Accurate approximated solution to the differential inclusion based on the ordinary differential equation

• Date: 2021
• Main Authors: Nguyen, T. H., Nguyen , T. H.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2021
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/889
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 Many problems in applied mathematics can be transformed and described by the differential inclusion $\dot x\in f(t, x)-N_Qx$ involving $N_Qx,$ which is a normal cone to a closed convex set $Q \in \mathbb R^n$ at $x\in Q.$ The Cauchy problem of this inclusion is studied in the paper. Since...