Stability of fixed points for a class of quasilinear cascades in the space conv $R^n$

• Date: 2017
• Main Authors: Atamas', I. V., Slyn'ko, V. I., Атамась, И. В., Слынько, В. И.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2017
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1766
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The discrete dynamical systems (cascades) in semilinear metric space of nonempty convex compacts of finite-dimensional space are studied. Using the methods of convex geometry of H. Minkowski and A. D. Alexandrov the sufficient conditions of the stability of the fixed points were established. Under c...