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Horváth-Type Theorems on a Star Graph with Mixed Boundary Conditions

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Abstract

In this paper, we deal with some partial inverse problems for the Sturm–Liouville operator on a star graph with Robin and/or Dirichlet boundary conditions in pendant vertices. It is shown that if all but one of the potentials are known a priori, then Horváth-type theorems hold. Our method is based on the related theory about Weyl function and the growth of entire functions.

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Acknowledgements

The research work was supported by the National Natural Science Foundation of China (11871031 and 11611530682).

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  1. Department of Applied Mathematics, School of Science, Nanjing University of Science and Technology, Nanjing, 210094, Jiangsu, People’s Republic of China

    Dai-Quan Liu & Chuan-Fu Yang

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  1. Dai-Quan Liu
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  2. Chuan-Fu Yang
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Correspondence to Chuan-Fu Yang.

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Liu, DQ., Yang, CF. Horváth-Type Theorems on a Star Graph with Mixed Boundary Conditions. Results Math 75, 16 (2020). https://doi.org/10.1007/s00025-019-1144-2

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  • DOI: https://doi.org/10.1007/s00025-019-1144-2

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