广义Liénard方程的整体渐近性态

ON THE GLOBAL ASYMPTOTIC BEHAVIOR OF THE GENERALIZED LI(?)NARD EQUATION

我们研究如下的广义 Liénard 方程的整体渐近性态(?)+f(x)(?)+g(x)=e(t),或等价地,(?)其中,f(x),g(x)是实数轴上的连续函数,e(t)为正半轴上的连续函数.

In this paper,the global asymptotic behavior of the generalized Liénard equa-tion (?)+f(x)(?)+g(x)=e(x),where e(t) is absolutely integrable is studied.Necessary and sufficient conditions for all solutions and their derivatives to convergeto zero are provided.