Electronic Journal of Differential Equations, Vol. 2007(2007), No. 29, pp. 1-13. Title: On the $\Psi$-conditional asymptotic stability of the solutions of a nonlinear Volterra integro-differential system Author: Aurel Diamandescu (Univ. of Craiova, Romania) Abstract: We provide sufficient conditions for $\Psi$-conditional asymptotic stability of the solutions of a nonlinear Volterra integro-differential system. Submitted October 4, 2006. Published February 14, 2007. Math Subject Classifications: 45M10, 45J05. Key Words: $\Psi$-stability; $\Psi$-conditional asymptotic stability.