Conditions for the existence of basic solutions of linear multivalued differential equations

• Date: 2021
• Main Authors: Komleva, T. A., Plotnikov, A. B., Plotnikova, L. I., Skripnik, N. V., Комлева, Т. A., Плотников, А. В., Плотникова, Лилия, Скрипник, Н. В., Комлєва, Т. О., Плотніков, А. В., Плотнікова, Л. І., Скрипник , Н. В.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2021
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6356
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 In this paper, we discusses various definitions and properties of the derivative of a set-valued mapping. Also, we consider a linear set-valued differential equation and investigate the problem of existence of solutions of this equation with Hukuhara derivative, PS-derivative and BG-deriva...