Turkish Journal of Mathematics
DOI
10.3906/mat-1911-17
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.
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
