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- Title
Eigenparameter dependent inverse boundary value problem for a class of Sturm-Liouville operator.
- Authors
Mamedov, Khanlar R.; Cetinkaya, F. Ayca
- Abstract
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.
- Subjects
NUMERICAL analysis; INVERSE problems; PARAMETER estimation; NUMERICAL solutions to Sturm-Liouville equations; CONTINUOUS functions; UNIQUENESS (Mathematics)
- Publication
Boundary Value Problems, 2014, Vol 2014, p1
- ISSN
1687-2762
- Publication type
Article
- DOI
10.1186/s13661-014-0194-3