Boundedness and asymptotic behaviour of solutions of a nonlinear differential equation of the third order

被引：1
|
作者：
Ademola A.T. [1 ]
Arawomo P.O. [1 ]
机构：
[1] Department of Mathematics, University of Ibadan, Ibadan
来源：
Afrika Matematika | 2012年 / 23卷 / 2期
关键词：
Asymptotic behaviour; Complete Lyapunov function; Nonlinear differential equation; Third order; Uniform ultimate boundedness;
D O I：
10.1007/s13370-011-0034-x
中图分类号：
学科分类号：
摘要：
In this paper, we use Lyapunov second method. A complete Lyapunov function was constructed and used to obtain criteria for boundedness, uniform ultimate boundedness and asymptotic behaviour of solutions of a nonlinear differential equation of the third order. Our results revise, improve and extend existing results on boundedness, uniform ultimate boundedness and asymptotic behaviour of solutions of third order nonlinear differential equations in the literature. © 2011 African Mathematical Union and Springer-Verlag.
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页码：261 / 271
页数：10
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