Resolvent Operator and Eigenfunctions of a Sturm-Liouville Type problem
Spectral Theory
2013-04-23 v4
Abstract
In this work we investigate the resolvent operator and completeness of eigenfunctions of a Sturm-Liouville problem with discontinuities at two points. The problem contains an eigenparameter in the one of boundary conditions. For operator-theoretic formulation of the considered problem we define an equivalent inner product in the Hilbert space and suitable self-adjoint lineer operator in it.
Cite
@article{arxiv.1208.5395,
title = {Resolvent Operator and Eigenfunctions of a Sturm-Liouville Type problem},
author = {Erdoğan Şen and Oktay Mukhtarov and Kamil Oruçoğlu},
journal= {arXiv preprint arXiv:1208.5395},
year = {2013}
}
Comments
10 pages, in Turkish