Abstract
In this paper, we investigate an inverse problem for non-selfadjoint Dirac operator with eigenparameter dependent boundary conditions and finite general transmission conditions. We obtain the uniqueness theorem by the generalized norming constants. Moreover, we give two reconstruction algorithms for the coefficient functions and the coefficients of the conditions by the method of spectral mappings.
Funding source: Natural Science Foundation of Shandong Province
Award Identifier / Grant number: ZR2023MA023
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 12401160
Funding statement: This research is supported by Startup Fund of Shanxi University of Electronic Science and Technology (Grant No. 2024RKJ006), Natural Science Foundation of Shandong Province (Grant No. ZR2023MA023), National Natural Science Foundation of China (Grant No. 12401160) and Guangdong Provincial Featured Innovation Projects of High School (Grant No. 2023KTSCX067).
Acknowledgements
The authors are grateful to the referees for his/her careful reading and helpful suggestions which improved and strengthened the presentation of this manuscript.
References
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Articles in the same Issue
- Frontmatter
- An inverse problem for non-selfadjoint Dirac operator with transmission conditions at finite interior points
- Inverse Sturm–Liouville problem with polynomials in the boundary condition and multiple eigenvalues
- Blow-up of solutions to some classes of ill-posed operator equations and a growth quantification result
- On an inverse problem with high-order overdetermination conditions
- Two regularization methods for identifying the source term of Caputo–Hadamard type time fractional diffusion-wave equation
- Integrating the probe and singular sources methods: III. Mixed obstacle case
- Stability estimate and the Tikhonov regularization method for the Kuramoto–Sivashinsky equation backward in time
- Continuation of solutions of elliptic systems from discrete sets with application to geometry of surfaces
Articles in the same Issue
- Frontmatter
- An inverse problem for non-selfadjoint Dirac operator with transmission conditions at finite interior points
- Inverse Sturm–Liouville problem with polynomials in the boundary condition and multiple eigenvalues
- Blow-up of solutions to some classes of ill-posed operator equations and a growth quantification result
- On an inverse problem with high-order overdetermination conditions
- Two regularization methods for identifying the source term of Caputo–Hadamard type time fractional diffusion-wave equation
- Integrating the probe and singular sources methods: III. Mixed obstacle case
- Stability estimate and the Tikhonov regularization method for the Kuramoto–Sivashinsky equation backward in time
- Continuation of solutions of elliptic systems from discrete sets with application to geometry of surfaces