NEW RESULT ON THE ULTIMATE BOUNDEDNESS OF SOLUTIONS FOR CERTAIN FIFTH-ORDER NON-AUTONOMOUS DELAY DIFFERENTIAL EQUATION

被引：0
|
作者：
Abou-El-Ela, A. M. A. [1 ]
Sadek, A. I. [1 ]
Mahmoud, A. M. [2 ]
Taie, R. O. A. [1 ]
机构：
[1] Assiut Univ, Dept Math, Fac Sci, Assiut 71516, Egypt
[2] Assiut Univ, Fac Sci, Dept Math, New Valley 72111, El Khargah, Egypt
来源：
ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES | 2014年 / 14卷 / 02期
关键词：
boundedness of solutions; Lyapunov functional; fifth-order delay differential equations;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the boundedness of solution x(t) of the fifth-order nonlinear delay differential equation x((5))(t) + psi(t, x(t - r), <(x)single over dot>(t - r), <(x)double over dot>(t - r), (x) triple over dot (t - r), x((4))(t - r))x((4))(t) + f((x) triple over dot (t - r)) + alpha(3)<(x)double over dot>(t) + alpha(4)<(x)single over dot>(t) + alpha(5)x(t) = p(t, x(t - r), <(x)single over dot>(t - r), <($)double over dot>(t - r), (x) triple over dot (t - r), x((4))(t - r)). Sufficient conditions for the boundedness of solutions are obtained by constructing a Lyapunov functional.
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页码：71 / 88
页数：18
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