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

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2010
• Main Author: Orudzhev, E.G.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106635
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...