STUDY OF THE STABILITY BEHAVIOUR AND THE BOUNDEDNESS OF SOLUTIONS TO A CERTAIN THIRD-ORDER DIFFERENTIAL EQUATION WITH A RETARDED ARGUMENT

STUDY OF THE STABILITY BEHAVIOUR AND THE BOUNDEDNESS OF SOLUTIONS TO A CERTAIN THIRD-ORDER DIFFERENTIAL EQUATION WITH A RETARDED ARGUMENT

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摘要 Lyapunov direct method is employed to investigate the asymptotic behaviour and the boundedness of solutions to a certain third-order differential equation with delay and some new results are obtained. Our results improve and complement some earlier results. Two examples are given to illustrate the importance of the topic and the main results obtained. Lyapunov direct method is employed to investigate the asymptotic behaviour and the boundedness of solutions to a certain third-order differential equation with delay and some new results are obtained. Our results improve and complement some earlier results. Two examples are given to illustrate the importance of the topic and the main results obtained.

作者 A.M.Mahmoud D.A.M.Bakhit

机构地区 Dept.of Math.

出处《Annals of Applied Mathematics》 2019年第1期99-110,共12页 应用数学年刊（英文版）

关键词 delay DIFFERENTIAL EQUATIONS ASYMPTOTIC BEHAVIOUR stability THIRD-ORDER DIFFERENTIAL EQUATIONS Lyapunov functional delay differential equations asymptotic behaviour stability third-order differential equations Lyapunov functional

分类号 O175 [理学—基础数学]

作者简介 Corresponding author:A.M.Mahmoud,E-mail:math ayman27@yahoo.com

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Annals of Applied Mathematics

2019年第1期

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STUDY OF THE STABILITY BEHAVIOUR AND THE BOUNDEDNESS OF SOLUTIONS TO A CERTAIN THIRD-ORDER DIFFERENTIAL EQUATION WITH A RETARDED ARGUMENT

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