摘要
研究了一类一般的三阶非线性微分方程的稳定性问题。通过构造合适的李雅普诺夫函数以及利用一些分析方法,给出了判定零解全局渐近稳定的充分条件。所得结果推广了现有结果,并修正了Omeike发表于2007年的一个判定稳定性的定理。同时给出了2个例子来验证所得结果在应用时的有效性。
This paper studies a class of rather general third-order nonlinear differential equations. By con- structing appropriate Liapunov functions and some analytical method, sufficient conditions are derived to ensure global asymptotical stability of the zero solutions. The results extend those existing ones and modify a theorem given by Omeike in 2007. Furthermore, two illustrative examples are given to demon- strate the effectiveness of the obtained results.
出处
《常州大学学报（自然科学版）》
CAS
2015年第4期116-120,共5页
Journal of Changzhou University：Natural Science Edition
