SpringerOpen Newsletter

Receive periodic news and updates relating to SpringerOpen.

Open Access Research

Inverse eigenvalue problem for a class of Dirac operators with discontinuous coefficient

Khanlar R Mamedov and Ozge Akcay*

Author Affiliations

Mathematics Department, Science and Letters Faculty, Mersin University, Mersin, 33343, Turkey

For all author emails, please log on.

Boundary Value Problems 2014, 2014:110  doi:10.1186/1687-2770-2014-110

Published: 13 May 2014

Abstract

In this paper, the inverse problem of recovering the coefficient of a Dirac operator is studied from the sequences of eigenvalues and normalizing numbers. The theorem on the necessary and sufficient conditions for the solvability of this inverse problem is proved and a solution algorithm of the inverse problem is given.

MSC: 34A55, 34L40.

Keywords:
Dirac operator; inverse problem; necessary and sufficient condition