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Traces and inverse nodal problems for Dirac-type integro-differential operators on a graph

Author

Listed:
  • Hu, Yi-teng
  • Bondarenko, Natalia Pavlovna
  • Shieh, Chung-Tsun
  • Yang, Chuan-fu

Abstract

In this paper, Dirac-type integro-differential operators on the star graph are studied. First, we derive the asymptotic expressions for the large eigenvalues. Second, the regularized trace formulae are obtained for these operators. We also provide asymptotic expressions for the nodal points and give a constructive procedure for solving an inverse nodal problem.

Suggested Citation

  • Hu, Yi-teng & Bondarenko, Natalia Pavlovna & Shieh, Chung-Tsun & Yang, Chuan-fu, 2019. "Traces and inverse nodal problems for Dirac-type integro-differential operators on a graph," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
    • Handle: RePEc:eee:apmaco:v:363:y:2019:i:c:20
    DOI: 10.1016/j.amc.2019.124606
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    Cited by:

    1. Sergey Buterin & Sergey Vasilev, 2023. "An Inverse Sturm–Liouville-Type Problem with Constant Delay and Non-Zero Initial Function," Mathematics, MDPI, vol. 11(23), pages 1-17, November.
    2. Buterin, S.A. & Malyugina, M.A. & Shieh, C.-T., 2021. "An inverse spectral problem for second-order functional-differential pencils with two delays," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    3. Buterin, Sergey, 2021. "Uniform stability of the inverse spectral problem for a convolution integro-differential operator," Applied Mathematics and Computation, Elsevier, vol. 390(C).
    4. Sergey Buterin, 2023. "On Recovering Sturm–Liouville-Type Operators with Global Delay on Graphs from Two Spectra," Mathematics, MDPI, vol. 11(12), pages 1-12, June.

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