On an inverse scattering problem for a class of Dirac operators with spectral parameter in the boundary condition
Journal of Mathematical Analysis and Applications(2012)
摘要
In this work, we consider the inverse scattering problem for a class of one dimensional Dirac operators on the semi-infinite interval with the boundary condition depending polynomially on a spectral parameter. The scattering data of the given problem is defined and its properties are examined. The main equation is derived, its solvability is proved and it is shown that the potential is uniquely recovered in terms of the scattering data. A generalization of the Marchenko method is given for a class of Dirac operator.
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关键词
Scattering data,Main equation,Dirac equation system,Inverse problem,Nonlinear parameter in the boundary condition,Uniqueness
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