双环图上的唯一性及其重构

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双环图上的唯一性及其重构官声玉¹, 杨传富¹, Murat SAT²1. 南京理工大学理学院南京 210094;
2. Faculty of Art and Sciences, Department of Mathematics, Erzincan University, Erzincan, Turkey Uniqueness and Reconstruction of the Double Loop Graph Sheng Yu GUAN¹, Chuan Fu YANG¹, Murat SAT²1. School of Science, Nanjing University of Science and Technology, Nanjing 210094, P. R. China;
2. Faculty of Art and Sciences, Department of Mathematics, Erzincan University, Erzincan, Turkey

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摘要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.

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收稿日期: 2020-06-28

MR (2010):

O177.2

基金资助: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）

作者简介: 官声玉,E-mail:guanshengyu@njust.edu.cn;杨传富,E-mail:chuanfuyang@njust.edu.cn;Murat SAT,E-mail:murat-sat24@hotmail.com

引用本文:

官声玉, 杨传富, Murat SAT. 双环图上的唯一性及其重构[J]. 数学学报, 2021, 64(6): 991-998. Sheng Yu GUAN, Chuan Fu YANG, Murat SAT. Uniqueness and Reconstruction of the Double Loop Graph. Acta Mathematica Sinica, Chinese Series, 2021, 64(6): 991-998.

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