摘要
本文给出了如下一类二阶非线性微分系统 解的有界性的一些新的充分条件，获得了（Ｓ’）的所有解有界或收敛到零的充分必要 条件．所获的结果能够应用于Ｌｉｅｎａｒｄ类型方程 它改进与扩展了［１，２］等文献关于同样问题的一些重要结果．
This paper gives new sufficient conditions for the boundedness of solutionsof the following a second-order nonlinear differential system (S')and obtains a necessary and sufficient condition for ail solutions of (S') to be bounded and to converge to zero. These results can be applied to the Lienard-type equation x + fi(x)x + f_2(x)x^2 + g(x) = e(t), (E)which substantially extends and improves some important results associated with the same problems in the literatures[1,2]et.al.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2000年第3期415-420,共6页
Acta Mathematica Sinica：Chinese Series
基金
中国科学院数学研究所开放基金
关键词
非线性微分系统
有界性
收敛性
充要条件
Nonlinear differential system
Lienard-type equation
Boundedness
Convergence
Necessary and sufficient conditions
