Geodesic
Upper semicontinuity of attractors of non-autonomous dynamical systems for small perturbations
Electronic journal of differential equations, Tome 2002 (2002)
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).
Classification : 34D20, 34D40, 34D45, 58F10, 58F12, 35B35, 35B40
Keywords: monotone system, nonautonomous dynamical system, skew-product flow, global attractor 
@article{EJDE_2002__2002__a62,
     author = {Cheban,  David N.},
     title = {Upper semicontinuity of attractors of non-autonomous dynamical systems for small perturbations},
     journal = {Electronic journal of differential equations},
     year = {2002},
     volume = {2002},
     zbl = {1016.34056},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a62/}
}
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%J Electronic journal of differential equations
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Cheban,  David N. Upper semicontinuity of attractors of non-autonomous dynamical systems for small perturbations. Electronic journal of differential equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a62/