On positive solutions of the homogeneous Hammerstein integral equation
Functional Analysis
2015-04-08 v1
Abstract
In this paper the existence and uniqueness positive fixed points of the one nonlinear integral operator are discussed. We prove that existence finite positive solutions of the integral equation of Hammerstein type. Obtained results applied to study Gibbs measures for models on a Cayley tree.
Keywords
Cite
@article{arxiv.1504.01545,
title = {On positive solutions of the homogeneous Hammerstein integral equation},
author = {Yu. Kh. Eshkabilov and F. H. Haydarov},
journal= {arXiv preprint arXiv:1504.01545},
year = {2015}
}
Comments
11 pages