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

De Blasi, F.; Pianigiani, G.

doi:10.1090/S0002-9939-10-10290-1

Baire category and the weak bang-bang property for continuous differential inclusions
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by F. S. De Blasi and G. Pianigiani PDF

Proc. Amer. Math. Soc. 138 (2010), 2413-2423 Request permission

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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