Inverse spectral problems for first order integro-differential operators
Abstract Inverse spectral problems are studied for the first order integro-differential operators on a finite interval. Properties of spectral characteristic are established, and the uniqueness theorem is proved for this class of inverse problems.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-06-01
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| Series: | Boundary Value Problems |
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| Online Access: | http://link.springer.com/article/10.1186/s13661-017-0831-8 |
| _version_ | 1818013036187746304 |
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| author | Vjacheslav Yurko |
| author_facet | Vjacheslav Yurko |
| author_sort | Vjacheslav Yurko |
| collection | DOAJ |
| description | Abstract Inverse spectral problems are studied for the first order integro-differential operators on a finite interval. Properties of spectral characteristic are established, and the uniqueness theorem is proved for this class of inverse problems. |
| first_indexed | 2024-04-14T06:28:16Z |
| format | Article |
| id | doaj.art-c014d6d7c0274a0388afcc01568a0664 |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-04-14T06:28:16Z |
| publishDate | 2017-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-c014d6d7c0274a0388afcc01568a06642022-12-22T02:07:43ZengSpringerOpenBoundary Value Problems1687-27702017-06-01201711710.1186/s13661-017-0831-8Inverse spectral problems for first order integro-differential operatorsVjacheslav Yurko0Department of Mathematics, Saratov State UniversityAbstract Inverse spectral problems are studied for the first order integro-differential operators on a finite interval. Properties of spectral characteristic are established, and the uniqueness theorem is proved for this class of inverse problems.http://link.springer.com/article/10.1186/s13661-017-0831-8integro-differential operatorsinverse spectral problemsuniqueness theorem |
| spellingShingle | Vjacheslav Yurko Inverse spectral problems for first order integro-differential operators Boundary Value Problems integro-differential operators inverse spectral problems uniqueness theorem |
| title | Inverse spectral problems for first order integro-differential operators |
| title_full | Inverse spectral problems for first order integro-differential operators |
| title_fullStr | Inverse spectral problems for first order integro-differential operators |
| title_full_unstemmed | Inverse spectral problems for first order integro-differential operators |
| title_short | Inverse spectral problems for first order integro-differential operators |
| title_sort | inverse spectral problems for first order integro differential operators |
| topic | integro-differential operators inverse spectral problems uniqueness theorem |
| url | http://link.springer.com/article/10.1186/s13661-017-0831-8 |
| work_keys_str_mv | AT vjacheslavyurko inversespectralproblemsforfirstorderintegrodifferentialoperators |