摘要
研究了一类广义Liénard方程x。=(y),y。=-f(x)(y)-g(x),式中,F,g:R→R连续且保证系统初值解惟一,给出零解全局渐近稳定性条件,并讨论极限环的存在性.
The paper studies the generalized Lienard equation x=φ（y）,y=-f（x）φ（y）-g（x）,where φ,F,g：R→Rare continuous functions so as to ensure the existence of a unique solution to the initial problem. The conditions for the existence of limit cycles and the global asymptotic stability of the origin of the system are given.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
2005年第3期291-296,共6页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
