Necessary and Sufficient Conditions for the Solvability of Inverse Problem for a Class of Dirac Operators
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.
 Publication:

arXiv eprints
 Pub Date:
 April 2014
 DOI:
 10.48550/arXiv.1404.0192
 arXiv:
 arXiv:1404.0192
 Bibcode:
 2014arXiv1404.0192M
 Keywords:

 Mathematics  Spectral Theory;
 Mathematical Physics;
 34A55;
 34L40
 EPrint:
 19 pages