Boundedness of Solutions of Nonlinear Systems of Differential Equations

被引：0

作者：

Huang Lihong ^{[1
]}

机构：

[1] Department of Applied Mathematics Hu’nan University Changsha

来源：

Acta Mathematica Sinica,English Series | 1995年 / 11卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Generalized nonlinear oscillating system; Necessary and sufficient condition; Boundedness;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

We first give an example to illustrate that the results in [12] concerning the boundednessof solutions of nonlinear oscillatory equations are not true. And then we obtain sufficient or necessaryconditions for the boundedness of solutions of the nonlinear system of differential equations dx/dt=y~α, dy/dt=-f(x)y~βh(y)-g(x)k(y)without the usual signum conditions xg(x)>0 for all x≠0 and f(x)≥0 for all x∈R.

引用

页码：307 / 315

页数：9