In this paper, it is examined on the half line the inverse problem of
scattering theory for a class Dirac operator with discontinuous coefficient
and a spectral parameter in the boundary condition . The scattering
function is defined as scattering data and its properties are investigated.
It is obtained Gelfand-Levitan-Marchenko type main equation
which plays an important role in the solution of inverse problem and it
is shown the uniqueness of the solution of the inverse problem by using
Fredholm alternative
