Article ID Journal Published Year Pages File Type
6420938 Applied Mathematics and Computation 2014 10 Pages PDF
Abstract

In this paper we study regular approximation of singular Sturm-Liouville problems with transmission conditions. We construct all self-adjoint extensions of the minimal operators and the induced restriction operators. Using the abstract operator theory in the Hilbert space, we obtain that the spectrum of singular Sturm-Liouville problems with transmission conditions can be approximated by eigenvalues of a sequence of regular Sturm-Liouville problems with transmission conditions.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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