一类具有偏差变元的Lienard型方程的周期解

Periodic Solutions of The Lienard-type Equation with Delays and Deviating Argument

利用Mawhin重合度理论,研究一类具有偏差变元Lienard型方程n的周期解的存在性,得到其周期解存在的新的充分条件,推广和改进文献[1,2]的相关结果.

By using the coincidence degree theory of Mawhin, we study the existence of periodic solutions of the Lienard-type equation x″（t）＋∑i=1^nhi（x）｜x′｜2ai＋f（t,x（t）,x（t-τ0）））x′（t）＋g（t,x（t-τ1（t）））=p（t） with delays and deviating argument, Some new sufficient condition of periodic solutions is obtained. The results on reference[1,2] are extended and improved.