Global Attractor for a Nonautonomous Inclusion with Discontinuous Right-Hand Side

• Date: 2003
• Main Authors: Kapustyan, O. V., Kasyanov, P. O., Капустян, О. В., Касьянов, П. О.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2003
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4017
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider a nonautonomous inclusion the upper and lower selectors of whose right-hand side are determined by functions with discontinuities of the first kind. We prove that this problem generates a family of multivalued semiprocesses for which there exists a global attractor compact in the phase s...