Liénard型方程周期解的存在性

Existence of Periodic Solution to Liénard Type Equation

利用Sobolev空间范数,给出了一般形式的Liénard型方程周期解估计,通过Schauder不动点定理,证明了周期解的存在性。

For generalized Liénard type equation, we obtain the estimates of periodic solutions by virtue of norm estimate in Sobolev space, and then prove the existence of periodic solutions by utilizing Schauder＇ s fixed point theorem.