Turkish Journal of Mathematics
Abstract
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.
DOI
10.3906/mat-1911-17
Keywords
Sturm-Liouville problem, eigenvalue, Darboux lemma, Equivalence relation
First Page
409
Last Page
417
Recommended Citation
MIRZAEI, HANIF
(2020)
"Higher-order Sturm-Liouville problems with the same eigenvalues,"
Turkish Journal of Mathematics: Vol. 44:
No.
2, Article 6.
https://doi.org/10.3906/mat-1911-17
Available at:
https://journals.tubitak.gov.tr/math/vol44/iss2/6
