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On the Reconstruction of a Boundary Value Problem from Incomplete Nodal Data

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Abstract

In this paper, the reconstruction of a differential operator from incomplete spectral characteristics is concerned. We prove that coefficients of a second-order differential equation with the eigen-parameter appearing at the right-end boundary condition can be uniquely determined from incomplete nodal data. The new results in this paper are unlike to the known results for the classical Sturm-Liouville operator in [21].

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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

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  1. Wang Yu Ping
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Correspondence to Wang Yu Ping.

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Ping, W.Y., Shieh, CT. On the Reconstruction of a Boundary Value Problem from Incomplete Nodal Data. Results Math 78, 94 (2023). https://doi.org/10.1007/s00025-023-01875-w

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