POSITIVE PERIODIC SOLUTIONS OF FIRST AND SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS

被引：0

作者：

LI YONGXIANG Department of Mathematics Northwest Normal University Lanzhou ChinaEmail liyxnwnueducn ^{[730070
]}

机构：

来源：

ChineseAnnalsofMathematics | 2004年 / 03期

关键词：

Positive periodic solution; Cone; Fixed point index;

D O I：

暂无

中图分类号：

O241.8 [微分方程、积分方程的数值解法];

学科分类号：

070102 ;

摘要：

<正> In this paper the existence results of positive ω-periodic solutions are obtained forsecond order ordinary differential equation-u"（t）=f(t,u（t）) （t∈R）, and also for firstorder ordinary differential equation u"（f）=f(t,u（t）) （t∈R）, where f: R×R+→Ris a continuous function which is ω-periodic in t. The discussion is based on the fixedpoint index theory in cones.

引用

页码：413 / 420

页数：8