Non-Self-Adjoint Singular Sturm-Liouville Problems with Boundary Conditions Dependent on the Eigenparameter-Reference-Cited by-同舟云学术

Non-Self-Adjoint Singular Sturm-Liouville Problems with Boundary Conditions Dependent on the Eigenparameter

Published:2010 Issue: Volume:2010 Page:1-10
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Bairamov Elgiz¹,Seyyidoglu M. Seyyit²

Affiliation:

1. Department of Mathematics, Science Faculty, Ankara University, 06100 Ankara, Turkey

2. Department of Mathematics, Science and Art Faculty, Usak University, 64200 Campus-Uşak, Turkey

Abstract

Let denote the operator generated in by the Sturm-Liouville problem: , , , where is a complex valued function and , with In this paper, using the uniqueness theorems of analytic functions, we investigate the eigenvalues and the spectral singularities of . In particular, we obtain the conditions on under which the operator has a finite number of the eigenvalues and the spectral singularities.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2010/982749.pdf

Reference27 articles.

1. Investigation of the spectrum and the expansion in eigenfunctions of a non-selfadjoint differential operator of the second order on a semi-axis

2. A Singular Boundary Value Problem for a Non-Self-Adjoint Differential Operator

3. ON SEPARATION CONDITIONS FOR THE SPECTRAL COMPONENTS OF A DISSIPATIVE OPERATOR

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