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...
Збережено в:
| Дата: | 2010 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2010
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/106635 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-106635 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1066352016-10-02T03:02:49Z Uniqueness of Solution of the Inverse Problem of Scattering Theory for a Fourth Order Differential Bundle with Multiple Characteristics Orudzhev, E.G. 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. 2010 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/106635 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Orudzhev, E.G. |
| spellingShingle |
Orudzhev, E.G. Uniqueness of Solution of the Inverse Problem of Scattering Theory for a Fourth Order Differential Bundle with Multiple Characteristics Журнал математической физики, анализа, геометрии |
| author_facet |
Orudzhev, E.G. |
| author_sort |
Orudzhev, E.G. |
| title |
Uniqueness of Solution of the Inverse Problem of Scattering Theory for a Fourth Order Differential Bundle with Multiple Characteristics |
| 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 |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Журнал математической физики, анализа, геометрии |
| work_keys_str_mv |
AT orudzheveg uniquenessofsolutionoftheinverseproblemofscatteringtheoryforafourthorderdifferentialbundlewithmultiplecharacteristics |
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2023-10-18T20:13:22Z |
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2023-10-18T20:13:22Z |
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1796149294879735808 |