Uniform ultimate boundedness and asymptotic behaviour of third order nonlinear delay differential equation

被引：4

作者：

Remili M. ^{[1
]}

Oudjedi L.D. ^{[1
]}

机构：

[1] Department of Mathematics, University of Oran, Oran

来源：

Afrika Matematika | 2016年 / 27卷 / 7-8期

关键词：

Delay differential equations; Lyapunov functional; Stability; Third-order differential equations;

D O I：

10.1007/s13370-016-0405-4

中图分类号：

学科分类号：

摘要：

In this paper, Lyapunov second method was employed to obtain criteria for uniform ultimate boundedness and asymptotic behaviour of solutions of nonlinear delay differential equations (DDE) of the third order. The results obtained in this investigation include and extend some well known results on third order nonlinear DDE in the literature. For illustration, an example is also given. © 2016, African Mathematical Union and Springer-Verlag Berlin Heidelberg.

引用

页码：1227 / 1237

页数：10

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