Global asymptotic stability in nonlinear neutral integro-dynamic equations with infinite delay

Abstract

This paper is mainly concerned the global asymptotic stability of the zero solution of a class of nonlinear neutral integro-dynamic equations in C_{rd}¹. By converting the nonlinear neutral integro-dynamic equation into an equivalent integral equation, our main results are obtained via the Banach contraction mapping principle. The results obtained here extend the work of Ardjouni and Djoudi <cite>aa</cite>.