On the Existence of Periodic Solutions for a Nonlinear System of Ordinary Differential Equations

Authors
Liu, Zhaoli
Citation
Liu, Zhaoli, On the Existence of Periodic Solutions for a Nonlinear System of Ordinary Differential Equations, Acta mathematica Sinica. English series (Print) , 16(3), 2000, pp. 505-514
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
16
Issue
3
Year of publication
2000
Pages
505 - 514
Database
ACNP
SICI code
Abstract
This paper is concerned with the existence of periodic solutions for a nonlinear system of ordinary differential equations. We obtain a Nagumo-type a priori bound for the periodic solutions and then by using this a priori bound we prove the existence of at least one T-periodic solution under some general conditions