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