Banach空间二阶微分方程的周期解

Periodic solutions for second order differential equations in Banach spaces

研究了有序Ｂａｎａｃｈ空间中二阶微分方程周期解的存在性，利用凸锥理论与上、下解方法获得了周期解的存在性结果，并把Ｌｅｅｌａ关于二阶常微分方程的结果推广到了无限维空间．

The author discusses the existence of periodic solutions for second order differential equations in ordered Banach spaces.By using convex cone theory,and supersolution and subsolution method,some existence results of periodic solutions are obtained.Leelas result for second order ordinary differential equation in R 1 is extended to infinite dimensional spaces.