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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2020 Number 9, Pages 39–55 (Mi ivm9610)

This article is cited in 9 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

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.

UDC: 517.9

Received: 08.11.2019
Revised: 20.03.2020
Accepted: 25.03.2020

DOI: 10.26907/0021-3446-2020-9-39-55


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, 64:9, 34–49

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© Steklov Math. Inst. of RAS, 2024