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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 3, Pages 673–685
DOI: https://doi.org/10.17377/smzh.2017.58.315 (Mi smj2888) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Some properties of solutions to a family of integral equations arising in the models of living systems

N. V. Pertsev

Sobolev Institute of Mathematics, Omsk Branch, Omsk, Russia
Full-text PDF (283 kB) Citations (2)
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DOI: https://doi.org/10.17377/smzh.2017.58.315
Abstract: We consider the well-posedness problem of nonlinear integral and differential equations with delay which arises in the elaboration of mathematical models of living systems. The questions of existence, uniqueness, and nonnegativity of solutions to these systems on an infinite semiaxis are studied as well as continuous dependence of solutions on the initial data on finite time segments.
Keywords: nonlinear integral equation, differential equation with delay, global solvability, nonnegativity of a solution, mathematical model, well-posedness, living system.
Received: 15.06.2016
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 3, Pages 525–535
DOI: https://doi.org/10.1134/S0037446617030156
Bibliographic databases:
Document Type: Article
UDC: 517.968.4+517.929
MSC: 35R30
Language: Russian
Citation: N. V. Pertsev, “Some properties of solutions to a family of integral equations arising in the models of living systems”, Sibirsk. Mat. Zh., 58:3 (2017), 673–685; Siberian Math. J., 58:3 (2017), 525–535
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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