一类广义Liénard系统解的有界性

On the Boundedness of Solutions of A Class of Generalized Liénard System

获得了广义 Liénard系统dxdt=p(y) -F(x) , dydt=-g(x) q(y)所有正半轨线有界的若干充分条件 ,推广改进了已有文献 [1— 1 2 ]中的相应结果 .

This paper obtains some sufficient conditions of the generalized Liénard system dxdtp(y)-F(x), dydt-g(x)q(y)for the boudedness of all positive solution. This results improve and extend some important results associated with the same problems in the literatures [1—12].