Eigenparameter dependent inverse boundary value problem for a class of Sturm-Liouville operator

Boundary value problems

F Ayca Cetinkaya¹  Khanlar R Mamedov¹ 

[1] Science and Letters Faculty, Department of Mathematics, Mersin University, Mersin, Turkey

关键词: Sturm-Liouville operator;    expansion formula;    inverse problem;    Weyl function;   

DOI  :  10.1186/s13661-014-0194-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this work a Sturm-Liouville operator with piecewise continuous coefficient and spectral parameter in the boundary conditions is considered. The eigenvalue problem is investigated; it is shown that the eigenfunctions form a complete system and an expansion formula with respect to the eigenfunctions is obtained. Uniqueness theorems for the solution of the inverse problem with a Weyl function and spectral data are proved. MSC: 34L10, 34L40, 34A55.

【 授权许可】

CC BY