有序Banach空间常微分方程的正周期解

Positive periodic solutions for ordinary differential equations in ordered Banach spaces

依据凝聚锥映射的一个 krasnoselskii型不动点定理 ,在有序 Banach空间中 ,获得了二阶常微分方程 .- u″(t) +Mu(t) =f (t,u(t) )正ω -周期解的存在性结果 .

The existence problem of periodic solution for second order ordinary differential equation -u″(t)+Mu(t)=f(t,u(t)) in ordered Banach spaces is discussed. A Krasnoselskiis type fixed point theorem of condensing map in cones is applied to this problem, and some existence results of positive ω-periodic solution are obtained.