特征参数相关Sturm-Liouville问题的部分逆节点问题

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2026-07-15 DOI:10.1007/s10255-026-0092-3

Dong-Jie Wu, Chuan-Fu Yang, Murat Sat

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引用次数: 0

摘要

本文研究了区间[0,1]上具有特征参数依赖边界条件的Sturm-Liouville算子的逆节点问题。证明了在子区间\([a_1,a_2]\subset[0,1]\, (a_1<\tfrac{1}{2}<a_2)\)中节点集的孪生密集子集唯一地决定了边界条件的所有参数和区间[0,1]上的势（直至一个常数）。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Partial Inverse Nodal Problems for Eigenparameter Dependent Sturm-Liouville Problems

In this work, we are concerned with inverse nodal problems of Sturm-Liouville operators with eigenparameter dependent boundary conditions on the interval [0, 1]. It is shown that a twin dense subset of the nodal set in a subinterval \([a_1,a_2]\subset[0,1]\, (a_1<\tfrac{1}{2}<a_2)\) uniquely determines all parameters of the boundary conditions and the potential (up to a constant) on the interval [0, 1].

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来源期刊

Acta Mathematicae Applicatae Sinica, English Series 数学-应用数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Acta Mathematicae Applicatae Sinica (English Series) is a quarterly journal established by the Chinese Mathematical Society. The journal publishes high quality research papers from all branches of applied mathematics, and particularly welcomes those from partial differential equations, computational mathematics, applied probability, mathematical finance, statistics, dynamical systems, optimization and management science.