Brief communications

Almost periodic solutions of nonlinear ODE systems with two small parameters

N. A. Pismennyy

Voronezh State University, 1 Universitetskaya pl., Voronezh, 394018, Russia

Abstract: We deal with the problem of the existence and uniqueness of almost periodic solutions of a nonlinear ODE system with two small parameters. We prove the bifurcation theorem of almost periodic solutions for a nonlinear system of differential equations with two small positive parameters and an almost periodic right-hand side from the cycle of the generating system. The averaging principal in the problem of almost periodic solutions of a system of special type differential equations with two small parameters is proved.

Keywords: almost periodic solutions, small parameters, nonlinear system, bifurcation.

UDC: 517.911

Received: 24.12.2018
Revised: 24.12.2018
Accepted: 27.03.2019

DOI: 10.26907/0021-3446-2019-6-89-92

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2019, 63:6, 82–84

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