an:00056730
Zbl 0784.54024
Tolstonogov, A. A.
Extremal selections of multivalued mappings and the ''bang-bang'' principle for evolution inclusions
EN
Sov. Math., Dokl. 43, No. 2, 481-485 (1991); translation from Dokl. Akad. Nauk SSSR 317, No. 3, 589-593 (1991).
00180780
1991
j
54C65 34A60 54C60 49J30
differential inclusion; continuous selections; multivalued mappings; Scorza-Dragoni property; evolution inclusions; Banach spaces
The author presents a theorem on the existence of continuous selections of multivalued mappings having the Scorza-Dragoni property. Applications to the question of existence as well as some properties of extremal solutions of certain classes of evolution inclusions in Banach spaces are also given. The facts are announced without proofs.
K.Nikodem (Bielsko-Bia??a)