Local invariant manifolds for delay differential equations with state space in $C^1((-\infty,0],\mathbb{R}^n)$

Local invariant manifolds for delay differential equations with state space in $C^1((-\infty,0],\mathbb{R}^n)$

Consider the delay differential equation $x'(t)=f(x_t)$ with the history $x_t:(-\infty,0]\to\mathbb{R}^n$ of $x$ at 'time' $t$ defined by $x_t(s)=x(t+s)$. In order not to lose any possible entire solution of any example we work in the Fréchet space $C^1((-\infty,0],\mathbb{R}^n)$, wit...

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Bibliographic Details
Main Author: Hans-Otto Walther
Format: Article
Language:English
Published: University of Szeged 2016-09-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
delay differential equation
state-dependent delay
unbounded delay
fréchet space
local invariant manifold
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4679

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http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4679

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