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

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...

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Datum:2017
Hauptverfasser: Atamas', I. V., Slyn'ko, V. I., Атамась, И. В., Слынько, В. И.
Format: Artikel
Sprache:Russisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2017
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/1766
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal