ON THE BOUNDEDNESS AND THE STABILITY RESULTS FOR THE SOLUTIONS OF CERTAIN THIRD ORDER NON-LINEAR DIFFERENTIAL EQUATIONS

被引：0

作者：

Ogundare, B. S. ^{[1
,2
]}

机构：

[1] Obafemi Awolowo Univ, Dept Math, Ife, Nigeria

[2] UFH, Dept Pure & Appl Math, ZA-5700 Alice, South Africa

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2006年 / 29卷

关键词：

Single complete Lyapunov function; boundedness; third order non-linear differential equations; stability;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we show the asymptotic stabilty of the trivial solution x = 0 for p equivalent to 0 and the boundedness as well as the ultimate boundedness result for p not equal 0 with the use of a single complete Lyapunov function. The results obtained here improves on the results already obtained for this class of third order nonlinear direrential equations.

引用

页码：37 / 48

页数：12

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