal vectors corresponding to the spectral singularities of L, if ∞∑ |n|(|1 − an | + |1 + bn | +∣ ∣ ∣pn ∣∣ ∣∣∣qn ∣∣∣) + < ∞n=1 holds.trueDiscrete dirac equations | Discrete spectrum | Eigenparameter | Principal functions | Spectral analysis | Spectral singularitiesArticle10.2298/FIL1918039K10.2298/FIL1918039K2-s2.0-85077901882WOS:0005063829000246039605433