This article is cited in 6 papers

Brief communications

The Stability of Fixed Points of Discrete Dynamical Systems in the Space $\operatorname{conv}\mathbb{R}^n$

V. I. Slyn'ko

Institute of Mechanics named after S. P. Timoshenko of National Academy of Sciences of Ukraine

Abstract: Conditions for the asymptotic Lyapunov stability of the fixed points of discrete dynamical systems in the space $\operatorname{conv}\mathbb{R}^n$ are established.

Keywords: discrete dynamical systems, space $\operatorname{conv}\mathbb{R}^n$, Lyapunov stability.

UDC: 517.36

Received: 16.06.2015

DOI: 10.4213/faa3236

 English version: Functional Analysis and Its Applications, 2016, 50:2, 163–165

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