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Determination of the Impulsive Dirac Systems from a Set of Eigenvalues

Author

Listed:
  • Ran Zhang

    (Department of Applied Mathematics, School of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China)

  • Chuanfu Yang

    (Department of Applied Mathematics, School of Science, Nanjing University of Science and Technology, Nanjing 210094, China)

  • Kai Wang

    (School of Internet of Things, Nanjing University of Posts and Telecommunications, Nanjing 210023, China)

Abstract

In this work, we consider the inverse spectral problem for the impulsive Dirac systems on ( 0 , π ) with the jump condition at the point π 2 . We conclude that the matrix potential Q ( x ) on the whole interval can be uniquely determined by a set of eigenvalues for two cases: (i) the matrix potential Q ( x ) is given on 0 , ( 1 + α ) π 4 ; (ii) the matrix potential Q ( x ) is given on ( 1 + α ) π 4 , π , where 0 < α < 1 .

Suggested Citation

  • Ran Zhang & Chuanfu Yang & Kai Wang, 2023. "Determination of the Impulsive Dirac Systems from a Set of Eigenvalues," Mathematics, MDPI, vol. 11(19), pages 1-6, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:19:p:4086-:d:1248350
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