Asymptotic stability in functional differential equations by liapunov functionals
Abstract
We consider the asymptotic stability in a system of functional differential equations x'(t) = F(t, xt) by Liapunov functionals V. The work generalizes some well-known results in the literature in that we only require the derivative of V to be negative definite on a sequence of intervals = [sn, tn]. We also show that it is not necessary to require a uniform upper bound on V for nonuniform asymptotic stability. © 1995 American Mathematical Society.
This paper has been withdrawn.