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Inverse Problems for Sturm–Liouville Equations with Boundary Conditions Linearly Dependent on the Spectral Parameter from Partial Information

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Abstract

In this paper, we study the inverse spectral problems for Sturm–Liouville equations with boundary conditions linearly dependent on the spectral parameter and show that the potential of such problem can be uniquely determined from partial information on the potential and parts of two spectra, or alternatively, from partial information on the potential and a subset of pairs of eigenvalues and the normalization constants of the corresponding eigenvalues.

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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, ROC

    Chung Tsun Shieh

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  1. Wang Yu Ping
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  2. Chung Tsun Shieh
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Correspondence to Wang Yu Ping.

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Ping, W.Y., Shieh, C.T. Inverse Problems for Sturm–Liouville Equations with Boundary Conditions Linearly Dependent on the Spectral Parameter from Partial Information. Results. Math. 65, 105–119 (2014). https://doi.org/10.1007/s00025-013-0333-7

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  • DOI: https://doi.org/10.1007/s00025-013-0333-7

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