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arXiv · 1504.01545

On positive solutions of the homogeneous Hammerstein integral equation

Yu. Kh. Eshkabilov·F. H. Haydarov
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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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Yu. Kh. Eshkabilov, F. H. Haydarov. 2015-04-07. On positive solutions of the homogeneous Hammerstein integral equation. https://arxiv.org/abs/1504.01545

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