Electronic Journal of Differential Equations,
Vol. 2001(2001), No. 65, pp. 1-35.

Title: Compact attractors for time-periodic age-structured population models
   
Author: Pierre Magal (INRA, Cedex, France)
         
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