Quadratic eigenparameter dependent discrete Sturm Liouville equations with spectral singularities

KÖPRÜBAŞI, Turhan; Yokuş, Nihal

doi:10.1016/j.amc.2014.06.072

Quadratic eigenparameter dependent discrete Sturm Liouville equations with spectral singularities

Yazarlar (2)

Prof. Dr. Turhan KÖPRÜBAŞI Kastamonu Üniversitesi, Türkiye

Nihal Yokuş Selçuk Üniversitesi, Türkiye

Makale Türü	Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı	Applied Mathematics and Computation
Dergi ISSN	0096-3003 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler	SCI-Expanded
Makale Dili	İngilizce	Basım Tarihi	10-2014
Kabul Tarihi	–	Yayınlanma Tarihi	01-10-2014
Cilt / Sayı / Sayfa	244 / 1 / 57–62	DOI	10.1016/j.amc.2014.06.072
Makale Linki	http://linkinghub.elsevier.com/retrieve/pii/S0096300314009163

Özet

Let us consider the boundary value problem (BVP) for the discrete Sturm-Liouville equationan-1yn-1+^bn ^yn+^anyn+1=λ^yn,n N,( ^γ0+^γ1λ+^γ2 ^λ2)^y1+(^β0+ ^β1λ+^β2λ2) ^y0=0,where (^an) and (^bn),nâ̂̂N are complex sequences, ^γi,^βiâ̂̂ C,i=0,1,2, and λ is a eigenparameter. Discussing the point spectrum, we prove that the BVP (0.1) and (0.2) has a finite number of eigenvalues and spectral singularities with a finite multiplicities, ifsupnâ̂̂ Nexp(ε^nδ)1-^an+^bn<â̂ for some ε>0 and 12≤δ≤1. © 2014 Elsevier Inc. All rights reserved.

Anahtar Kelimeler

Discrete equations | Eigenparameter | Eigenvalues | Spectral analysis | Spectral singularities

Science Direct

Atıf Sayıları
Web of Science	15
Scopus	11

Quadratic eigenparameter dependent discrete Sturm Liouville equations with spectral singularities

Dergi Adı	APPLIED MATHEMATICS AND COMPUTATION
Yayıncı	Elsevier Inc.
Açık Erişim	Hayır
ISSN	0096-3003
E-ISSN	1873-5649
CiteScore	7,9
SJR	0,890
SNIP	1,402

Quadratic eigenparameter dependent discrete Sturm Liouville equations with spectral singularities

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