环图上Sturm-Liouville算子的部分反谱问题

数学物理学报 ›› 2021, Vol. 41 ›› Issue (2): 289-295.

• 论文 • 下一篇

环图上Sturm-Liouville算子的部分反谱问题

官声玉¹(),吴东杰¹,MuratSat^2,*,杨传富^1,*

¹ 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

收稿日期:2020-01-14 出版日期:2021-04-26 发布日期:2021-04-29
通讯作者: MuratSat,杨传富 E-mail:guanshengyu@njust.edu.cn
作者简介:官声玉, E-mail: guanshengyu@njust.edu.cn
基金资助:
国家自然科学基金(11871031);江苏省自然科学基金(BK20201303)

A Partial Inverse Problem for the Sturm-Liouville Operator on Quantum Graphs with a Loop

Shengyu Guan¹(),Dongjie Wu¹,Sat Murat^2,*,Chuanfu Yang^1,*

¹ Department of Applied Mathematics, School of Science, Nanjing University of Science and Technology, Nanjing 210094
² Faculty of Art and Sciences, Department of Mathematics, Erzincan University, Erzincan, Turkey

Received:2020-01-14 Online:2021-04-26 Published:2021-04-29
Contact: Sat Murat,Chuanfu Yang E-mail:guanshengyu@njust.edu.cn
Supported by:
the NSFC(11871031);the Jiangsu NCF(BK20201303)

摘要/Abstract

摘要：

该文考虑量子环图上Sturm-Liouville算子.在一部分势函数已知情况下，通过谱数据重构未知势函数，并且给出其重构算法和唯一性定理.

关键词: 部分反问题, Sturm-Liouville算子, 量子图, Riesz基

Abstract:

This deals with the Sturm-Liouville operator on the quantum graphs with a loop. Given the potential on a part of edges, we try to recover the remaining potential from the subspectrum. The uniqueness theorem and a constructive algorithm for the solution of this partial inverse problem are provided.

Key words: Partial inverse spectral problem, Sturm-Liouville operator, Quantum graph, Riesz-basis

中图分类号:

O1751.1

官声玉,吴东杰,MuratSat,杨传富. 环图上Sturm-Liouville算子的部分反谱问题[J]. 数学物理学报, 2021, 41(2): 289-295.

Shengyu Guan,Dongjie Wu,Sat Murat,Chuanfu Yang. A Partial Inverse Problem for the Sturm-Liouville Operator on Quantum Graphs with a Loop[J]. Acta mathematica scientia,Series A, 2021, 41(2): 289-295.

图/表 1

参考文献 12

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环图上Sturm-Liouville算子的部分反谱问题

A Partial Inverse Problem for the Sturm-Liouville Operator on Quantum Graphs with a Loop

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