Mohammad Shahriari - Department of Mathematics, Faculty of Science, University of Maragheh, P.O. Box ۵۵۱۳۶-۵۵۳, Maragheh, Iran.
Reza Akbari - Department of Mathematical Sciences, Payame Noor University, Iran.
Mostafa Fallahi - Department of Mathematics, Faculty of Science, University of Maragheh, P.O. Box ۵۵۱۳۶-۵۵۳, Maragheh, Iran.

In this paper, we study the inverse problem for Dirac differential operators with  discontinuity conditions in a compact interval. It is shown that the potential functions can be uniquely determined by the value of the potential on some interval and parts of two sets of eigenvalues. Also, it is shown that the potential function can be uniquely determined by a part of a set of values of eigenfunctions at an interior point and  parts of one or two  sets of eigenvalues.

Dirac operator, Inverse spectral theory, Discontinuous conditions