Necessary and Sufficient Conditions for the Solvability of Inverse Problem for a Class of Dirac Operators
Spectral Theory
2014-04-02 v1 Mathematical Physics
math.MP
Abstract
In this paper, we consider a problem for the first order Dirac differential equations system with spectral parameter dependent in boundary condition. The asymptotic behaviors of eigenvalues, eigenfunctions and normalizing numbers of this system are investigated. The expansion formula with respect to eigenfunctions is obtained and Parseval equality is given. The main theorem on necessary and sufficient conditions for the solvabilty of inverse problem is proved and the algorithm of reconstruction of potential from spectral data (the sets of eigenvalues and normalizing numbers) is given.
Keywords
Cite
@article{arxiv.1404.0192,
title = {Necessary and Sufficient Conditions for the Solvability of Inverse Problem for a Class of Dirac Operators},
author = {Kh. R. Mamedov and O. Akcay},
journal= {arXiv preprint arXiv:1404.0192},
year = {2014}
}
Comments
19 pages