CONSTRUCTION OF EXPONENTIALLY DECREASING ESTIMATES OF SOLUTIONS TO A CAUCHY PROBLEM FOR SOME NONLINEAR SYSTEMS OF DELAY DIFFERENTIAL EQUATIONS Научная публикация
| Журнал |
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
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| Вых. Данные | Год: 2021, Том: 18, Номер: 1, Страницы: 579-598 Страниц : 20 DOI: 10.33048/semi.2021.18.042 | ||
| Ключевые слова | delay differential equations; exponentially decreasing estimates of the solutions; initial problem; M-matrix; mathematical models of living systems; non-negative solutions | ||
| Авторы |
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| Организации |
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Информация о финансировании (1)
| 1 | Российский фонд фундаментальных исследований | 18-29-10086 |
Реферат:
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.
Библиографическая ссылка:
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
Идентификаторы БД:
| Web of science: | WOS:000674352800001 |
| Scopus: | 2-s2.0-85108824136 |
| OpenAlex: | W3199372396 |