an:03866054
Zbl 0544.49008
Balder, E. J.
A general denseness result for relaxed control theory
EN
Bull. Aust. Math. Soc. 30, 463-475 (1984).
00149422
1984
j
49J45 49J27 28B20 46A04 46A50
elimination of relaxation; relaxed control; integrals of multifunctions
Author's summary: ''A result by the author on the elimination of randomization (or relaxation) for variational problems is partially extended and then used to obtain a very general result on the denseness of the set of original control functions in the set of relaxed control functions. Also, a slight extension of Aumann's theorem on the integrals of multifunctions is shown to follow directly from the elimination result''.
C.Vinti