Abstract
The half-inverse problem is studied for the Sturm–Liouville operator with an eigenparameter dependent boundary condition on a finite interval. We develop a reconstruction procedure and prove the existence theorem for solution of the inverse problem. Our method is based on interpolation of entire functions.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11871031
Award Identifier / Grant number: 11901304
Funding source: Ministry of Education and Science of the Russian Federation
Award Identifier / Grant number: 1.1660.2017/4.6
Funding source: Russian Foundation for Basic Research
Award Identifier / Grant number: 19-01-00102
Funding statement: The research work was supported in part by the National Natural Science Foundation of China (11871031, 11901304) and the author Bondarenko was supported by Grant 1.1660.2017/4.6 of the Russian Ministry of Education and Science, and by Grant 19-01-00102 of the Russian Foundation for Basic Research.
Acknowledgements
The authors would like to thank the referees for valuable comments.
References
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Articles in the same Issue
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- A non-iterative method for recovering the space-dependent source and the initial value simultaneously in a parabolic equation
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- Multi-frame super resolution via deep plug-and-play CNN regularization
- On the Hochstadt–Lieberman type problem with eigenparameter dependent boundary condition
- Inverse spectral problems for differential operators with non-separated boundary conditions