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Nanosystems: Physics, Chemistry, Mathematics, 2020, Volume 11, Issue 4, Pages 373–378
DOI: https://doi.org/10.17586/2220-8054-2020-11-4-373-378 (Mi nano536) 		 
MATHEMATICS

Positive fixed points of Lyapunov operator

R. N. Ganikhodjaev, R. R. Kucharov, K. A. Aralova

National University of Uzbekistan, 100174, Tashkent, Uzbekistan
Full-text PDF (192 kB)
DOI: https://doi.org/10.17586/2220-8054-2020-11-4-373-378
Abstract: In this paper, fixed points of Lyapunov integral equation are found and considered the connections between Gibbs measures for four competing interactions of models with uncountable (i.e. [0 , 1]) set of spin values on the Cayley tree of order two.
Keywords: Lyapunov integral operator, fixed points, Cayley tree, Gibbs measure.
Received: 13.01.2020
Revised: 09.08.2020
Bibliographic databases:
Document Type: Article
Language: English
Citation: R. N. Ganikhodjaev, R. R. Kucharov, K. A. Aralova, “Positive fixed points of Lyapunov operator”, Nanosystems: Physics, Chemistry, Mathematics, 11:4 (2020), 373–378
Citation in format AMSBIB
\Bibitem{GanKucAra20}
\by R.~N.~Ganikhodjaev, R.~R.~Kucharov, K.~A.~Aralova
\paper Positive fixed points of Lyapunov operator
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2020
\vol 11
\issue 4
\pages 373--378
\mathnet{http://mi.mathnet.ru/nano536}
\crossref{https://doi.org/10.17586/2220-8054-2020-11-4-373-378}
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\elib{https://elibrary.ru/item.asp?id=46752392}
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