This article is cited in 8 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.

UDC: 517.9

Received: 26.06.2019

DOI: 10.4213/mzm12495

 English version: Mathematical Notes, 2020, 107:6, 920–932

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