Relaxation Oscillations in a Logistic Equation

V. O. Golubenets

Matematičeskie zametki, Tome 107 (2020) no. 6, pp. 833-847.

Résumé

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.

Détail

Keywords: delay equation, large parameter method.
Mots-clés : relaxation solution

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