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<p>This paper is devoted to the study of a partial inverse spectral problem for Sturm–Liouville operators with frozen arguments on a star-shaped graph. The potentials are assumed to be known a priori on all edges except one, and the objective is to reconstruct the unknown potential on the remaining edge using a subset of the spectral data. A constructive algorithm for solving this problem is presented, which relies on the Riesz basis property of a system of vector functions.</p>

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Partial Inverse Spectral Problems for Sturm-Liouville Operators with Frozen Arguments on a Star-Shaped Graph

  • 期刊论文

  • 发表日期：

    2025年9月9日

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  • Chung-Tsun Shieh,
  • Tzong-Mo Tsai,
  • Meng-Nien Wu

摘要

This paper is devoted to the study of a partial inverse spectral problem for Sturm–Liouville operators with frozen arguments on a star-shaped graph. The potentials are assumed to be known a priori on all edges except one, and the objective is to reconstruct the unknown potential on the remaining edge using a subset of the spectral data. A constructive algorithm for solving this problem is presented, which relies on the Riesz basis property of a system of vector functions.