Asymptotic almost-equivalence of abstract evolution systems

Details Asymptotic almost-equivalence of abstract evolution systems Asymptotic almost-equivalence of abstract evolution systems

2009-04-14

arxiv.org/abs/0904.2157v1

Mathematics

Functional Analysis

Scientific paper

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.

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