Stability and Boundedness Results for Solutions of Certain Third Order Nonlinear Vector Differential Equations

被引:0
|
作者
Cemil Tunç
Muzaffer Ateş
机构
[1] Yüzüncü Yıl University,Department of Mathematics, Faculty of Arts and Sciences
[2] Yüzüncü Yıl University,Van Technical High School
来源
Nonlinear Dynamics | 2006年 / 45卷
关键词
boundedness; differential equation of third order; Lyapunov function; stability;
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学科分类号
摘要
In this paper, we investigate the asymptotic stability of the zero solution and boundedness of all solutions of a certain third order nonlinear ordinary vector differential equation. The results are proved using Lyapunov’s second (or direct method). Our results include and improve some well known results existing in the literature.
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页码:273 / 281
页数:8
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