摘要
利用Krasnoselskii锥映射不动点定理,研究了二阶非线性常微分方程-u″(t)+a(t)u(t)=f(t,u(t))的正ω 周期解的存在性,获得了若干正ω 周期解的存在性与多重性结果.
The existence of positive periodic solutions of nonlinear second order ordinary differential Equations -u″(t)+a(t)u(t)=f(t,u(t)) is studied by using Krasnoselskii fixed point theorem of cone map,then some existence and multiplicity results of periodic solutions are obtained.
出处
《兰州交通大学学报》
CAS
2004年第4期136-140,共5页
Journal of Lanzhou Jiaotong University
关键词
二阶常微分方程
正ω-周期解
闭凸锥
锥映射不动点定理
second order ordinary differential equations
positive periodic solutions
closed convex cone
fixed pointed theorem of cone map
