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Nanosystems: Physics, Chemistry, Mathematics, 2015, Volume 6, Issue 5, Pages 618–627
DOI: https://doi.org/10.17586/2220-8054-2015-6-5-618-627 (Mi nano974) 		 
On positive solutions of the homogeneous Hammerstein integral equation

Yu. Kh. Eshkabilov, F. H. Haydarov

National University of Uzbekistan, Tashkent, Uzbekistan
Full-text PDF (254 kB)
DOI: 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.
Keywords: integral equation of Hammerstein type, fixed point of operator, Gibbs measure, Cayley tree.
Received: 02.04.2015
Revised: 18.07.2015
Bibliographic databases:
Document Type: Article
PACS: 02.30.Rz
Language: English
Citation: Yu. Kh. Eshkabilov, F. H. Haydarov, “On positive solutions of the homogeneous Hammerstein integral equation”, Nanosystems: Physics, Chemistry, Mathematics, 6:5 (2015), 618–627
Citation in format AMSBIB
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\by Yu.~Kh.~Eshkabilov, F.~H.~Haydarov
\paper On positive solutions of the homogeneous Hammerstein integral equation
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2015
\vol 6
\issue 5
\pages 618--627
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\crossref{https://doi.org/10.17586/2220-8054-2015-6-5-618-627}
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