POSITIVE PERIODIC SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS

被引：0

作者：

Liu Yuji Ge Weigao1 Dept. of Math.

机构：

来源：

Applied Mathematics:A Journal of Chinese Universities | 2003年 / 04期

基金：

中国国家自然科学基金;

关键词：

positive periodic solution; differential equation; fixed-point theorem; growth condition;

D O I：

暂无

中图分类号：

O175.29 [非线性偏微分方程];

学科分类号：

070104 ;

摘要：

The nonlinear differential equationx′(t)=-δ(t)x(t)+f(t,x(t))(*)is considered,where δ(t) is a periodic function of periodic T,f(t,x) is continuous and periodic in t.It is showed that (*) has at least two positive T-periodic solutions under certain growth conditions imposed on f.Applications will be presented to illustrate the main results.

引用

页码：373 / 382

页数：10

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