二阶向量常微分方程周期解的存在唯一定理

EXISTENCE AND UNIQUENESS THEOREMS OF PERIODIC SOLUTIONS FOR SECOND ORDER VECTOR O.D.E.S

本文采用指数二分技术和 Sehauder 不动点定理,给出了一个关于二阶向量常微分方程 x″=f(t,x,x＇)周期解的存在唯一性定理。

In this paper using the method of dichotomies and the Schauder's fixedpoint theorem,we prove an existence and uniqueness theorem of periodicsolutions for the second order vector ordinary differential equation x″=f(t,x,x′).