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Eurasian Mathematical Journal, 2020, Volume 11, Number 2, Pages 52–64
DOI: https://doi.org/10.32523/2077-9879-2020-11-2-52-64 (Mi emj365) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On solvability of one infinite system of nonlinear functional equations in the theory of epidemics

A. Kh. Khachatryana, Kh. A. Khachatryanb

a Armenian National Agrarian University, Department of Higher Mathematics and Physics, 74 Teryan St, 0009 Yerevan, Armenia
b Institute of Mathematics of National Academy of Sciences, 24/5 Marshal Bagramyan Ave, 0019 Yerevan, Armenia
Full-text PDF (393 kB) Citations (5)
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DOI: https://doi.org/10.32523/2077-9879-2020-11-2-52-64
Abstract: In the present paper, an infinite system of nonlinear functional equations arising in the theory of epidemics is investigated. We prove a constructive theorem on the existence of a nontrivial, continuous and bounded solution of the system. In addition, some asymptotic properties of the constructed solution are studied. We conclude the study by applying our theoretical results to two concrete examples arising in spatial-temporal spread of epidemics and in $p$-adic string theory.
Keywords and phrases: nonlinearity, infinite system, monotonicity, bounded solution, iteration, theory of epidemics, $p$-adic string theory.
Funding agency Grant number
Science Committee of Ministry of Education, Science, Culture and Sport of Republic of Armenia SCS 18T-1A004
The research was carried out with the financial of support Science Committee of Ministry of Education, Science, Culture and Sport of Republic of Armenia in the framework of the research project SCS 18T-1A004.
Received: 24.12.2018
Revised: 19.02.2020
Bibliographic databases:
Document Type: Article
MSC: 92B05, 45G10
Language: English
Citation: A. Kh. Khachatryan, Kh. A. Khachatryan, “On solvability of one infinite system of nonlinear functional equations in the theory of epidemics”, Eurasian Math. J., 11:2 (2020), 52–64
Citation in format AMSBIB
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\by A.~Kh.~Khachatryan, Kh.~A.~Khachatryan
\paper On solvability of one infinite system of nonlinear functional equations in the theory of epidemics
\jour Eurasian Math. J.
\yr 2020
\vol 11
\issue 2
\pages 52--64
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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