Abstract
A logistic equation with a delay depending on the state in the past is considered. We study the question of the existence of nonlocal relaxation periodic solutions of this equation for large values of the parameter. The characteristics (for example, period and extreme values) of solutions that we find are compared with similar characteristics of solutions of other modifications of this equation. Asymptotic estimates for the period and the maximum and minimum values are obtained. The study is carried out by the large parameter method.
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23 September 2021
An Erratum to this paper has been published: https://doi.org/10.1134/S0040577921090129
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Funding
The reported study was funded by RFBR, project no. 19-31-90082.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, 2021, Vol. 207, pp. 389-402 https://doi.org/10.4213/tmf10042.
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Golubenets, V.O. Relaxation Oscillations in a Logistic Equation with State-in-the-Past-Dependent Delay. Theor Math Phys 207, 738–750 (2021). https://doi.org/10.1134/S0040577921060052
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DOI: https://doi.org/10.1134/S0040577921060052