We prove that the solutions of a sweeping process make up an R_{\d}-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 alipschitzian 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.

On the Solution Set of the Nonconvex Sweeping Process / Gavioli, Andrea. - In: DISCUSSIONES MATHEMATICAE. DIFFERENTIAL INCLUSIONS. - ISSN 1234-3072. - STAMPA. - 19:(1999), pp. 45-65.

On the Solution Set of the Nonconvex Sweeping Process

GAVIOLI, Andrea
1999

Abstract

We prove that the solutions of a sweeping process make up an R_{\d}-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 alipschitzian 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.
1999
19
45
65
On the Solution Set of the Nonconvex Sweeping Process / Gavioli, Andrea. - In: DISCUSSIONES MATHEMATICAE. DIFFERENTIAL INCLUSIONS. - ISSN 1234-3072. - STAMPA. - 19:(1999), pp. 45-65.
Gavioli, Andrea
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/453699
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