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, H (2020). Higher-order Sturm-Liouville problems with the same eigenvalues. Turkish Journal of Mathematics 44 (2): 409-417. https://doi.org/10.3906/mat-1911-17
