On positive solutions of the homogeneous Hammerstein integral equation
https://doi.org/10.17586/2220-8054-2015-6-5-618-627
Abstract
In this paper the existence and uniqueness of positive fixed points operator for a nonlinear integral operator are discussed. We prove the existence of a finite number of positive solutions for the Hammerstein type of integral equation. Obtained results are applied to the study of Gibbs measures for models on a Cayley tree.
About the Authors
Yu. Kh. Eshkabilov
National University of Uzbekistan
Uzbekistan
Uzbekistan
Tashkent
F. H. Haydarov
National University of Uzbekistan
Uzbekistan
Uzbekistan
Tashkent
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Review
For citations:
Eshkabilov Yu.Kh., Haydarov F.H. On positive solutions of the homogeneous Hammerstein integral equation. Nanosystems: Physics, Chemistry, Mathematics. 2015;6(5):618-627. https://doi.org/10.17586/2220-8054-2015-6-5-618-627
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