Study of global asymptotic stability in nonlinear neutral dynamic equations with variable delays

Abdelouaheb Ardjouni, Ahcene Djoudi

In this paper, we consider a class of nonlinear neutral dynamic equations. By using the Banach contraction mapping principle, we give some new conditions to ensure that the zero solution of the considered equation is globally asymptotically stable in $C_{rd}^{1}$. Our work extends previous results in the literature.