The local Borg–Marchenko uniqueness theorem for Dirac-type systems with locally smooth at the right endpoint rectangular potentials.

We consider self-adjoint Dirac-type systems with rectangular matrix potentials on the interval [0, b), where 0 < b ≤ ∞. We present a new proof of the local Borg–Marchenko uniqueness theorem. The high-energy asymptotics of the Weyl–Titchmarsh functions and the local Borg–Marchenko uniqueness theorem are derived for locally smooth potentials at the right endpoint. [ABSTRACT FROM AUTHOR]