On the existence of periodic solutions for a nonlinear system of ordinary differential equations

被引：0

作者：

Liu, ZL ^{[1
]}

机构：

[1] Shandong Univ, Dept Math, Jinan 250100, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2000年 / 16卷 / 03期

基金：

中国国家自然科学基金;

关键词：

nonlinear system of ordinary differential equation; periodic solution; a priori estimation; Nagumo condition;

D O I：

10.1007/s101140000063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The 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.

引用

页码：505 / 514

页数：10

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