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Title: The scattering problem for nonlocal potentials

We solve the direct and inverse scattering problems for integro-differential operators which are one-dimensional perturbations of the self-adjoint second derivative operator on the half-axis. We also describe the scattering data for this class of operators. Bibliography: 28 titles.
Authors:
 [1]
  1. B.Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Khar'kov (Ukraine)
Publication Date:
OSTI Identifier:
22364219
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 205; Journal Issue: 11; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; INTEGRO-DIFFERENTIAL EQUATIONS; INVERSE SCATTERING PROBLEM; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; NONLOCAL POTENTIAL; ONE-DIMENSIONAL CALCULATIONS; PERTURBATION THEORY; SCATTERING