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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 1, Pages 143–157
DOI: https://doi.org/10.17377/smzh.2018.59.113 (Mi smj2961) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Global solvability and estimates of solutions to the Cauchy problem for the retarded functional differential equations that are used to model living systems

N. V. Pertsev

Sobolev Institute of Mathematics, Omsk Branch, Omsk, Russia
Full-text PDF (313 kB) Citations (16)
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DOI: https://doi.org/10.17377/smzh.2018.59.113
Abstract: We study the Cauchy problem for the retarded functional differential equations that model the dynamics of some living systems. We find certain conditions ensuring the existence, uniqueness, and nonnegativity of solutions on finite and infinite time intervals. We obtain upper bounds for solutions and prove the continuous dependence of solutions on the initial data on finite time intervals.
Keywords: retarded functional differential equation, Cauchy problem, global solvability, nonnegativity of solutions, boundedness of solutions, mathematical biology, living systems.
Received: 11.12.2016
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 1, Pages 113–125
DOI: https://doi.org/10.1134/S0037446618010135
Bibliographic databases:
Document Type: Article
UDC: 517.929
MSC: 35R30
Language: Russian
Citation: N. V. Pertsev, “Global solvability and estimates of solutions to the Cauchy problem for the retarded functional differential equations that are used to model living systems”, Sibirsk. Mat. Zh., 59:1 (2018), 143–157; Siberian Math. J., 59:1 (2018), 113–125
Citation in format AMSBIB
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    • This publication is cited in the following 16 articles:
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