Unite de Biometrie, INRA
78352 Jouy-en-Josas Cedex France
e-mail: magal.pierre@wanadoo.fr
Pierre Magal
Abstract:
In this paper we investigate the existence of compact attractors
for time-periodic age-structured models. So doing we investigate
the eventual compactness of a class of abstract non-autonomous
semiflow (non necessarily periodic). We apply this result to
non-autonomous age-structured models. In the time periodic case,
we obtain the existence of a periodic family of compact subsets
that is invariant by the semiflow, and attract the solutions of
the system.
Submitted August 21, 2001. Published October 8, 2001.
Math Subject Classifications: 33L25, 47D62, 47H20, 92D25
Key Words:
Integrated semigroups, nonlinear evolutionary system,
non-autonomous semiflow, compact attractors, periodic
semiflow, eventual compactness
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Pierre Magal Unite de Biometrie, INRA 78352 Jouy-en-Josas Cedex France e-mail: magal.pierre@wanadoo.fr |
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