Some spectral properties of Sturm-Liouville problem with transmission conditions
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, vol.29, no.A2, pp.229-245, 2005 (SCI-Expanded)
- Publication Type: Article / Article
- Volume: 29 Issue: A2
- Publication Date: 2005
- Journal Name: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
- Page Numbers: pp.229-245
- Keywords: Sturm-Liouville problem, eigenvalue, eigenfunction, Green's function, resolvent operator, BOUNDARY-VALUE-PROBLEMS, EIGENVALUE PARAMETER, EIGENPARAMETER, EIGENFUNCTIONS
- Ondokuz Mayıs University Affiliated: No
Abstract
We investigate the boundary-value problem generated by the Sturm-Liouville equation with discontinuous coefficients, eigenparameter dependent boundary conditions and transmission conditions at the point of discontinuity. With a different approach we introduce an adequate Hilbert space formulation, investigate some properties of eigenvalues, Green's function and resolvent operator, and find simple conditions on the coefficients which guarantee the self-adjointness of the considered problem.