Asymptotic stability in functional differential equations by liapunov functionals

Document Type

Article

Publication Date

1-1-1995

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.

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