Inverse Scattering on the Half Line for the Matrix Schrödinger Equation

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2018
• Main Authors: Aktosun, Tuncay, Weder, Ricardo
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/145874
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Inverse Scattering on the Half Line for the Matrix Schrödinger Equation / Tuncay Aktosun, Ricardo Weder // Журнал математической физики, анализа, геометрии. — 2018. — Т. 14, № 3. — С. 237-269. — Бібліогр.: 24 назв. — англ.

The matrix Schrödinger equation is considered on the half line with the general selfadjoint boundary condition at the origin described by two boundary matrices satisfying certain appropriate conditions. It is assumed that the matrix potential is integrable, is selfadjoint, and has a finite first mom...