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On regularization of right hand sides of differential relations
Published online by Cambridge University Press: 14 November 2011
Synopsis
Let the values of F be convex compact subsets of Rn and let F be upper semicontinuous with respect to x. There are two ways known of replacing F by a more regular map so that the set of solutions of (2) remains unchanged. We prove that both ways lead to the same more regular map and extend the results to the case where Rn is replaced by a separable Banach space.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 97 , 1984 , pp. 151 - 159
- Copyright
- Copyright © Royal Society of Edinburgh 1984
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