CONSTRUCTION OF EXPONENTIALLY DECREASING ESTIMATES OF SOLUTIONS TO A CAUCHY PROBLEM FOR SOME NONLINEAR SYSTEMS OF DELAY DIFFERENTIAL EQUATIONS Full article
| Journal |
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
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| Output data | Year: 2021, Volume: 18, Number: 1, Pages: 579-598 Pages count : 20 DOI: 10.33048/semi.2021.18.042 | ||
| Tags | delay differential equations; exponentially decreasing estimates of the solutions; initial problem; M-matrix; mathematical models of living systems; non-negative solutions | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Foundation for Basic Research | 18-29-10086 |
Abstract:
The behavior of solutions for several models of living systems, presented as the Cauchy problem for nonlinear systems of delay differential equations, is investigated. A set of conditions providing exponentially decreasing estimates of the components of the solutions of the studied Cauchy problem is established. The parameters of exponential estimates are found as a solution of a nonlinear system of inequalities, based on the right part of the system of differential equations. Results of the studies on mathematical models arising in epidemiology, immunology, and physiology are presented. © 2021 Pertsev N.V. All Rights Reserved.
Cite:
Pertsev N.V.
CONSTRUCTION OF EXPONENTIALLY DECREASING ESTIMATES OF SOLUTIONS TO A CAUCHY PROBLEM FOR SOME NONLINEAR SYSTEMS OF DELAY DIFFERENTIAL EQUATIONS
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2021. V.18. N1. P.579-598. DOI: 10.33048/semi.2021.18.042 WOS Scopus OpenAlex
CONSTRUCTION OF EXPONENTIALLY DECREASING ESTIMATES OF SOLUTIONS TO A CAUCHY PROBLEM FOR SOME NONLINEAR SYSTEMS OF DELAY DIFFERENTIAL EQUATIONS
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2021. V.18. N1. P.579-598. DOI: 10.33048/semi.2021.18.042 WOS Scopus OpenAlex
Identifiers:
| Web of science: | WOS:000674352800001 |
| Scopus: | 2-s2.0-85108824136 |
| OpenAlex: | W3199372396 |