Almost
automorphic and almost periodic dynamics for
quasimonotone
non-autonomous differential equations
with
Sylvia Novo and Rafael Obaya,
J. Dynam. Differential Equations 17
(3) (2005), 589-619.
The occurrence of almost
automorphic dynamics for monotone non-autonomous
recurrent finite-delay functional differential equations is analyzed.
Topological methods
are used to ensure its presence in the case of existence of
semicontinuous
semi-equilibria. When these semi-equilibria are continuous and strong,
the presence
of almost automorphic extensions is persistent under small
perturbations. The above
method provides a minimal set isomorphic to the base in the case of a
convex
semiflow. Some examples show the applicability of these results.
