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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/289596 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850157902450393088 |
|---|---|
| author | Elgiz Bairamov Nihal Yokus |
| author_facet | Elgiz Bairamov Nihal Yokus |
| author_sort | Elgiz Bairamov |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-67d31dc216f841f9bbeb4add346efb7f |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-67d31dc216f841f9bbeb4add346efb7f2025-08-20T02:24:03ZengWileyAbstract 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 |
| spellingShingle | Elgiz Bairamov Nihal Yokus Spectral Singularities of Sturm-Liouville Problems with Eigenvalue-Dependent Boundary Conditions Abstract and Applied Analysis |
| title | 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_short | Spectral Singularities of Sturm-Liouville Problems with Eigenvalue-Dependent Boundary Conditions |
| title_sort | spectral singularities of sturm liouville problems with eigenvalue dependent boundary conditions |
| url | http://dx.doi.org/10.1155/2009/289596 |
| work_keys_str_mv | AT elgizbairamov spectralsingularitiesofsturmliouvilleproblemswitheigenvaluedependentboundaryconditions AT nihalyokus spectralsingularitiesofsturmliouvilleproblemswitheigenvaluedependentboundaryconditions |