Startseite Mathematik On the Hochstadt–Lieberman type problem with eigenparameter dependent boundary condition
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On the Hochstadt–Lieberman type problem with eigenparameter dependent boundary condition

  • Sheng-Yu Guan , Chuan-Fu Yang EMAIL logo , Natalia Bondarenko , Xiao-Chuan Xu und Yi-Teng Hu
Veröffentlicht/Copyright: 11. Juni 2020

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.

MSC 2010: 34A55; 34B24; 45C05

Award Identifier / Grant number: 11871031

Award Identifier / Grant number: 11901304

Award Identifier / Grant number: 1.1660.2017/4.6

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.

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Received: 2019-10-08
Revised: 2020-03-11
Accepted: 2020-05-05
Published Online: 2020-06-11
Published in Print: 2020-08-01

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