Inverse Problem for Interior Spectral Data of the Dirac Operator with Discontinuous Conditions

Authors

  • Mohammad Shahriari Department of Mathematics, Faculty of Science, University of Maragheh, P.O. Box 55136-553, Maragheh, Iran.
  • Mostafa Fallahi Department of Mathematics, Faculty of Science, University of Maragheh, P.O. Box 55136-553, Maragheh, Iran.
  • Reza Akbari Department of Mathematical Sciences, Payame Noor University, Iran.
Abstract:

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.

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Journal title

volume 14  issue 1

pages  185- 197

publication date 2019-04-01

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