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Unique reconstruction of the inverse spectral problem with mixed data for AKNS operator

  • Zhaoying Wei EMAIL logo and Guangsheng Wei
Published/Copyright: April 26, 2025

Abstract

In this paper, the inverse spectral problem of the AKNS operator ( p , q ) defined on the interval [ 0 , 1 ] with the potential pair ( p , q ) being a priori known on the subinterval [ 0 , r m ] with 0 < r m < 1 2 is considered. An algorithm of reconstruction of the potential from the knowledge of a full spectrum together with a subset of the norming constants is established.

MSC 2020: 34A55; 34L40; 34L20

Award Identifier / Grant number: 11971284

Award Identifier / Grant number: 2020JM-537

Funding statement: The research was supported by the National Natural Science Foundation of China (No. 11971284) and Natural Science Foundation of Shaanxi Province (No. 2020JM-537).

Acknowledgements

The authors would like to thank the referees of this paper for their helpful comments and suggestions.

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Received: 2024-12-28
Revised: 2025-03-12
Accepted: 2025-03-12
Published Online: 2025-04-26
Published in Print: 2025-08-01

© 2025 Walter de Gruyter GmbH, Berlin/Boston

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