Reconstruction of potential function for Sturm-Liouville operator with Coulomb potential

Boundary value problems

Murat Sat¹  Etibar S Panakhov² 

[1] Department of Mathematics, Erzincan University, Erzincan, Turkey;Department of Mathematics, Firat University, Elazig, Turkey

关键词: Coulomb potential;    nodal point;    reconstruction formula;   

DOI  :  10.1186/1687-2770-2013-49

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we are concerned with an inverse problem for the Sturm-Liouville operator with Coulomb potential using a new kind of spectral data that is known as nodal points. We give a reconstruction of q as a limit of a sequence of functions whose n th term is dependent only on eigenvalue and its associated nodal data. It is mentioned that this method is based on the works of Law and Yang, but we have applied the method to the singular Sturm-Liouville problem. MSC:34L05, 45C05.

【 授权许可】

CC BY