On global asymptotic stability of systems of Lienard type

被引：31
|
作者：
Sugie, J [1 ]
Chen, DL
Matsunaga, H
机构：
[1] Shimane Univ, Dept Math & Comp Sci, Matsue, Shimane 690, Japan
[2] Shinshu Univ, Dept Math, Matsumoto, Nagano 390, Japan
[3] Univ Osaka Prefecture, Dept Math Sci, Sakai, Osaka 599, Japan
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1998年 / 219卷 / 01期
关键词：
D O I：
10.1006/jmaa.1997.5773
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give new necessary and sufficient conditions under which the zero solution of Lienard-type systems is globally asymptotically stable. To this end, we examine (i) whether all trajectories intersect the vertical isocline or not and (ii) whether all trajectories tend to the origin or not. We also apply our results to a pseudolinear system. (C) 1998 Academic Press.
引用
收藏
页码：140 / 164
页数：25
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