EQUI-ATTRACTION AND THE CONTINUOUS DEPENDENCE OF PULLBACK ATTRACTORS ON PARAMETERS
2004 ◽
Vol 04
(03)
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pp. 373-384
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Keyword(s):
The equi-attraction properties of uniform pullback attractors [Formula: see text] of nonautonomous dynamical systems (θ,ϕλ) with a parameter λ∈Λ, where Λ is a compact metric space, are investigated; here θ is an autonomous dynamical system on a compact metric space P which drives the cocycle ϕλon a complete metric state space X. In particular, under appropriate regularity conditions, it is shown that the equi-attraction of the family [Formula: see text] uniformly in p∈P is equivalent to the continuity of the setvalued mappings [Formula: see text] in λ with respect to the Hausdorff metric on the nonempty compact subsets of X.
Keyword(s):
2018 ◽
Vol 20
(07)
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pp. 1750086
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Keyword(s):
Keyword(s):
2017 ◽
Vol 27
(08)
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pp. 1750119
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Keyword(s):
1988 ◽
Vol 38
(3)
◽
pp. 393-395
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Keyword(s):
1975 ◽
Vol 18
(5)
◽
pp. 709-714
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2016 ◽
Vol 38
(1)
◽
pp. 143-154
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Keyword(s):
1979 ◽
Vol 31
(1)
◽
pp. 130-138
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2018 ◽
Vol 32
(15)
◽
pp. 1850166
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