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arXiv · 2506.20569

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

Chung-Tsun Shieh·Tzong-Mo Tsai·Meng-Nien Wu
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Abstract

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.

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Chung-Tsun Shieh, Tzong-Mo Tsai, Meng-Nien Wu. 2025-06-25. Partial Inverse Spectral Problems for Sturm-Liouville Operators with Frozen Arguments on a Star-Shaped Graph. https://arxiv.org/abs/2506.20569

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