Upper semi continuity of attractors of delay differential equations in the delay
2006 ◽
Vol 73
(2)
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pp. 299-306
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Keyword(s):
It is shown that if a retarded delay differential equation has a global attractor in the space C ([—τ0, ], ℝd) for a given nonzero constant delay τ0, then the equation has an attractor Aτ in the space C ([—τ, 0], ℝd) for nearby constant delays τ. Moreover the attractors Aτ converge upper semi continuously to in C ([—τ0, 0], ℝd) in the sense that they are identified through corresponding segments of entire trajectories in ℝd with nonempty compact subsets of C ([—τ0, 0], ℝd) which converge upper semi continuously to in C ([—τ0, 0], ℝd).
1986 ◽
Vol 29
(4)
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pp. 438-445
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2021 ◽
Vol 12
(4)
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pp. 325-335
2019 ◽
Vol 39
(4)
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pp. 483-495
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1998 ◽
Vol 41
(2)
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pp. 207-213
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2009 ◽
Vol 43
(1)
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pp. 71-79