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Uniqueness of Solution of the Inverse Problem of Scattering Theory for a Fourth Order Differential Bundle with Multiple Characteristics

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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Bibliographic Details
Main Author: Orudzhev, E.G.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2010
Series:Журнал математической физики, анализа, геометрии
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/106635
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Summary: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.

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