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On ω–limit sets of autonomous systems in infinite dimensional Banach spaces

Published online by Cambridge University Press:  17 April 2009

Gerd Herzog
Gerd Herzog
Affiliation:
Mathematisches Institut I, Universität Karlsruhe, D-76128 Karlsruhe, Germany, e-mail: gerd.herzog@math.uni-karlsruhe.de
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Abstract

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We prove that each Polish space is homeomorphic to the ω–limit set of a bounded solution of an autonomous equation x′ = f (x) in l2 × c0, in which f is Lipschitz continuous on bounded sets.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 61 , Issue 3 , June 2000 , pp. 459 - 462
Copyright
Copyright © Australian Mathematical Society 2000

References

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