On positive solutions of the homogeneous Hammerstein integral equation

2015/04/07 by Yu. Kh. Eshkabilov, Eshkabilov, Yu. Kh., F. H. Haydarov +1
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #math.FA

paper · pdf · doi:10.48550/arxiv.1504.01545

11 pages

arxiv created 2015/04/07 · arxiv updated 2015/04/08

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.

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