Higher-order Sturm-Liouville problems with the same eigenvalues

被引：5

作者：

Mirzaei, Hanif ^{[1
]}

机构：

[1] Sahand Univ Technol, Fac Basic Sci, Tabriz, Iran

来源：

TURKISH JOURNAL OF MATHEMATICS | 2020年 / 44卷 / 02期

关键词：

Sturm-Liouville problem; eigenvalue; Darboux lemma; Equivalence relation; NUMERICAL-SOLUTION; UNIQUENESS;

D O I：

10.3906/mat-1911-17

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider self-adjoint Sturm-Liouville problem (SLP) of higher-order. We define an equivalence relation between second- and higher-order SLP. Using the Darboux lemma and equivalence relation we obtain the closed form of a family of SLP which have the same eigenvalues. Also, some spectral properties of this family of Sturm-Liouville problems are investigated.

引用

页码：409 / 417

页数：9

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