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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2022, Volume 502, Pages 23–27
DOI: https://doi.org/10.31857/S2686954322010064 (Mi danma232) 		 
This article is cited in 4 scientific papers (total in 4 papers)

MATHEMATICS

Dynamics of the chain of logistic equations with delay and antidiffusive linkage

S. A. Kaschenko

P.G. Demidov Yaroslavl State University, Regional Scientific and Educational Mathematical Center, Yaroslavl, Russia
Citations (4)
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DOI: https://doi.org/10.31857/S2686954322010064
Abstract: The methods of local analysis study the dynamics of the chains of connected logistic equations with delay. It is shown that the critical cases have infinite dimension. As the main results, special non-linear boundary-value problems of the parabolic type, which describe the evolution of slowly oscillating at the equilibrium state solutions of the initial equation, have been constructed.
Keywords: dynamics, logistic equation, delay.
Funding agency Grant number
Russian Science Foundation 21-71-30011
This work was supported by the Russian Science Foundation, project no. 21-71-30011.
Presented: V. V. Kozlov
Received: 27.03.2020
Revised: 12.05.2021
Accepted: 01.12.2021
English version:
Doklady Mathematics, 2022, Volume 105, Issue 1, Pages 18–22
DOI: https://doi.org/10.1134/S1064562422010069
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: S. A. Kaschenko, “Dynamics of the chain of logistic equations with delay and antidiffusive linkage”, Dokl. RAN. Math. Inf. Proc. Upr., 502 (2022), 23–27; Dokl. Math., 105:1 (2022), 18–22
Citation in format AMSBIB
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\by S.~A.~Kaschenko
\paper Dynamics of the chain of logistic equations with delay and antidiffusive linkage
\jour Dokl. RAN. Math. Inf. Proc. Upr.
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\vol 502
\pages 23--27
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\crossref{https://doi.org/10.31857/S2686954322010064}
\elib{https://elibrary.ru/item.asp?id=48050921}
\transl
\jour Dokl. Math.
\yr 2022
\vol 105
\issue 1
\pages 18--22
\crossref{https://doi.org/10.1134/S1064562422010069}
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    • This publication is cited in the following 4 articles:
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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