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Positive fixed points of Lyapunov operator

Rasul GanikhodjaevNational University of Uzbekistan, 100174, Tashkent, UzbekistanR.R. KucharovNational University of Uzbekistan, 100174, Tashkent, UzbekistanK.A. AralovaNational University of Uzbekistan, 100174, Tashkent, Uzbekistan
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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.

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