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arXiv · 1508.07954

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

Alexander Sakhnovich
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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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Alexander Sakhnovich. 2015-08-31. Inverse problems for self-adjoint Dirac systems: explicit solutions and stability of the procedure. https://doi.org/10.7153/oam-10-56

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