关于Liénard系统的正半轨线与特征曲线相交的充要条件

The Necessary and Sufficient Conditions of the Liénard System for Intersection of Positive Semi-orbits with Characteric Curve

获得了Liénard系统过平面上任意一点的正半轨线与其特征曲线相交的充要条件,所获结果改进和推广了已有文献中相应的结果.并结合一个具体的例子对所获结果进行了应用.

Some sufficient conditions of the Liénard system for intersection of positive semi orbits with characteric curve through any point on plane were obtained. This results improve and extend some important results associated with the same problems in the literatures[8-10]. Moreover, an example is also provided to illustrate the effectiveness of the new results.