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.

引用

页码：71 / 88

页数：18

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