Random attractors for ambiguously solvable systems dissipative with respect to probability

• Date: 2004
• Main Authors: Kapustyan, O. V., Капустян, О. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2004
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3807
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We prove a theorem on the existence of a random attractor for a multivalued random dynamical system dissipative with respect to probability. Abstract results are used for the analysis of the qualitative behavior of solutions of a system of ordinary differential equations with continuous right-hand s...