On the solution set of the nonconvex sweeping process
Andrea Gavioli
Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 19 (1999), p. 45-65 / Harvested from The Polish Digital Mathematics Library
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We prove that the solutions of a sweeping process make up an Rδ-set under the following assumptions: the moving set C(t) has a lipschitzian retraction and, in the neighbourhood of each point x of its boundary, it can be seen as the epigraph of a lipschitzian function, in such a way that the diameter of the neighbourhood and the related Lipschitz constant do not depend on x and t. An application to the existence of periodic solutions is given.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:275880 
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Andrea Gavioli. On the solution set of the nonconvex sweeping process. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 19 (1999) pp. 45-65. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-div19i1-2n4bwm/

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