Inverse eigenvalue problems for a discontinuous Sturm-Liouville operator with two discontinuities
Department of Mathematics, Faculty of Sciences, Cumhuriyet University, Sivas, 58140, Turkey
Boundary Value Problems 2013, 2013:209 doi:10.1186/1687-2770-2013-209Published: 11 September 2013
In this paper, we consider a discontinuous Sturm-Liouville operator with parameter-dependent boundary conditions and two interior discontinuities. We obtain eigenvalues and eigenfunctions together with their asymptotic approximate formulas. Then, we give some uniqueness theorems by using Weyl function and spectral data, which are called eigenvalues and normalizing constants for solution of inverse problem.
MSC: 34A55, 34B24, 34L05.