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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2017 Volume 102, Issue 2, Pages 216–230 (Mi mzm11381)

This article is cited in 8 papers

Periodic Solutions of Nonlinear Equations Generalizing Logistic Equations with Delay

S. A. Kashchenkoab

a P.G. Demidov Yaroslavl State University
b National Engineering Physics Institute "MEPhI", Moscow

Abstract: The existence of periodic solutions of nonlinear equations generalizing logistic equations with delay is studied. The existence of sets of periodic solutions of two types is established. The stability and asymptotics of periodic solutions under changes of the parameters are studied.

Keywords: bifurcation, stability, singular perturbations, dynamics.

UDC: 517.9

Received: 20.09.2016
Revised: 22.12.2016

DOI: 10.4213/mzm11381


 English version:
Mathematical Notes, 2017, 102:2, 181–192

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© Steklov Math. Inst. of RAS, 2025