Abstract
We construct real analytic stable invariant manifolds for sufficiently small perturbations of a linear equation $v'=A(t)v$ admitting a nonuniform exponential dichotomy. As a byproduct of ourapproach we obtain an exponential control not only of thetrajectories on the invariant manifolds, but also of all theirderivatives.
Citation
Luis Barreira. Claudia Valls. "Analytic invariant manifolds for nonautonomous equations." Topol. Methods Nonlinear Anal. 46 (1) 29 - 43, 2015. https://doi.org/10.12775/TMNA.2015.035
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