Liénard系统周期解的讨论

Study on Periodic Solutions of Liénard Systems

应用构造Liapunov函数的方法,讨论了非线性微分方程解的存在唯一性.同时给出了Liénard方程存在唯一周期解的充分条件.

In this paper,the existence and uniqueness of almost periodic solutions for some nonlinear differential equation systems are studied by the method of constituting Liapunov function.A sufficient condition is obtained for the existence and uniqueness of almost periodic solution of Liénard equation.