Expansion theorems for discontinuous Sturm-Liouville problems
Abstract
In this paper, we investigate a discontinuous Sturm-Liouville problem which has several discontinuities inside a finite interval and eigenparameter dependent on one of the boundary conditions. We construct Green’s function and the resolvent operator for this problem and prove theorems about the eigenfunction expansion for Green’s function and the modified Parseval equality in the special Hilbert space.
Copyright © 2014 Fatma Hira, Nihat Altinisik. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
F. Hira, N. Altinisik, Expansion theorems for discontinuous Sturm-Liouville problems, J. Math. Comput. Sci. 4 (2014), 335–349.
BibTeX
@article{Hira2014,
author = {Hira, Fatma and Altinisik, Nihat},
title = {Expansion theorems for discontinuous Sturm-Liouville problems},
journal = {J. Math. Comput. Sci.},
volume = {4},
year = {2014},
pages = {335--349},
doi = {}
}