Sufficient conditions for global asymptotic stability in neutral dynamic equations

I. Daira, A. Ardjouni

In the present article, we consider a class of nonlinear neutral dynamic equations. By applying the Banach contraction mapping principle, we obtain some conditions to prove the global asymptotic stable in Crd1 of the zero solution for the considered equation. In the last, we give an example to demonstrate the effectiveness and advantage of the proven results. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 18(2) (2025), pp. 91-105