Department of Operations Research multi-function differential inclusion directional continuity upper and low semi-continuity
Institute of Mathematics with Computer Center at the Bulgarian Academy of Sciences
An existence theorem is proved for solutions of autonomous differential inclusions with an upper semicontinuous and nonconvex right-hand side. The proof is based on an inner and directional continuous parameterization. The solution is obtained as a limit of disturbed systems solutions. An example of differential equiation with discontinuous right-hand side is considered. AMS (MOS) subject classification. 34A60.
[Ivanov R. P.; Иванов Р. П.]; [Kitanov N. M.; Китанов Н. М.]