Erdoğan Şen
Published 2012-02-22, updated 2012-02-26Version 2
In this work, we study discontinuous Sturm-Liouville type problems with eigenparameter dependent boundary condition and transmission conditions at three interior points. A self-adjoint linear operator A is defined in a suitable Hilbert space H such that the eigenvalues of such a problem coincide with those of A. We show that the eigenvalues of the problem are analytically simple, and the eigenfunctions of A are complete in H.
On the completeness of the space $\mathcal{O}_C$
Spaces of functions with countably many discontinuities
Completeness of systems of inner functions
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