Global Lipschitz Invariant Center Manifolds for ODEs with Generalized Trichotomies
Dynamical Systems
2017-07-28 v1
Abstract
In a Banach space, assuming that a linear nonautonomous differential equation admits a very general type of trichotomy, we establish conditions for the existence of global Lipschitz invariant center manifold of the perturbed equation . Our results not only improve results already existing in the literature, as well include new cases.
Keywords
Cite
@article{arxiv.1707.08909,
title = {Global Lipschitz Invariant Center Manifolds for ODEs with Generalized Trichotomies},
author = {António J. G. Bento and Cristina Tomás da Costa},
journal= {arXiv preprint arXiv:1707.08909},
year = {2017}
}