Global asymptotic stability and boundedness of certain multi‐delay functional differential equations of third order

This is the authors' abstract. We don't add key points for this paper.

In this paper, the authors give sufficient conditions for the boundedness and global asymptotic stability of solutions to certain nonlinear multi‐delay functional differential equations of the third order. The technique of proof involves defining an appropriate Lyapunov‐Krasovskii functional and applying LaSalle's invariance principle. An example is included to illustrate the results.