Invariant foliations and stability in critical cases

: We construct invariant foliations of the extended state space for nonautonomous semilinear dynamic equations on measure chains (time scales). These equations allow a specific parameter dependence which is the key to obtain perturbation results necessary for applications to an analytical discretiza...

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Bibliographic Details
Published in:Advances in difference equations 2006-07, Vol.2006 (1), p.057043-057043
Main Author: Pötzsche, Christian
Format: Article
Language:English
Online Access:Get full text
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Summary:: We construct invariant foliations of the extended state space for nonautonomous semilinear dynamic equations on measure chains (time scales). These equations allow a specific parameter dependence which is the key to obtain perturbation results necessary for applications to an analytical discretization theory of ODEs. Using these invariant foliations we deduce a version of the Pliss reduction principle.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/1687-1847-2006-057043