An Inverse Spectral Problem for the Matrix Sturm-Liouville Operator with a Bessel-Type Singularity
The inverse problem by the Weyl matrix is studied for the matrix Sturm-Liouville equation on a finite interval with a Bessel-type singularity in the end of the interval. We construct special fundamental systems of solutions for this equation and prove the uniqueness theorem of the inverse problem.
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2015/647396 |
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| _version_ | 1849684513110622208 |
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| author | Natalia Bondarenko |
| author_facet | Natalia Bondarenko |
| author_sort | Natalia Bondarenko |
| collection | DOAJ |
| description | The inverse problem by the Weyl matrix is studied for the matrix Sturm-Liouville equation on a finite interval with a Bessel-type singularity in the end of the interval. We construct special fundamental systems of solutions for this equation and prove the uniqueness theorem of the inverse problem. |
| format | Article |
| id | doaj-art-c0d9e12d01b64ed8aeee62bc040b9302 |
| institution | DOAJ |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-c0d9e12d01b64ed8aeee62bc040b93022025-08-20T03:23:26ZengWileyInternational Journal of Differential Equations1687-96431687-96512015-01-01201510.1155/2015/647396647396An Inverse Spectral Problem for the Matrix Sturm-Liouville Operator with a Bessel-Type SingularityNatalia Bondarenko0Department of Mechanics and Mathematics, Saratov State University, Astrakhanskaya 83, Saratov 410012, RussiaThe inverse problem by the Weyl matrix is studied for the matrix Sturm-Liouville equation on a finite interval with a Bessel-type singularity in the end of the interval. We construct special fundamental systems of solutions for this equation and prove the uniqueness theorem of the inverse problem.http://dx.doi.org/10.1155/2015/647396 |
| spellingShingle | Natalia Bondarenko An Inverse Spectral Problem for the Matrix Sturm-Liouville Operator with a Bessel-Type Singularity International Journal of Differential Equations |
| title | An Inverse Spectral Problem for the Matrix Sturm-Liouville Operator with a Bessel-Type Singularity |
| title_full | An Inverse Spectral Problem for the Matrix Sturm-Liouville Operator with a Bessel-Type Singularity |
| title_fullStr | An Inverse Spectral Problem for the Matrix Sturm-Liouville Operator with a Bessel-Type Singularity |
| title_full_unstemmed | An Inverse Spectral Problem for the Matrix Sturm-Liouville Operator with a Bessel-Type Singularity |
| title_short | An Inverse Spectral Problem for the Matrix Sturm-Liouville Operator with a Bessel-Type Singularity |
| title_sort | inverse spectral problem for the matrix sturm liouville operator with a bessel type singularity |
| url | http://dx.doi.org/10.1155/2015/647396 |
| work_keys_str_mv | AT nataliabondarenko aninversespectralproblemforthematrixsturmliouvilleoperatorwithabesseltypesingularity AT nataliabondarenko inversespectralproblemforthematrixsturmliouvilleoperatorwithabesseltypesingularity |