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双环图上的唯一性及其重构
Uniqueness and Reconstruction of the Double Loop Graph
本文研究带双环图上的Sturm-Liouville微分算子反问题，该算子在内部顶点处满足标准匹配条件.在求得特征值渐进式的基础上，通过子谱构成的向量函数系的完备性及其Riesz基性质重构未知势函数，并且给出解的唯一性定理和重构算法.
We provide a method for solving inverse Sturm-Liouville problem on the double loop graph. We deduce asymptotic of eigenvalues for double loop graph with the standard matching condition at the contact vertex, and then reconstruct the unknown potential by the Riesz basis constructed from the subspectrum, and finally present the uniqueness theorem and reconsbruction algorithm.
部分反问题 / Sturm-Liouville算子 / 双环图 / 标准匹配条件 / Riesz基 {{custom_keyword}} /
partial inverse spectral problem / Sturm-Liouville operator / double loop graph / standard matching condition / Rieszbasis {{custom_keyword}} /
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国家自然科学基金资助项目（11871031）；江苏省自然科学基金资助项目（BK20201303）
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