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Turkish Journal of Mathematics

Authors

HANIF MIRZAEI

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

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