Principal Functions of Non-Selfadjoint Difference Operator with Spectral Parameter in Boundary Conditions
We investigate the principal functions corresponding to the eigenvalues and the spectral singularities of the boundary value problem (BVP) 𝑎𝑛−1𝑦𝑛−1+𝑏𝑛𝑦𝑛+𝑎𝑛𝑦𝑛+1=𝜆𝑦𝑛, 𝑛∈ℕ and (𝛾0+𝛾1𝜆)𝑦1+(𝛽0+𝛽1𝜆)𝑦0=0, where (𝑎𝑛) and (𝑏𝑛) are complex sequences, 𝜆 is an eigenparameter, and 𝛾𝑖, 𝛽𝑖∈ℂ fo...
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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/10.1155/2011/608329 |
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| author | Murat Olgun Turhan Koprubasi Yelda Aygar |
| author_facet | Murat Olgun Turhan Koprubasi Yelda Aygar |
| author_sort | Murat Olgun |
| collection | DOAJ |
| description | We investigate the
principal functions corresponding
to the eigenvalues and the spectral singularities of the boundary value problem
(BVP) 𝑎𝑛−1𝑦𝑛−1+𝑏𝑛𝑦𝑛+𝑎𝑛𝑦𝑛+1=𝜆𝑦𝑛, 𝑛∈ℕ and (𝛾0+𝛾1𝜆)𝑦1+(𝛽0+𝛽1𝜆)𝑦0=0, where (𝑎𝑛) and (𝑏𝑛) are complex sequences, 𝜆 is an eigenparameter, and 𝛾𝑖, 𝛽𝑖∈ℂ for 𝑖=0, 1. |
| format | Article |
| id | doaj-art-b60af28009ca4359a8eeaf47a00a71e1 |
| 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-b60af28009ca4359a8eeaf47a00a71e12025-02-03T01:31:00ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/608329608329Principal Functions of Non-Selfadjoint Difference Operator with Spectral Parameter in Boundary ConditionsMurat Olgun0Turhan Koprubasi1Yelda Aygar2Department of Mathematics, Ankara University, 06100 Ankara, TurkeyDepartment of Mathematics, Ankara University, 06100 Ankara, TurkeyDepartment of Mathematics, Ankara University, 06100 Ankara, TurkeyWe investigate the principal functions corresponding to the eigenvalues and the spectral singularities of the boundary value problem (BVP) 𝑎𝑛−1𝑦𝑛−1+𝑏𝑛𝑦𝑛+𝑎𝑛𝑦𝑛+1=𝜆𝑦𝑛, 𝑛∈ℕ and (𝛾0+𝛾1𝜆)𝑦1+(𝛽0+𝛽1𝜆)𝑦0=0, where (𝑎𝑛) and (𝑏𝑛) are complex sequences, 𝜆 is an eigenparameter, and 𝛾𝑖, 𝛽𝑖∈ℂ for 𝑖=0, 1.http://dx.doi.org/10.1155/2011/608329 |
| spellingShingle | Murat Olgun Turhan Koprubasi Yelda Aygar Principal Functions of Non-Selfadjoint Difference Operator with Spectral Parameter in Boundary Conditions Abstract and Applied Analysis |
| title | Principal Functions of Non-Selfadjoint Difference Operator with Spectral Parameter in Boundary Conditions |
| title_full | Principal Functions of Non-Selfadjoint Difference Operator with Spectral Parameter in Boundary Conditions |
| title_fullStr | Principal Functions of Non-Selfadjoint Difference Operator with Spectral Parameter in Boundary Conditions |
| title_full_unstemmed | Principal Functions of Non-Selfadjoint Difference Operator with Spectral Parameter in Boundary Conditions |
| title_short | Principal Functions of Non-Selfadjoint Difference Operator with Spectral Parameter in Boundary Conditions |
| title_sort | principal functions of non selfadjoint difference operator with spectral parameter in boundary conditions |
| url | http://dx.doi.org/10.1155/2011/608329 |
| work_keys_str_mv | AT muratolgun principalfunctionsofnonselfadjointdifferenceoperatorwithspectralparameterinboundaryconditions AT turhankoprubasi principalfunctionsofnonselfadjointdifferenceoperatorwithspectralparameterinboundaryconditions AT yeldaaygar principalfunctionsofnonselfadjointdifferenceoperatorwithspectralparameterinboundaryconditions |