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arXiv · 1501.07763

Recovering Dirac systems with singularities in interior points

Oleg Gorbunov·Vjacheslav Yurko
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Abstract

We study the non-selfadjoint Dirac system on a finite interval having non-integrable regular singularities in interior points with additional matching conditions at these points. Properties of spectral characteristics are established, and the inverse spectral problem is investigated. We provide a constructive procedure for the solution of the inverse problem, and prove its uniqueness. Moreover, necessary and sufficient conditions for the global solvability of this nonlinear inverse problem are obtained.

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Oleg Gorbunov, Vjacheslav Yurko. 2015-01-30. Recovering Dirac systems with singularities in interior points. https://arxiv.org/abs/1501.07763

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