四阶非线性微分方程周期解的存在性

ON THE EXISTENCE OF THE PERIODIC SOLUTION OF CERTAIN FOURTH ORDER DIFFERENTIAL EQUATIONS

应用构造Ｌｉａｐｕｎｏｖ函数的方法，给出了四阶非线性微分方程存在周期解的一组充分条件．

In this paper,the existence of periodic solutions for certain fourth order differential equation are studied by using the method of constituting Liapunov function, a sufficient condidion is obtained.