Uniqueness of Solution of the Inverse Problem of Scattering Theory for a Fourth Order Differential Bundle with Multiple Characteristics
The system of four equations of Marchenko type allowing to restore the bundle by the scattering matrix is derived for a fourth order di®erential bundle in L₂ (0;+∞) in the case of multiple ±i roots of the main characteristic polynomial. The uniqueness of solution of the inverse problem is proved whe...
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| Veröffentlicht in: | Журнал математической физики, анализа, геометрии |
|---|---|
| Datum: | 2010 |
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| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2010
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/106635 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Uniqueness of Solution of the Inverse Problem of Scattering Theory for a Fourth Order Differential Bundle with Multiple Characteristics / E.G. Orudzhev // Журнал математической физики, анализа, геометрии. — 2010. — Т. 6, № 1. — С. 84-95. — Бібліогр.: 4 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-106635 |
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Orudzhev, E.G. 2016-10-01T15:10:12Z 2016-10-01T15:10:12Z 2010 Uniqueness of Solution of the Inverse Problem of Scattering Theory for a Fourth Order Differential Bundle with Multiple Characteristics / E.G. Orudzhev // Журнал математической физики, анализа, геометрии. — 2010. — Т. 6, № 1. — С. 84-95. — Бібліогр.: 4 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106635 The system of four equations of Marchenko type allowing to restore the bundle by the scattering matrix is derived for a fourth order di®erential bundle in L₂ (0;+∞) in the case of multiple ±i roots of the main characteristic polynomial. The uniqueness of solution of the inverse problem is proved when the bundle has a pure continuous spectrum. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Uniqueness of Solution of the Inverse Problem of Scattering Theory for a Fourth Order Differential Bundle with Multiple Characteristics Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Uniqueness of Solution of the Inverse Problem of Scattering Theory for a Fourth Order Differential Bundle with Multiple Characteristics |
| spellingShingle |
Uniqueness of Solution of the Inverse Problem of Scattering Theory for a Fourth Order Differential Bundle with Multiple Characteristics Orudzhev, E.G. |
| title_short |
Uniqueness of Solution of the Inverse Problem of Scattering Theory for a Fourth Order Differential Bundle with Multiple Characteristics |
| title_full |
Uniqueness of Solution of the Inverse Problem of Scattering Theory for a Fourth Order Differential Bundle with Multiple Characteristics |
| title_fullStr |
Uniqueness of Solution of the Inverse Problem of Scattering Theory for a Fourth Order Differential Bundle with Multiple Characteristics |
| title_full_unstemmed |
Uniqueness of Solution of the Inverse Problem of Scattering Theory for a Fourth Order Differential Bundle with Multiple Characteristics |
| title_sort |
uniqueness of solution of the inverse problem of scattering theory for a fourth order differential bundle with multiple characteristics |
| author |
Orudzhev, E.G. |
| author_facet |
Orudzhev, E.G. |
| publishDate |
2010 |
| language |
English |
| container_title |
Журнал математической физики, анализа, геометрии |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
The system of four equations of Marchenko type allowing to restore the bundle by the scattering matrix is derived for a fourth order di®erential bundle in L₂ (0;+∞) in the case of multiple ±i roots of the main characteristic polynomial. The uniqueness of solution of the inverse problem is proved when the bundle has a pure continuous spectrum.
|
| issn |
1812-9471 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/106635 |
| citation_txt |
Uniqueness of Solution of the Inverse Problem of Scattering Theory for a Fourth Order Differential Bundle with Multiple Characteristics / E.G. Orudzhev // Журнал математической физики, анализа, геометрии. — 2010. — Т. 6, № 1. — С. 84-95. — Бібліогр.: 4 назв. — англ. |
| work_keys_str_mv |
AT orudzheveg uniquenessofsolutionoftheinverseproblemofscatteringtheoryforafourthorderdifferentialbundlewithmultiplecharacteristics |
| first_indexed |
2025-11-27T16:47:52Z |
| last_indexed |
2025-11-27T16:47:52Z |
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