najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2020-11-4-373-378najo-405Research ArticleMATHEMATICSМАТЕМАТИКАPositive fixed points of Lyapunov operatorGanikhodjaevR. N.

100174, Tashkent

ramz3364647@yahoo.comKucharovR. R.

100174, Tashkent

AralovaK. A.

100174, Tashkent

National University of UzbekistanUzbekistan202029072025114373–378Copyright © Ganikhodjaev R.N., Kucharov R.R., Aralova K.A., 20252025Ganikhodjaev R.N., Kucharov R.R., Aralova K.A.Ganikhodjaev R.N., Kucharov R.R., Aralova K.A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/405

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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The authors declare that there are no conflicts of interest present.