Journal of Applied Mathematics and Stochastic Analysis 
Volume 14 (2001), Issue 3, Pages 283-292
doi:10.1155/S1048953301000247

On the “freezing” method for nonlinear nonautonomous systems with delay

Michael I. Gil'

 Ben Gurion University of the Negev, Department of Mathematics, PO Box 653, Beer-Sheva 84105, Israel
Received 1 December 1998; Revised 1 January 2000

Abstract

Nonlinear nonautonomous differential systems with delaying argument are considered. Explicit conditions for absolute stability are derived. The proposed approach is based on the generalization of the “freezing” method for ordinary differential equations.