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The Partial Inverse Spectral Problems for a Differential Operator

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Abstract

We firstly study two partial inverse problems for a second-order differential equation with a special boundary condition and recover this operator from the known spectral data. Then we investigate the missing eigenvalue problem for this operator.

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Funding

The third author was supported in part by the innovation project of university students of Jiangsu (202110298138H).

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Authors and Affiliations

  1. Department of Applied Mathematics, Nanjing Forestry University, Nanjing, 210037, Jiangsu, People’s Republic of China

    Wang Yu Ping

  2. Department of Mathematics, Tamkang University, Danshui Dist., New Taipei City, 25137, Taiwan

    Chung-Tsun Shieh

  3. Information and Computational Sciences, College of Science, Nanjing Forestry University, Nanjing, 210037, Jiangsu, People’s Republic of China

    Yong Tang

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  1. Wang Yu Ping
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  2. Chung-Tsun Shieh
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  3. Yong Tang
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Correspondence to Wang Yu Ping.

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Ping, W.Y., Shieh, CT. & Tang, Y. The Partial Inverse Spectral Problems for a Differential Operator. Results Math 78, 44 (2023). https://doi.org/10.1007/s00025-022-01819-w

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