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ABSTRACT
Inverse spectral problems are considered for the Dirac operator with boundary conditions depending polynomially on the spectral parameter and with a finite number of transmission conditions. We investigate two inverse problems of recovering the operator either from the so-called Weyl function or from two spectra. Furthermore, we also extend Hochstadt–Lieberman theorem to our cases.
Acknowledgements
The authors would like to thank the referees for careful reading of the manuscript and helping us to improve the presentation by providing valuable and insightful comments.
Disclosure statement
No potential conflict of interest was reported by the authors.
Additional information
Funding
The research was supported in part by the National Natural Science Foundation of China (11601299, 11571212, 11471004), and the Fundamental Research Funds for the Central Universities (GK201701001).