Study of the Stability Behaviour and the Boundedness of Solutions to a Certain Third-Order Differential Equation with a Retarded Argument
Year: 2019
Author: A.M. Mahmoud, D.A.M. Bakhit
Annals of Applied Mathematics, Vol. 35 (2019), Iss. 1 : pp. 99–110
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2019-AAM-18069
Annals of Applied Mathematics, Vol. 35 (2019), Iss. 1 : pp. 99–110
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: delay differential equations asymptotic behaviour stability third-order differential equations Lyapunov functional.