TY - JOUR AU - T. A. Komleva AU - A. B. Plotnikov AU - L. I. Plotnikova AU - N. V. Skripnik PY - 2021/05/24 Y2 - 2024/03/29 TI - Conditions for the existence of basic solutions of linear multivalued differential equations JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 73 IS - 5 SE - Research articles DO - 10.37863/umzh.v73i5.6356 UR - https://umj.imath.kiev.ua/index.php/umj/article/view/6356 AB - UDC 517.9In 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-derivative. The obtained results are illustrated with model examples. ER -