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.


Volume 8, Issue 4
November 2020
Pages 762-769
  • Receive Date: 22 June 2019
  • Revise Date: 14 August 2019
  • Accept Date: 25 August 2019
  • First Publish Date: 01 November 2020