Determination of the Impulsive Dirac Systems from a Set of Eigenvalues

Ran Zhang, Chuanfu Yang and Kai Wang ()
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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

Mathematics, 2023, vol. 11, issue 19, 1-6

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 .

Keywords: impulsive dirac operator; eigenvalue; inverse spectral problem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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