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Inverse problems for self-adjoint Dirac systems: explicit solutions and stability of the procedure

Published 31 Aug 2015 in math.SP, math.CA, and math.OC | (1508.07954v1)

Abstract: A procedure to recover explicitly self-adjoint matrix Dirac systems on semi-axis (with both discrete and continuous components of spectrum) from rational Weyl functions is considered. Its stability is proved. GBDT version of Baecklund-Darboux transformation and various important results on Riccati equations are used for this purpose.

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