STABILITY AND BOUNDEDNESS PROPERTIES OF SOLUTIONS TO CERTAIN FIFTH ORDER NONLINEAR DIFFERENTIAL EQUATIONS

被引：0
|
作者：
Ogundare, B. S. [1 ]
机构：
[1] Univ Ft Hare, Dept Pure & Appl Math, ZA-5700 Alice, South Africa
来源：
MATEMATICKI VESNIK | 2009年 / 61卷 / 04期
关键词：
Boundedness; Lyapunov function; nonlinear fifth order 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 consider the nonlinear fifth order differential equation x((v)) + ax((iv)) + b (x) triple over dot + f(sic) + g(x)over dot + h(x) = p(t; x, (x)over dot, (sic), (x) triple over dot, x((iv))) and we used the Lyapunov's second method to give sufficient criteria for the zero solution to be globally asymptotically stable as well as the uniform boundedness of all solutions with their derivatives.
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页码：257 / 268
页数：12
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