一类广义Liénard系统的正半轨线与特征曲线相交的条件

The conditions of the generalized Liénard system for intersection of positive semiorbits with characteristic curve

获得了广义Li啨ｎａｒｄ系统dxdt =p(y) -F(x) , dydt =-g(x)q(y)过平面上任意一点的正半轨线与特征曲线p(y) =F(x)相交的充分条件 .

Some sufficient conditions of the generalized Liénard system d x d t=p(y)-F(x), d y d t=-g(x)q(y).for intersection of positive semiorbits with characteristic curve p(y)=F(x) through any point on plane are obtained.