Isospectral sixth order Sturm-Liouville eigenvalue problems

Document Type : Research Paper


Faculty of Basic Sciences, Sahand University of Technology, Tabriz, Iran.


‎In this research, we introduce an approach to find a family of sixth order SturmLiouville problems having the same spectrum. Using Darboux Lemma and the fact that any second order Sturm-Liouville problem with the Dirichlet boundary conditions is equivalent to a sixth order Sturm-Liouville problem, the considered problems are formulated.