Recovering Dirac systems with singularities in interior points
Spectral Theory
2015-02-02 v1
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.
Cite
@article{arxiv.1501.07763,
title = {Recovering Dirac systems with singularities in interior points},
author = {Oleg Gorbunov and Vjacheslav Yurko},
journal= {arXiv preprint arXiv:1501.07763},
year = {2015}
}
Comments
22 pages