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 - <p style="text-align: justify;">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.</p>