Principal Functions of Non-Selfadjoint Sturm-Liouville Problems with Eigenvalue-Dependent Boundary Conditions
We consider the operator 𝐿 generated in 𝐿2(ℝ+) by the differential expression 𝑙(𝑦)=−𝑦+𝑞(𝑥)𝑦, 𝑥∈ℝ+∶=[0,∞) and the boundary condition 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 paper we obtain the properties of the principal functions correspondi...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/358912 |
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| author | Nihal Yokuş |
| author_facet | Nihal Yokuş |
| author_sort | Nihal Yokuş |
| collection | DOAJ |
| description | We consider the operator 𝐿 generated in 𝐿2(ℝ+) by the differential expression 𝑙(𝑦)=−𝑦+𝑞(𝑥)𝑦, 𝑥∈ℝ+∶=[0,∞) and the boundary condition 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 paper we obtain the properties of the principal functions corresponding to the spectral singularities of 𝐿. |
| format | Article |
| id | doaj-art-e6dd13050b794a548f36fa4617f82089 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e6dd13050b794a548f36fa4617f820892025-02-03T01:33:00ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/358912358912Principal Functions of Non-Selfadjoint Sturm-Liouville Problems with Eigenvalue-Dependent Boundary ConditionsNihal Yokuş0Department of Mathematics, Karamanoğlu Mehmetbey University, 70100 Karaman, TurkeyWe consider the operator 𝐿 generated in 𝐿2(ℝ+) by the differential expression 𝑙(𝑦)=−𝑦+𝑞(𝑥)𝑦, 𝑥∈ℝ+∶=[0,∞) and the boundary condition 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 paper we obtain the properties of the principal functions corresponding to the spectral singularities of 𝐿.http://dx.doi.org/10.1155/2011/358912 |
| spellingShingle | Nihal Yokuş Principal Functions of Non-Selfadjoint Sturm-Liouville Problems with Eigenvalue-Dependent Boundary Conditions Abstract and Applied Analysis |
| title | Principal Functions of Non-Selfadjoint Sturm-Liouville Problems with Eigenvalue-Dependent Boundary Conditions |
| title_full | Principal Functions of Non-Selfadjoint Sturm-Liouville Problems with Eigenvalue-Dependent Boundary Conditions |
| title_fullStr | Principal Functions of Non-Selfadjoint Sturm-Liouville Problems with Eigenvalue-Dependent Boundary Conditions |
| title_full_unstemmed | Principal Functions of Non-Selfadjoint Sturm-Liouville Problems with Eigenvalue-Dependent Boundary Conditions |
| title_short | Principal Functions of Non-Selfadjoint Sturm-Liouville Problems with Eigenvalue-Dependent Boundary Conditions |
| title_sort | principal functions of non selfadjoint sturm liouville problems with eigenvalue dependent boundary conditions |
| url | http://dx.doi.org/10.1155/2011/358912 |
| work_keys_str_mv | AT nihalyokus principalfunctionsofnonselfadjointsturmliouvilleproblemswitheigenvaluedependentboundaryconditions |