C^k invariant manifolds for infinite delay

For a non-autonomous delay difference equation with infinite delay, we construct smooth stable and unstable invariant manifolds for any sufficiently small perturbation of an exponential dichotomy. We consider a general class of norms on the phase space satisfying an axiom considered by Matsunaga...

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Bibliographic Details
Main Authors: Luis Barreira, Claudia Valls
Format: Article
Language:English
Published: Texas State University 2019-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2019/50/abstr.html