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arXiv · 1510.00793

Skew-selfadjoint Dirac systems: stability of the procedure of explicit solving the inverse problem

B. Fritzsche·B. Kirstein·I. Ya. Roitberg·A. L. Sakhnovich
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Abstract

Procedures to recover explicitly discrete and continuous skew-selfadjoint Dirac systems on semi-axis from rational Weyl matrix functions are considered. Their stability is shown. Some new facts on asymptotics of pseudo-exponential potentials (i.e., of explicit solutions of inverse problems) are proved as well. GBDT version of Backlund-Darboux transformation, methods from system theory and results on algebraic Riccati equations are used for this purpose.

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B. Fritzsche, B. Kirstein, I. Ya. Roitberg, A. L. Sakhnovich. 2016-01-31. Skew-selfadjoint Dirac systems: stability of the procedure of explicit solving the inverse problem. https://doi.org/10.1016/j.laa.2017.07.034

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