Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 42, pp. 1-21.

Title: Upper semicontinuity of attractors of non-autonomous
       dynamical systems for small perturbations
   
Author: David N. Cheban (State Univ. of Moldova, Moldova)

Abstract: 
  We study the problem of upper semicontinuity of compact
  global attractors of non-autonomous dynamical systems for small
  perturbations. For the general nonautonomous dynamical systems,
  we give the conditions of upper semicontinuity of attractors for
  small parameter. Several applications of these results are given
  (quasihomogeneous systems, monotone systems, nonautonomously
  perturbed systems, nonautonomous 2D Navier-Stokes equations and
  quasilinear functional-differential equations).

Submitted February 11, 2002. Published May 17, 2002.
Math Subject Classifications:
     34D20, 34D40, 34D45, 58F10, 58F12, 35B35, 35B40
Key Words: monotone system; nonautonomous dynamical system; 
     skew-product flow; global attractor; almost periodic motions