The cubic eigenparameter dependent discrete Dirac equations with principal functions
Yazarlar (1)
Prof. Dr. Turhan KÖPRÜBAŞI Kastamonu Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale (ESCI dergilerinde yayınlanan tam makale)
Dergi Adı COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
Dergi ISSN 1303-5991 Wos Dergi
Dergi Tarandığı Indeksler TR DİZİN
Makale Dili İngilizce Basım Tarihi 01-2019
Kabul Tarihi Yayınlanma Tarihi 01-07-2019
Cilt / Sayı / Sayfa 68 / 2 / 1742–1760 DOI 10.31801/cfsuasmas.454232
Makale Linki http://dergipark.gov.tr/doi/10.31801/cfsuasmas.454232
Özet
Let us consider the Boundary Value Problem (BVP) for the discrete Dirac Equations ( an+1y (2) n+1 + bny (2) n + pny (1) n = y(1) n an1y (1) n1 + bny (1) n + qny (2) n = y(2) n ; n 2 N; (0.1) (0 + 1 + 2 2 + 3 3 )y (2) 1 + (0 + 1 + 2 2 + 3 3 )y (1) 0 = 0; (0.2) where (an); (bn); (pn) and (qn); n 2 N are complex sequences, i ; i 2 C; i = 0; 1; 2 and is a eigenparameter. Discussing the eigenvalues and the spectral singularities, we prove that the BVP (0.1), (0.2) has a Önite number of eigenvalues and spectral singularities with a Önite multiplicities, if X1 n=1 exp("n ) (j1 anj + j1 + bnj + jpnj + jqnj) < 1; holds, for some " > 0 and 1 2.
Anahtar Kelimeler
Discrete Dirac equations | eigenparameter | spectral analysis | spectrum | principal functions
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Web of Science 3
The cubic eigenparameter dependent discrete Dirac equations with principal functions

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