| Yazarlar |
Elgiz Bayram
Türkiye |
Prof. Dr. Turhan KÖPRÜBAŞI
Kastamonu Üniversitesi, Türkiye |
| Özet |
| Let us consider the Boundary Value Problem (BVP) for the discrete Dirac Equations. (0.1)fenced((an + 1 yn + 1(2) + bn yn(2) + pn yn(1) = λ yn(1); an - 1 yn - 1(1) + bn yn(1) + qn yn(2) = λ yn(2),, n ∈ N,))(0.2)(γ0 + γ1 λ) y1(2) + (β0 + β1 λ) y0(1) = 0,. where (an), (bn), (pn) and (qn), n ∈ N are complex sequences,. γi, βi ∈ C, i = 0, 1 and λ is a eigenparameter. Discussing the eigenvalues and the spectral singularities, we prove that the BVP (0.1), (0.2) has a finite number of eigenvalues and spectral singularities with a finite multiplicities, if. underover(∑, n = 1, ∞) exp (ε nδ) (| 1 - an | + | 1 + bn | + | pn | + | qn |) < ∞,. holds, for some ε > 0 and frac(1, 2) ≤ δ ≤ 1 . © 2009 Elsevier Inc. All rights reserved. |
| Anahtar Kelimeler |
| 14H45 | 14H50 | 53A04 | Discrete Dirac equations | Discrete spectrum | Spectral analysis | Spectral singularities |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | APPLIED MATHEMATICS AND COMPUTATION |
| Dergi ISSN | 0096-3003 |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Makale Dili | İngilizce |
| Basım Tarihi | 02-2010 |
| Cilt No | 215 |
| Sayı | 12 |
| Sayfalar | 4216 / 4220 |
| Doi Numarası | 10.1016/j.amc.2009.12.043 |
| Makale Linki | http://linkinghub.elsevier.com/retrieve/pii/S009630030901090X |
| Atıf Sayıları | |
| WoS | 16 |
| SCOPUS | 15 |
