Dichotomies for evolution equations in Banach spaces

Mathematics – Classical Analysis and ODEs

Scientific paper

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22 pages

Scientific paper

The aim of this paper is to emphasize various concepts of dichotomies for
evolution equations in Banach spaces, due to the important role they play in
the approach of stable, instable and central manifolds. The asymptotic
properties of the solutions of the evolution equations are studied by means of
the asymptotic behaviors for skew-evolution semiflows.

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