一类广义Liénard系统解的有界性

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

研究了一类广义Liénard系统dxdt=p (y) -F(x) ,dydt=-g(x)q(y)解的有界性,获得了该系统存在无界解的两个新的充分条件,改进和扩展了相应结果.

The boundedness of solution of the following Liénard systemd x d t=p(y)-F(x) ,d y d t=-g(x)q(y) was studied, and two sufficient conditions for the existence of unbounded soluteion of the system ws obtained.The results of papers[1,2] were extended and improved.