Spectrum of the Sturm Liouville operators with boundary conditions polynomially dependent on the spectral parameter

Yokuş, Nihal; KÖPRÜBAŞI, Turhan

doi:10.1186/s13660-015-0563-1

Spectrum of the Sturm Liouville operators with boundary conditions polynomially dependent on the spectral parameter

Yazarlar (2)

Nihal Yokuş Karamanoğlu Mehmetbey Üniversitesi, Türkiye

Prof. Dr. Turhan KÖPRÜBAŞI Kastamonu Üniversitesi, Türkiye

Makale Türü	Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı	Journal of Inequalities and Applications
Dergi ISSN	1025-5834
Dergi Tarandığı Indeksler	SCI-Expanded
Makale Dili	İngilizce	Basım Tarihi	12-2015
Kabul Tarihi	–	Yayınlanma Tarihi	03-02-2015
Cilt / Sayı / Sayfa	2015 / 1 / 42–0	DOI	10.1186/s13660-015-0563-1
Makale Linki	http://www.journalofinequalitiesandapplications.com/content/2015/1/42

Özet

In this paper, we consider the operator L generated in L2 (R+) by the Sturm-Liouville equation (formula presented), and the boundary condition (formula presented), where q is a complex-valued function, (formula presented) is an eigenparameter. Under the conditions(formula presented), using the uniqueness theorems of analytic functions, we prove that L has a finite number of eigenvalues and spectral singularities with finite multiplicities.

Anahtar Kelimeler

eigenparameter | eigenvalues | spectral singularities | Sturm-Liouville equations

Pdf İndir

Atıf Sayıları
Web of Science	3
Scopus	5

Spectrum of the Sturm Liouville operators with boundary conditions polynomially dependent on the spectral parameter

Spectrum of the Sturm Liouville operators with boundary conditions polynomially dependent on the spectral parameter

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