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Some remarks on set-valued dynamical systems

Published online by Cambridge University Press:  17 February 2009

J. W. Nieuwenhuis
Affiliation:
Econometric Institute, University of Groningen, P.O. Box 800, 9700 AV Groningen, The Netherlands
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Abstract

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It is shown that under some conditions a collection of continuous mappings gives rise to a set-valued dynamical system. Using this it is further shown that under some other conditions the system ẋ(t) ∈ F(x(t)) is equivalent to a set-valued dynamical system.

Information

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1981