| Yazarlar |
Prof. Dr. Turhan KÖPRÜBAŞI
Kastamonu Üniversitesi, Türkiye |
Ram N Mohapatra
|
| Özet |
| Let 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. |
| Anahtar Kelimeler |
| Discrete Dirac equations,Eigenparameter,Spectral Analysis,Discrete spectrum,Spectral singularities,Principal functions |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | Filomat |
| Dergi ISSN | 0354-5180 |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2019 |
| Cilt No | 33 |
| Sayı | 18 |
| Sayfalar | 6039 / 6054 |
| Makale Linki | https://doi.org/10.2298/FIL1918039K |
