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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2020, Volume 54, Issue 2, Pages 87–95
DOI: https://doi.org/10.46991/PYSU:A/2020.54.2.087 (Mi uzeru709) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Mathematics

On solvability of a nonlinear discrete system in the spread theory of infection

M. H. Avetisyan

Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan
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DOI: https://doi.org/10.46991/PYSU:A/2020.54.2.087
Abstract: In this paper a special class of infinite nonlinear system of algebraic equations with Teoplitz matrix is studied. The mentioned system arises in the mathematical theory of the spatial temporal spread of the epidemic. The existence and the uniqueness of the solution in the space of bounded sequences are proved. It is studied also the asymptotic behavior of the constructed solution at infinity. At the end of the work specific examples are given.
Keywords: infinite system, nonlinearity, monotonicity, epidemics, uniqueness.
Received: 24.01.2020
Revised: 30.06.2020
Accepted: 17.08.2020
Document Type: Article
MSC: 45G10, 92B05
Language: English
Citation: M. H. Avetisyan, “On solvability of a nonlinear discrete system in the spread theory of infection”, Proceedings of the YSU, Physical and Mathematical Sciences, 54:2 (2020), 87–95
Citation in format AMSBIB
\Bibitem{Ave20}
\by M.~H.~Avetisyan
\paper On solvability of a nonlinear discrete system in the spread theory of infection
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2020
\vol 54
\issue 2
\pages 87--95
\mathnet{http://mi.mathnet.ru/uzeru709}
\crossref{https://doi.org/10.46991/PYSU:A/2020.54.2.087}
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