STABILITY AND BOUNDEDNESS OF SOLUTIONS OF NONLINEAR VECTOR DIFFERENTIAL EQUATIONS OF THIRD ORDER

被引：5

作者：

Omeike, M. O. ^{[1
]}

机构：

[1] Fed Univ Agr, Dept Math, Abeokuta, Nigeria

来源：

ARCHIVUM MATHEMATICUM | 2014年 / 50卷 / 02期

关键词：

boundedness; stability; Liapunov function; differential equations of third order;

D O I：

10.5817/AM2014-2-101

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A The paper studies the equation (X) triple over dot + Psi ((X) over dot) (sic) + Phi(X) (X) over dot + cX = P(t) in two cases: (i) P(t) equivalent to 0, (ii) P(t) not equal 0. In case (i), the global asymptotic stability of the solution X = 0 is studied; in case (ii), the boundedness of all solutions is proved.

引用

页码：101 / 106

页数：6

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