Inverse eigenvalue problems for a discontinuous Sturm-Liouville operator with two discontinuities

Boundary value problems

Yaln Gld¹ 

[1] Department of Mathematics, Faculty of Sciences, Cumhuriyet University, Sivas, Turkey

关键词: Sturm-Liouville problem;    eigenvalues;    eigenfunctions;    transmission conditions;    Weyl function;   

DOI  :  10.1186/1687-2770-2013-209

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY