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Inverse resonance problems with the discontinuous conditions

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Abstract

In this paper, we consider the inverse resonance problems for the discontinuous and non-selfadjoint Sturm-Liouville problem. We prove the uniqueness theorem and provide a reconstructive algorithm for the potential by using the Cauchy data and Weyl function.

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Acknowledgement

The authors would like to thank the referees for valuable comments.

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Authors and Affiliations

  1. Department of Mathematics, School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing, 210094, China

    Ran Zhang & Chuan-fu Yang

  2. Department of Mathematics, School of Science, Nanjing University of Posts and Telecommunications, Nanjing, 210023, China

    Ran Zhang

  3. Department of Mathematics, Faculty of Art and Sciences, Erzincan Binali Yildirim University, Erzincan, Turkey

    Murat Sat

Authors
  1. Ran Zhang
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  2. Murat Sat
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  3. Chuan-fu Yang
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Corresponding author

Correspondence to Chuan-fu Yang.

Additional information

The research work was supported in part by the National Natural Science Foundation of China (11871031) and by the Natural Science Foundation of the Jiangsu Province of China(BK 20201303). Ran Zhang was supported in part by Postgraduate Research and Practice Innovation Program of Jiangsu Province (KYCX20_0245).

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Zhang, R., Sat, M. & Yang, Cf. Inverse resonance problems with the discontinuous conditions. Appl. Math. J. Chin. Univ. 37, 530–545 (2022). https://doi.org/10.1007/s11766-022-4004-x

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  • DOI: https://doi.org/10.1007/s11766-022-4004-x

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