Completeness of one two-interval boundary value problem with transmission conditions
Classical Analysis and ODEs
2013-12-12 v1
Abstract
This paper presents a new approach to the two-interval Sturm-Liouville eigenfunction expansions, based essentially on the method of integral equations. We consider the Sturm-Liouville problem together with two supplementary transmission conditions at one interior point. Further we develop Green's function method for spectral analysis of the considered problem in modified Hilbert space.
Cite
@article{arxiv.1312.3052,
title = {Completeness of one two-interval boundary value problem with transmission conditions},
author = {K. Aydemir and O. Sh. Mukhtarov},
journal= {arXiv preprint arXiv:1312.3052},
year = {2013}
}