Abstract. We consider a system of functional differential equations $x'(t)=F(t,x_t)$ and obtain conditions on a Liapunov functional and a Liapunov function to ensure the stability of the zero solution of functional differential equation with finite delay.

AMS Subject Classification (1991): 34K20

Keyword(s): Uniform asymptotic stability, functional differential equations

Received April 1, 1998, and in revised form December 16, 1999. (Registered under 2752/2009.)