Dynamics of a Delay Logistic Equation with Diffusion and Coefficients Rapidly Oscillating in Space Variable
- Authors: Kashchenko S.A.1,2
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Affiliations:
- Yaroslavl State University
- National Research Nuclear University “MEPhI,”
- Issue: Vol 98, No 2 (2018)
- Pages: 522-525
- Section: Mathematical Physics
- URL: https://journals.rcsi.science/1064-5624/article/view/225572
- DOI: https://doi.org/10.1134/S1064562418060224
- ID: 225572
Cite item
Abstract
The applicability of the averaging principle in the study of the dynamics of a practically important delay logistic equation with diffusion and coefficients rapidly oscillating with respect to the space variable is analyzed. A task of special interest is to address equations with rapid oscillations of the delay coefficient or a quantity characterizing the deviation of the space variable. Bifurcation problems arising in critical cases for the averaged equation are studied. Results concerning the existence, stability, and asymptotic behavior of periodic solutions to the original equation are formulated.
About the authors
S. A. Kashchenko
Yaroslavl State University; National Research Nuclear University “MEPhI,”
Author for correspondence.
Email: kasch@uniyar.ac.ru
Russian Federation, Yaroslavl, 150000; Moscow, 115409