Spectral Singularities of Sturm-Liouville Problems with Eigenvalue-Dependent Boundary Conditions

Spectral Singularities of Sturm-Liouville Problems with Eigenvalue-Dependent Boundary Conditions

Let L denote the operator generated in L2(R+) by Sturm-Liouville equation −y′′+q(x)y=λ2y, x∈R+=[0,∞), y′(0)/y(0)=α0+α1λ+α2λ2, where q is a complex-valued function and αi∈ℂ, i=0,1,2 with α2≠0. In this article, we investigate the eigenvalues and the spectral singularities of L and obtain analogs of Na...

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Main Authors: Elgiz Bairamov, Nihal Yokus
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2009/289596
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spelling doaj-67d31dc216f841f9bbeb4add346efb7f2020-11-24T21:45:41ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/289596289596Spectral Singularities of Sturm-Liouville Problems with Eigenvalue-Dependent Boundary ConditionsElgiz Bairamov0Nihal Yokus1Department of Mathematics, Ankara University, 06100 Tandogan, Ankara, TurkeyDepartment of Mathematics, Ankara University, 06100 Tandogan, Ankara, TurkeyLet L denote the operator generated in L2(R+) by Sturm-Liouville equation −y′′+q(x)y=λ2y, x∈R+=[0,∞), y′(0)/y(0)=α0+α1λ+α2λ2, where q is a complex-valued function and αi∈ℂ, i=0,1,2 with α2≠0. In this article, we investigate the eigenvalues and the spectral singularities of L and obtain analogs of Naimark and Pavlov conditions for L.http://dx.doi.org/10.1155/2009/289596
collection DOAJ
language English
format Article
sources DOAJ
author Elgiz Bairamov
Nihal Yokus
spellingShingle Elgiz Bairamov
Nihal Yokus
Spectral Singularities of Sturm-Liouville Problems with Eigenvalue-Dependent Boundary Conditions
Abstract and Applied Analysis
author_facet Elgiz Bairamov
Nihal Yokus
author_sort Elgiz Bairamov
title Spectral Singularities of Sturm-Liouville Problems with Eigenvalue-Dependent Boundary Conditions
title_short Spectral Singularities of Sturm-Liouville Problems with Eigenvalue-Dependent Boundary Conditions
title_full Spectral Singularities of Sturm-Liouville Problems with Eigenvalue-Dependent Boundary Conditions
title_fullStr Spectral Singularities of Sturm-Liouville Problems with Eigenvalue-Dependent Boundary Conditions
title_full_unstemmed Spectral Singularities of Sturm-Liouville Problems with Eigenvalue-Dependent Boundary Conditions
title_sort spectral singularities of sturm-liouville problems with eigenvalue-dependent boundary conditions
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2009-01-01
description Let L denote the operator generated in L2(R+) by Sturm-Liouville equation −y′′+q(x)y=λ2y, x∈R+=[0,∞), y′(0)/y(0)=α0+α1λ+α2λ2, where q is a complex-valued function and αi∈ℂ, i=0,1,2 with α2≠0. In this article, we investigate the eigenvalues and the spectral singularities of L and obtain analogs of Naimark and Pavlov conditions for L.
url http://dx.doi.org/10.1155/2009/289596
work_keys_str_mv AT elgizbairamov spectralsingularitiesofsturmliouvilleproblemswitheigenvaluedependentboundaryconditions
AT nihalyokus spectralsingularitiesofsturmliouvilleproblemswitheigenvaluedependentboundaryconditions
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