Differential equations with set-valued solutions

• Date: 2008
• Main Authors: Komleva, T. A., Plotnikov, A. V., Skripnik, N. V., Комлева, Т. А, Плотников, А. В., Скрипник, Н. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2008
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3247
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Some special space of convex compact sets is considered and notions of a derivative and an integral for multivalued mapping different from already known ones are introduced. The differential equation with multivalued right-hand side satisfying the Caratheodory conditions is also considered and the...