On the Direct and Inverse Scattering for the Matrix Schr Odinger Equation on the Line
نویسندگان
چکیده
The one-dimensional matrix Schrr odinger equation is considered when the matrix potential is selfadjoint and satisses certain general restrictions. The small-energy asymptotics of the scattering solutions and scattering coeecients are derived. The continuity of the scattering coeecients is established. The unique solvability of the corresponding matrix Marchenko integral equations is proved. Short title: The 1-D matrix Schrr odinger equation 1
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