Volume 35, Issue 1
Study of the Stability Behaviour and the Boundedness of Solutions to a Certain Third-Order Differential Equation with a Retarded Argument

A.M. MahmoudD.A.M. Bakhit

Ann. Appl. Math., 35 (2019), pp. 99-110.

Published online: 2020-08

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  • 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.

  • Keywords

delay differential equations, asymptotic behaviour, stability, third-order differential equations, Lyapunov functional.

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@Article{AAM-35-99, author = {Mahmoud , A.M. and Bakhit , D.A.M.}, title = {Study of the Stability Behaviour and the Boundedness of Solutions to a Certain Third-Order Differential Equation with a Retarded Argument}, journal = {Annals of Applied Mathematics}, year = {2020}, volume = {35}, number = {1}, pages = {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.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/18069.html} }
TY - JOUR T1 - Study of the Stability Behaviour and the Boundedness of Solutions to a Certain Third-Order Differential Equation with a Retarded Argument AU - Mahmoud , A.M. AU - Bakhit , D.A.M. JO - Annals of Applied Mathematics VL - 1 SP - 99 EP - 110 PY - 2020 DA - 2020/08 SN - 35 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/18069.html KW - delay differential equations, asymptotic behaviour, stability, third-order differential equations, Lyapunov functional. AB -

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.

A.M. Mahmoud & D.A.M. Bakhit. (2020). Study of the Stability Behaviour and the Boundedness of Solutions to a Certain Third-Order Differential Equation with a Retarded Argument. Annals of Applied Mathematics. 35 (1). 99-110. doi:
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