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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 9, Pages 39–55
DOI: https://doi.org/10.26907/0021-3446-2020-9-39-55 (Mi ivm9610) 		 
This article is cited in 9 scientific papers (total in 10 papers)

Estimation of the region of global stability of the equilibrium state of the logistic equation with delay

S. A. Kaschenko, D. O. Loginov

P.G. Demidov Yaroslavl State University, 14 Sovetskaya str., Yaroslavl', 150000 Russia
Full-text PDF (603 kB) Citations (10)
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DOI: https://doi.org/10.26907/0021-3446-2020-9-39-55
Abstract: We study the question of determining all those parameters for which all positive solutions of the logistic equation with delay tend to zero as $ t \to \infty $. The well-known Wright conjecture [1] on the estimation of the set of such parameters is proved. A methodology has been developed that makes it possible to consistently refine this estimate.
Keywords: logistic equation, global stable, delay, one-dimensional mapping, asymptotics of solutions.
Funding agency Grant number
Russian Foundation for Basic Research 18-29-10043
Ministry of Science and Higher Education of the Russian Federation 1.13560.2019/13.1
Благодарности. Работа выполнена при финансовой поддержке Российского фонда фундаментальных исследований (№18-29-10043) и проекта РНОМЦ (№1.13560.2019/13.1) Министерства науки и высшего образования.
Received: 08.11.2019
Revised: 20.03.2020
Accepted: 25.03.2020
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 9, Pages 34–49
DOI: https://doi.org/10.3103/S1066369X20090042
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: S. A. Kaschenko, D. O. Loginov, “Estimation of the region of global stability of the equilibrium state of the logistic equation with delay”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 9, 39–55; Russian Math. (Iz. VUZ), 64:9 (2020), 34–49
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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