Stability and boundedness results for solutions of certain third order nonlinear vector differential equations

被引：29

作者：

Tunc, Cemil ^{[1
]}

Ates, Muzaffer

机构：

[1] Yuzuncu Yil Univ, Fac Arts & Sci, Dept Math, TR-65080 Van, Turkey

[2] Yuzuncu Yil Univ, Van Tech High Sch, TR-65080 Van, Turkey

来源：

NONLINEAR DYNAMICS | 2006年 / 45卷 / 3-4期

关键词：

boundedness; differential equation of third order; Lyapunov function; stability;

D O I：

10.1007/s11071-006-1437-3

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

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.

引用

页码：273 / 281

页数：9

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