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This article is cited in 7 scientific papers (total in 7 papers)
Relaxation Oscillations in a Logistic Equation
with Nonconstant Delay
V. O. Golubenets P.G. Demidov Yaroslavl State University
Abstract:
A logistic equation
with state- and parameter-dependent delay
is considered.
The existence of a nonlocal relaxation periodic solution of this equation
is proved for sufficiently large parameter values.
The proof is carried out by using the large parameter method.
For large parameter values,
asymptotic estimates of the main characteristics of this solution
are also constructed.
Keywords:
delay equation, relaxation solution, large parameter method.
Received: 26.06.2019
Citation:
V. O. Golubenets, “Relaxation Oscillations in a Logistic Equation
with Nonconstant Delay”, Mat. Zametki, 107:6 (2020), 833–847; Math. Notes, 107:6 (2020), 920–932
Linking options:
https://www.mathnet.ru/eng/mzm12495https://doi.org/10.4213/mzm12495 https://www.mathnet.ru/eng/mzm/v107/i6/p833
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Abstract page: | 248 | Full-text PDF : | 60 | References: | 36 | First page: | 13 |
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