Yh. Ko, AN ASYMPTOTIC STABILITY AND A UNIFORM ASYMPTOTIC STABILITY FOR FUNCTIONAL-DIFFERENTIAL EQUATIONS, Proceedings of the American Mathematical Society, 119(2), 1993, pp. 535-545
We consider a system of functional differential equation x'(t) = F(t,
x(t)) and obtain conditions on a Liapunov functional to ensure the asy
mptotic stability and the uniform asymptotic stability of the zero sol
ution.