Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Xiaoling Hao and Jiong Sun
Pages: [265] - [277]
Received Date: October 23, 2009
Submitted by:
In this paper, we investigate a class of Sturm-Liouville problems with transmission conditions at finite interior discontinuous points. We define the maximal and minimal operators associated with conditions at the interior points in an appropriate Hilbert space. By construction of the maximal and minimal operators, we establish necessary and sufficient conditions, which guarantee self-adjointness of the ordinary differential operators with coupled boundary conditions and real interface conditions at the interior points.
Sturm-Liouville operators, discontinuous points, transmission conditions, self-adjointness.
