Recovering Dirac systems with singularities in interior points

2015/01/30 by Gorbunov, Oleg, Yurko, Vjacheslav
#34A55 #34B30 #34L40 #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1501.07763

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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