具有偏差变元的Lienard型方程反周期解的存在唯一性

Existence and Uniqueness of Anti-Periodic Solutions for a Class of Lienard-type Equation with a Deviating Argument

利用Leray-Schauder度理论,获得具有偏差变元的Lienard方程x″(t)+f1(t,x(t))x′(t)+f2(x(t))x′((t))2+g(t,x(t-τ(t)))=p(t)反周期解存在唯一性的充分条件.

By employing Leray-Schauder degree theorem,some new sufficient conditions of the existence and uniqueness of Anti-periodic solutions for Lienard-type equation with a deviating argument of the form x″（t）＋f1（t,x（t））x′（t）＋f2（t,x（t））x′（（t））2＋g（t,x（t-τ（t）））=p（t） are obtained.