Spectral analysis for differential operators with singularities
Nonselfadjoint boundary value problems for second-order differential equations on a finite interval with nonintegrable singularities inside the interval are considered under additional sewing conditions for solutions at the singular point. We study properties of the spectrum, prove the completeness...
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337504310055 |
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| _version_ | 1850156953736577024 |
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| author | Vjacheslav Anatoljevich Yurko |
| author_facet | Vjacheslav Anatoljevich Yurko |
| author_sort | Vjacheslav Anatoljevich Yurko |
| collection | DOAJ |
| description | Nonselfadjoint boundary value problems for second-order differential equations on a finite interval with nonintegrable singularities inside the interval are considered under additional sewing conditions for solutions at the singular point. We study properties of the spectrum, prove the completeness of eigen- and associated functions, and investigate the inverse problem of recovering the boundary value problem from its spectral characteristics. |
| format | Article |
| id | doaj-art-3349d9d697a94acb971bf2cfac898691 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3349d9d697a94acb971bf2cfac8986912025-08-20T02:24:21ZengWileyAbstract and Applied Analysis1085-33751687-04092004-01-012004216518210.1155/S1085337504310055Spectral analysis for differential operators with singularitiesVjacheslav Anatoljevich Yurko0Department of Mathematics, Saratov State University, Astrakhanskaya 83, Saratov 410026, RussiaNonselfadjoint boundary value problems for second-order differential equations on a finite interval with nonintegrable singularities inside the interval are considered under additional sewing conditions for solutions at the singular point. We study properties of the spectrum, prove the completeness of eigen- and associated functions, and investigate the inverse problem of recovering the boundary value problem from its spectral characteristics.http://dx.doi.org/10.1155/S1085337504310055 |
| spellingShingle | Vjacheslav Anatoljevich Yurko Spectral analysis for differential operators with singularities Abstract and Applied Analysis |
| title | Spectral analysis for differential operators with singularities |
| title_full | Spectral analysis for differential operators with singularities |
| title_fullStr | Spectral analysis for differential operators with singularities |
| title_full_unstemmed | Spectral analysis for differential operators with singularities |
| title_short | Spectral analysis for differential operators with singularities |
| title_sort | spectral analysis for differential operators with singularities |
| url | http://dx.doi.org/10.1155/S1085337504310055 |
| work_keys_str_mv | AT vjacheslavanatoljevichyurko spectralanalysisfordifferentialoperatorswithsingularities |