Funkcialaj Ekvacioj
Print ISSN : 0532-8721
Center Manifolds for Delay Equations
Luis BarreiraClaudia Valls
Author information
JOURNAL FREE ACCESS

2020 Volume 63 Issue 1 Pages 39-65

Details
Abstract

We give a streamlined detailed proof of the existence of smooth center invariant manifolds for nonautonomous delay equations for which the linear part has an exponential trichotomy. More precisely, we consider Ck perturbations with Lipschitz kth derivative and we obtain the same regularity for the center manifolds. We first construct Lipschitz center invariant manifolds for nonautonomous delay equations under sufficiently small Lipschitz perturbations.

Content from these authors
© 2020 by the Division of Functional Equations, The Mathematical Society of Japan
Previous article Next article
feedback
Top