On Dirac operator with boundary and transmission conditions depending Herglotz-Nevanlinna type function

Yalçın Güldü; Ebru Mişe; Yalçın Güldü; Ebru Mişe

doi:10.3934/math.2021219

AIMS Mathematics

2021, Volume 6, Issue 4: 3686-3702. doi: 10.3934/math.2021219

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Research article

On Dirac operator with boundary and transmission conditions depending Herglotz-Nevanlinna type function

Yalçın Güldü ^,,
Ebru Mişe

Sivas Cumhuriyet University, Department of Mathematics Sivas, Turkey

Received: 27 May 2020 Accepted: 11 January 2021 Published: 25 January 2021
MSC : 34A55, 34B24, 34L05

In this paper, an inverse problem is considered for Dirac equations with boundary and transmission conditions eigenvalue depending as rational function of Herglotz-Nevanlinna. We give some spectral properties of the problem and also it is shown that the coefficients of the problem are uniquely determined by Weyl function and by classical spectral data made up of eigenvalues and norming constants.
- Dirac equations,
- transmission condition,
- Herglotz-Nevanlinna type function,
- inverse problem
Citation: Yalçın Güldü, Ebru Mişe. On Dirac operator with boundary and transmission conditions depending Herglotz-Nevanlinna type function[J]. AIMS Mathematics, 2021, 6(4): 3686-3702. doi: 10.3934/math.2021219

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Abstract

In this paper, an inverse problem is considered for Dirac equations with boundary and transmission conditions eigenvalue depending as rational function of Herglotz-Nevanlinna. We give some spectral properties of the problem and also it is shown that the coefficients of the problem are uniquely determined by Weyl function and by classical spectral data made up of eigenvalues and norming constants.

References

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