MSC: | 34K19 | Invariant manifolds |

**Abstract:**
The purpose of this work is to construct $C^{1}$-smooth
local center-unstable manifolds at a stationary point for a class of
functional differential equations of the form $\dot{x}(t)=f\left(x_{t}\right)$.
Here the function $f$ under consideration is defined on an open subset of the space $C^{1}([-h,0],
\mathbb{R}^{n})$, $h>0$, and satisfies some mild smoothness conditions which are often fulfilled
when $f$ represents the right-hand side of a differential equation with state-dependent delay.

karin.martin@uni-rostock.de

Seite generiert am 03.04.2012, 09:49 Uhr

Titel des Artikels korrigiert am 07.06.2012