Electron. J. Diff. Eqns., Vol. 2002(2002), No. 42, pp. 1-21.

Upper semicontinuity of attractors of non-autonomous dynamical systems for small perturbations

David N. Cheban

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

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David N. Cheban
Department of Mathematics and Informatics
State University of Moldova
A. Mateevich Street 60
Chisinau, MD-2009, Moldova
e-mail: cheban@usm.md

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