Sampling Theorems for Sturm Liouville Problem with Moving Discontinuity Points
Classical Analysis and ODEs
2014-12-01 v1
Abstract
In this paper, we investigate the sampling analysis for a new Sturm-Liouville problem with symmetrically located discontinuities which are defined to depending on a neighborhood of a midpoint of the interval. Also the problem has transmission conditions at these points of discontinuity and includes an eigenparameter in a boundary condition. We establish briefly the needed relations for the derivations of the sampling theorems and construct Green's function for the problem. Then we derive sampling representations for transforms whose kernels are either solutions or Green's functions.
Cite
@article{arxiv.1406.0592,
title = {Sampling Theorems for Sturm Liouville Problem with Moving Discontinuity Points},
author = {Fatma Hira and Nihat Altinisik},
journal= {arXiv preprint arXiv:1406.0592},
year = {2014}
}
Comments
11 pages