Study of the Stability Behaviour and the Boundedness of Solutions to a Certain Third-Order Differential Equation with a Retarded Argument

Authors

  • A.M. Mahmoud
  • D.A.M. Bakhit

Keywords:

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

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.

Published

2020-08-24

Issue

Section

Articles