Some spectral properties of Sturm-Liouville problem with transmission conditions
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, cilt.29, sa.A2, ss.229-245, 2005 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 29 Sayı: A2
- Basım Tarihi: 2005
- Dergi Adı: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
- Sayfa Sayıları: ss.229-245
- Anahtar Kelimeler: Sturm-Liouville problem, eigenvalue, eigenfunction, Green's function, resolvent operator, BOUNDARY-VALUE-PROBLEMS, EIGENVALUE PARAMETER, EIGENPARAMETER, EIGENFUNCTIONS
- Ondokuz Mayıs Üniversitesi Adresli: Hayır
Özet
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.