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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

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

Published: 13 May 2014


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.

Dirac operator; inverse problem; necessary and sufficient condition