Mamedov, ‪Khanlar R.Çöl, Aynur2022-01-072022-01-072012Mamedov, K. R., & Çöl, A. (2012). On an inverse scattering problem for a class Dirac operator with discontinuous coefficient and nonlinear dependence on the spectral parameter in the boundary condition. Mathematical Methods in the Applied Sciences, 35(14), 1712-1720.https://hdl.handle.net/11494/3692On the positive semi-infinite interval, we obtained a generalization of the Marchenko method for a Dirac equation system with a discontinuous coefficient and a quadratic polynomial on a spectral parameter in the boundary condition. In this connection, we use an new integral representation of the Jost solution of equation systems, which does not have a triangular form. The scattering function of the problem is defined, and its properties are examined. The Marchenko-type main equation is obtained, and it is shown that the potential is uniquely recovered in terms the scattering function.eninfo:eu-repo/semantics/closedAccessScattering functionMarchenko-type equationDirac equation systemDiscontinuous coefficientNonlinear spectralparameterArticle35141712172010.1002/mma.2553Q1N/A