An inverse problem for the integro-differential Dirac system with partial information given on the convolution kernel
Spectral Theory
2018-02-14 v1
Abstract
An integro-differential Dirac system with an integral term in the form of convolution is considered. We suppose that the convolution kernel is known a priori on a part of the interval, and recover it on the remaining part, using a part of the spectrum. We prove the uniqueness theorem, provide an algorithm for the solution of the inverse problem together with necessary and sufficient conditions for its solvability.
Cite
@article{arxiv.1802.04761,
title = {An inverse problem for the integro-differential Dirac system with partial information given on the convolution kernel},
author = {Natalia P. Bondarenko},
journal= {arXiv preprint arXiv:1802.04761},
year = {2018}
}