Inverse Scattering Problem on the Axis for the Schrödinger Operator with Triangular 2 x 2 Matrix Potential. I. Main Theorem

Автор(и)

  • E.I. Zubkova Ukrainian State Academy of Railway Transport 7 Feyerbakh Sq., Kharkiv, 61050, Ukraine
  • F.S. Rofe-Beketov Mathematical Division, B. Verkin Institute for Low Temperature Physics & Engineering National Academy of Sciences of Ukraine 47 Lenin Ave., Kharkiv, 61103, Ukraine

Ключові слова:

scattering on the axis, inverse problem, triangular matrix potential.

Анотація

The necessary and sufficient conditions for solvability of ISP under consideration are obtained.

Mathematics Subject Classification: 47A40, 81U40.

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Zubkova, E.; Rofe-Beketov, F. Inverse Scattering Problem on the Axis for the Schrödinger Operator with Triangular 2 x 2 Matrix Potential. I. Main Theorem. Журн. мат. фіз. анал. геом. 2007, 3, 47-60.

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