A viability result in the upper semicontinuous case.
Existence of periodic orbits for vector fields via Fuller index and the averaging method.
On the solution set of the nonconvex sweeping process
We prove that the solutions of a sweeping process make up an -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.
Approximation from the exterior of Carathéodory multifunctions
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