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Information × Registration Number 2120U002302, Article popup.category Стаття Title popup.author popup.publication 31-08-2020 popup.source_user Український католицький університет popup.source https://hdl.handle.net/20.500.14570/2713 popup.publisher IOP Publishing Description In this paper, we study the inverse scattering problem for energy-dependent Schrödinger equations on the half-line with energy-dependent boundary conditions at the origin. Under certain positivity and very mild regularity assumptions, we transform this scattering problem to the one for non-canonical Dirac systems and show that, in turn, the latter can be placed within the known scattering theory for ZS-AKNS systems. This allows us to give a complete description of the corresponding scattering functions S for the class of problems under consideration and justify an algorithm of reconstructing the problem from S. popup.nrat_date 2025-03-31 Close