DISSIPATIVE STURM-LIOUVILLE OPERATORS WITH A SPECTRAL PARAMETER IN THE BOUNDARY CONDITION ON BOUNDED TIME SCALES
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume:
- Publication Date: 2017
- Journal Name: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Süleyman Demirel University Affiliated: Yes
Abstract
In this article we consider a second-order Sturm-Liouville operator with a spectral parameter in the boundary condition on bounded time scales. We construct a selfadjoint dilation of the dissipative Sturm-Liouville operators. Using by methods of Pavlov [40, 41, 42], we prove the completeness of the system of eigenvectors and associated vectors of the dissipative Sturm-Liouville operators on bounded time scales.