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ISSN 1088-6826(e) ISSN 0002-9939(p)

Baire category and the weak bang-bang property for continuous differential inclusions

Author(s): F. S. De Blasi; G. Pianigiani
Journal: Proc. Amer. Math. Soc. 138 (2010), 2413-2423.
MSC (2010): Primary 34AXX
Posted: March 15, 2010
MathSciNet review: 2607871
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Abstract: For continuous differential inclusions the classical bang-bang property is known to fail, yet a weak form of it is established here, in the case where the right hand side is a multifunction whose values are closed convex and bounded sets with nonempty interior contained in a reflexive and separable Banach space. Our approach is based on the Baire category method.

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