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<p>This paper investigates inverse problems associated with Dirac-Bessel operators on a star-shaped graph. First, we introduce the Weyl vector which is a generalization of the Weyl function for the Dirac-Bessel operator on an interval. We then derive the resolvent representation and the corresponding Green matrix. Using the Green matrix, we establish the asymptotic behavior of the Weyl solution. Based on these results, we prove that the operator can be uniquely determined by the Weyl vector.</p>

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Inverse Problems For Dirac-Bessel Operators On a Star-shaped Graph

  • 期刊论文

  • 发表日期：

    2025年11月4日

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  • Yu Liu,
  • Guoliang Shi,
  • Jun Yan

摘要

This paper investigates inverse problems associated with Dirac-Bessel operators on a star-shaped graph. First, we introduce the Weyl vector which is a generalization of the Weyl function for the Dirac-Bessel operator on an interval. We then derive the resolvent representation and the corresponding Green matrix. Using the Green matrix, we establish the asymptotic behavior of the Weyl solution. Based on these results, we prove that the operator can be uniquely determined by the Weyl vector.