Asymptotic almost-equivalence of abstract evolution systems

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Alvarez, Felipe
Peypouquet, Juan
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We study the asymptotic behavior of almost-orbits of abstract evolution systems in Banach spaces with or without a Lipschitz assumption. In particular, we establish convergence, convergence in average and almost-convergence of almost-orbits both for the weak and the strong topologies based on the behavior of the orbits. We also analyze the set of almost-stationary points.
Keywords
Mathematics - Functional Analysis, Mathematics - Classical Analysis and ODEs
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