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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2019, Volume 306, Pages 287–303
DOI: https://doi.org/10.4213/tm4006 (Mi tm4006) 		 
This article is cited in 20 scientific papers (total in 20 papers)

On the Solvability of Some Nonlinear Integral Equations in Problems of Epidemic Spread

A. Kh. Khachatryana, Kh. A. Khachatryanb

a Armenian National Agrarian University, Teryan 74, Yerevan, 0009, Republic of Armenia
b Institute of Mathematics of National Academy of Sciences of the Republic of Armenia, Marshal Baghramian ave. 24/5, Yerevan, 0019, Republic of Armenia
Full-text PDF (237 kB) Citations (20)
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DOI: https://doi.org/10.4213/tm4006
Abstract: We study some classes of convolution-type nonlinear integral equations that are directly related to the problems of geographic spread of epidemic diseases. Under various constraints on the nonlinearity and the kernel of the equation, we prove existence theorems for monotonic and bounded solutions. We also present specific examples of application of these equations.
Keywords: epidemic, iterations, monotonicity, nonlinearity, bounded solution.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia SCS 18T-1A004
The research was supported by the State Committee of Science of the Ministry of Education and Science of the Republic of Armenia, project no. SCS 18T-1A004.
Received: June 11, 2018
Revised: July 4, 2018
Accepted: June 24, 2019
English version:
Proceedings of the Steklov Institute of Mathematics, 2019, Volume 306, Pages 271–287
DOI: https://doi.org/10.1134/S0081543819050225
Bibliographic databases:
Document Type: Article
UDC: 517.968.43+517.958:57
Language: Russian
Citation: A. Kh. Khachatryan, Kh. A. Khachatryan, “On the Solvability of Some Nonlinear Integral Equations in Problems of Epidemic Spread”, Mathematical physics and applications, Collected papers. In commemoration of the 95th anniversary of Academician Vasilii Sergeevich Vladimirov, Trudy Mat. Inst. Steklova, 306, Steklov Math. Inst. RAS, Moscow, 2019, 287–303; Proc. Steklov Inst. Math., 306 (2019), 271–287
Citation in format AMSBIB
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\paper On the Solvability of Some Nonlinear Integral Equations in Problems of Epidemic Spread
\inbook Mathematical physics and applications
\bookinfo Collected papers. In commemoration of the 95th anniversary of Academician Vasilii Sergeevich Vladimirov
\serial Trudy Mat. Inst. Steklova
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\vol 306
\pages 287--303
\publ Steklov Math. Inst. RAS
\publaddr Moscow
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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