On the stability and boundedness of solutions of nonlinear vector differential equations of third order

被引：28

作者：

Tunc, Cemil ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 06期

关键词：

Boundedness; Stability; Liapunov function; Differential equations of third order;

D O I：

10.1016/j.na.2008.03.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using Liapunov's second method, we establish some new results for stability and boundedness of solutions of nonlinear vector differential equations of third order. By constructing a Liapunov function, sufficient conditions for stability and boundedness of solutions of equations considered are obtained. Concerning to the subject, some explanatory examples are also given. Our results improve and include a result existing in the literature. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2232 / 2236

页数：5

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