# STABLE MANIFOLDS FOR NON-AUTONOMOUS EQUATIONS WITH NON-UNIFORM POLYNOMIAL DICHOTOMIES

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Let B be a closed linear subspace of a Banach space F and let $\{T_s\}_{s\in G}$ be a group of continuous linear operators $T_s:F\to F$ , where G is a compact topological group. We prove that if $f\in F$ is invariant under $\{T_s\}_{s\in G}$ , then under some conditions on f, F, B, and G, there...