Lefschetz Center for Dynamical Systems, Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912 USA
Abstract:
Consider the class of retarded functional differential equations , (1) where xt(θ) = x(t + θ), ?1 ? θ ? 0, so xt?C = C(?1, 0], Rn), and . Let 2 ? r ? ∞ and give the appropriate (Whitney) topology. Then the set of such that all fixed points and all periodic solutions of (1) are hyperbolic is residual in
