Evolution problems associated with nonconvex closed moving sets with bounded variation.
Quelques résultats de compacité liés à l'intégration
Équations différentielles multivoques dans les espaces vectoriels localement convexes
Convergence results for a class of pramarts and superpramarts in Banach spaces
Periodic solutions of evolution problem associated with moving convex sets
This paper is concerned with periodic solutions for perturbations of the sweeping process introduced by J.J. Moreau in 1971. The perturbed equation has the form where C is a T-periodic multifunction from [0,T] into the set of nonempty convex weakly compact subsets of a separable Hilbert space H, is the normal cone of C(t) at u(t), f:[0,T] × H∪H is a Carathéodory function and Du is the differential measure of the periodic BV solution u. Several existence results of periodic solutions for this...
Convergence of conditional expectations for unbounded closed convex random sets
We discuss here several types of convergence of conditional expectations for unbounded closed convex random sets of the form where is a decreasing sequence of sub-σ-algebras and is a sequence of closed convex random sets in a separable Banach space.
Page 1