TY  - JOUR
A1  - Pötzsche, Christian
A1  - Siegmund, Stefan
T1  - Cm-smoothness of invariant fiber bundles for dynamic equations on measure chains
T2  - Advances in difference equations
N2  - We present a new self-contained and rigorous proof of the smoothness of invariant fiber bundles for dynamic equations on measure chains or time scales. Here, an invariant fiber bundle is the generalization of an invariant manifold to the nonautonomous case. Our main result generalizes the “Hadamard-Perron theorem” to the time-dependent, infinite-dimensional, noninvertible, and parameter-dependent case, where the linear part is not necessarily hyperbolic with variable growth rates. As a key feature, our proof works without using complicated technical tools.
Y1  - 2004
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/7578
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30-75571
SN  - 1687-1847
SN  - 1687-1839
N1  - Copyright © 2004 Hindawi Publishing Corporation
VL  - 1
IS  - 2
SP  - 141
EP  - 182
PB  - Hindawi
CY  - New York, NY
ER  -