摘要
给出了一类广义L iénard型系统x。=p(y)k(x),y。=-f(x,y)p(y)q(y)-g(x)h(y).解振荡的充要条件,文中的引理也有助于研究这类系统周期解的存在性.
This paper is devoted to the study of the oscillation of the solutions of the general autonomous system of Liénard type x=p（y）k（x）, y=-f（x,y）p（y）q（y）-g（x）h（y）. We give some sufficient and necessary conditions for the oscillation of all solutions of the system. The Lemmas in this paper are also useful to study the existence of nonzero periodic solution of the system.
出处
《数学研究》
CSCD
2005年第4期346-353,共8页
Journal of Mathematical Study
