Atkinson类型的具有分布势函数的Sturm-Liouville问题的逆谱问题
Inverse Sturm-Liouville Problems with Distribution Potentials of Atkinson Type
DOI: 10.12677/AAM.2018.712183, PDF,    国家自然科学基金支持
作者: 张 亮, 敖继军：内蒙古工业大学理学院，内蒙古 呼和浩特
关键词: 逆谱问题；Sturm-Liouville问题；分布势函数；矩阵逆特征值问题；Inverse Spectral Problems； Sturm-Liouville Problems； Distribution Potentials； Inverse Eigenvalue Problems
摘要: 本文研究了Atkinson类型的具有分布势函数的Sturm-Liouville问题的逆谱问题，利用Jacobi矩阵和循环Jacobi矩阵的逆特征值问题的结论得到重构此类Sturm-Liouville问题的结论。
Abstract: In this paper, the inverse Sturm-Liouville problems with distribution potentials of Atkinson type are studied. We use the conclusions of the inverse eigenvalue problems of Jacobi matrix and cyclic Jacobi matrix to obtain the corresponding inverse Sturm-Liouville problems with distribution po-tentials which have a finite spectrum.
文章引用：张亮, 敖继军. Atkinson类型的具有分布势函数的Sturm-Liouville问题的逆谱问题[J]. 应用数学进展, 2018, 7(12): 1565-1573. https://doi.org/10.12677/AAM.2018.712183

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