The spectrum of eigenparameter dependent discrete Sturm Liouville equations

Bairamov, Elgiz; Aygar, Yelda; KÖPRÜBAŞI, Turhan

doi:10.1016/j.cam.2009.12.037

The spectrum of eigenparameter dependent discrete Sturm Liouville equations

Yazarlar (3)

Elgiz Bairamov Ankara Üniversitesi, Türkiye

Yelda Aygar Ankara Üniversitesi, Türkiye

Prof. Dr. Turhan KÖPRÜBAŞI Ankara Üniversitesi, Türkiye

Makale Türü	Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı	Journal of Computational and Applied Mathematics (Q4)
Dergi ISSN	0377-0427 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler	SCI
Makale Dili	İngilizce	Basım Tarihi	06-2011
Kabul Tarihi	–	Yayınlanma Tarihi	01-06-2011
Cilt / Sayı / Sayfa	235 / 16 / 4519–4523	DOI	10.1016/j.cam.2009.12.037
Makale Linki	http://linkinghub.elsevier.com/retrieve/pii/S0377042709008541

Özet

Let us consider the boundary value problem (BVP) for the discrete SturmLiouville equation an-1yn-1+bny n+anyn+1=λ yn,n∈N, (γ0+γ1λ) y1+(β0+β1λ)^y0=0, where (^an) and (^bn),n∈N are complex sequences, γi,βi∈C,i=0,1, and λ is a eigenparameter. Discussing the point spectrum, we prove that the BVP (0.1), (0.2) has a finite number of eigenvalues and spectral singularities with a finite multiplicities, if supn∈N[exp(ε n^δ)(|1a n|+|bn|)]<∞, for some ε>0 and 12≤δ≤1. © 2011 Published by Elsevier B.V. All rights reserved.

Anahtar Kelimeler

Discrete equations | Eigenvalues | Spectral analysis | Spectral singularities

Pdf İndir

Science Direct

Atıf Sayıları
Web of Science	32
Scopus	29

The spectrum of eigenparameter dependent discrete Sturm Liouville equations

Dergi Adı	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Yayıncı	Elsevier B.V.
Açık Erişim	Evet
ISSN	0377-0427
E-ISSN	1879-1778
CiteScore	4,8
SJR	0,688
SNIP	1,374

The spectrum of eigenparameter dependent discrete Sturm Liouville equations

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