Research Article

Half-Inverse Problem For Dirac Operator With Boundary And Transmission Conditions Dependent Spectral Parameter Polynomially

Volume: 40 Number: 4 December 31, 2019
EN

Half-Inverse Problem For Dirac Operator With Boundary And Transmission Conditions Dependent Spectral Parameter Polynomially

Abstract

 In this paper, half-inverse problem is considered for Dirac equations with boundary and finite number of transmission conditions depending polynomially on the spectral parameter, if the potential is given over the half of the considered interval and if one spectrum is known then, potential function  on the whole interval and the other coefficients of the considered problem can be determined uniquely.

Keywords

Supporting Institution

CÜBAP

Project Number

F-543

References

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  2. [2] Hald, O. H., Discontiuous inverse eigenvalue problems, Comm. Pure Appl. Math., 37 (1984) 539-577.
  3. [3] Buterin, S., On half inverse problem for differential pencils with the spectral parameter in boundary conditions, Tamkang J. Math. , 42 (2011) 355-364.
  4. [4] Özkan, A. S., Half inverse problem for a class of differential operator with eigenvalue dependent boundary and jump conditions, Journal of Advanced Research in Applied Mathematics, 4 (2011) 43-49.
  5. [5] Özkan, A. S., Half-inverse Sturm-Liouville problem with boundary and discontinuity conditions dependent on the spectral parameter, Inverse Problems in Science and Engineering. 22-5 (2013) 848-859.
  6. [6] Sakhnovich, L., Half inverse problems on the finite interval, Inverse Probl., 17 (2001) 527-532.
  7. [7] Wang, YP., Inverse problems for Sturm-Liouville operators with interior discontinuities and boundary conditions dependent on the spectral parameter, Math. Methods Appl. Sci., 36 (2013) 857-868.
  8. [8] Yang, C-Fu., Uniqueness theorems for differential pencils with eigenparameter boundary conditions and transmission conditions, 255 (2013) 2615-2635.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

December 31, 2019

Submission Date

October 25, 2019

Acceptance Date

December 18, 2019

Published in Issue

Year 2019 Volume: 40 Number: 4

APA
Güldü, Y., & Arslantaş, M. (2019). Half-Inverse Problem For Dirac Operator With Boundary And Transmission Conditions Dependent Spectral Parameter Polynomially. Cumhuriyet Science Journal, 40(4), 902-908. https://doi.org/10.17776/csj.637861

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