Existence of Solutions to the Nonconvex
โ
Houcine Benabdellah
๐
Article
๐
2000
๐
Elsevier Science
๐
English
โ 133 KB
In this note, we prove the existence of solutions for the sweeping process problem x$(t) # &N C(t) (x(t)) a.e., x(t) # C(t), x(0)=x 0 # C(0), where C(.) is an arbitrary Hausdorff Lipschitzean multifunction, from I=[0, T] onto the set of nonempty closed subsets of R d . This generalizes a well known