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The cubic eigenparameter dependent discrete Dirac equations with principal functions     
Yazarlar
Prof. Dr. Turhan KÖPRÜBAŞI Prof. Dr. Turhan KÖPRÜBAŞI
Kastamonu Üniversitesi, Türkiye
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
Makale Türü Özgün Makale
Makale Alt Türü ESCI dergilerinde yayımlanan tam makale
Dergi Adı COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
Dergi ISSN 1303-5991
Dergi Tarandığı Indeksler TR DİZİN
Makale Dili İngilizce
Basım Tarihi 01-2019
Cilt No 68
Sayı 2
Sayfalar 1742 / 1760
Doi Numarası 10.31801/cfsuasmas.454232
Makale Linki http://dergipark.gov.tr/doi/10.31801/cfsuasmas.454232
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
WoS 2
The cubic eigenparameter dependent discrete Dirac equations with principal functions

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