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
1. Verfasser: Orudzhev, E.G.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2010
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
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author Orudzhev, E.G.
author_facet Orudzhev, E.G.
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.
collection DSpace DC
container_title Журнал математической физики, анализа, геометрии
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.
first_indexed 2025-11-27T16:47:52Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1812-9471
language English
last_indexed 2025-11-27T16:47:52Z
publishDate 2010
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
record_format dspace
spelling 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
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spellingShingle Uniqueness of Solution of the Inverse Problem of Scattering Theory for a Fourth Order Differential Bundle with Multiple Characteristics
Orudzhev, E.G.
title 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_short 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
url https://nasplib.isofts.kiev.ua/handle/123456789/106635
work_keys_str_mv AT orudzheveg uniquenessofsolutionoftheinverseproblemofscatteringtheoryforafourthorderdifferentialbundlewithmultiplecharacteristics