一类有奇异势能的系统周期解的存在性

Existence of Periodic Solutions of Systems with Singular Potential

为研究一类具有奇异势能的方程在非强力条件下周期解的存在性,将采用Schauder不动点定理,找出所研究的系统周期解存在的条件,并加以证明。

In order to study the existence of periodic solutions for system with a singular potential under weak condition,Schauder fixed point theorem is used to prove that this system have a periodic solution under the conditions which shall find out.