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In this paper the inverse scattering problem is considered for a version of the one-dimensional Schrödinger equation with turning point on the half-line \((0, \infty)\). The scattering data of the problem is defined and the fundamental equation is derived. With the help of the derived fundamental equation, in terms of the scattering data, the potential is recovered uniquely.

The inverse scattering problem of some Schrödinger type equation with turning point