Document Type
Article
Publication Date
2019
Publication Source
Electronic Journal of Differential Equations
Abstract
Abstract. We apply a recent Avery et al. fixed point theorem to the Hammerstein integral equation (see paper for equation). Under certain conditions on G, we show the existence of positive and positive symmetric solutions. Examples are given where G is a convolution kernel and where G is a Green’s function associated with different boundary-value problem.
ISBN/ISSN
1072-6691
Document Version
Published Version
Publisher
Texas State University
Volume
2019
Peer Reviewed
yes
Keywords
Hammerstein integral equation, boundary-value problem, fractional boundary-value problem
eCommons Citation
Eloe, Paul W. and Neugebauer, Jeffrey T., "Avery Fixed Point Theorem Applied to a Hammerstein Integral Equation" (2019). Mathematics Faculty Publications. 215.
https://ecommons.udayton.edu/mth_fac_pub/215
Comments
This work is licensed under a Creative Commons Attribution 4.0 International License (CC-BY). This is an open-access journal, which means that all content is freely available without charges. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles in this journal without asking prior permission from the publisher.
It is article No. 99 in Volume 2019.