Asymptotic behavior of a Poincaré recurrence system
type: Item
instance of: scholarly article
title: Asymptotic behavior of a Poincaré recurrence system
zbMATH Open document ID: 0892.39008
author: Mihály Pituk
published in: Journal of Approximation Theory
publication date: 1998-08-16T00:00:00Z
review text: The author establishes asymptotic formulae for the solutions of the first order recurrence system \[ x_{n+1}= (A+B_n)x_n \] where \(x_n (n=0,1,2, \dots)\) are \(k\)-dimensional complex column vectors and \(A\) and \(B_n\) \((n=0,1,2, \dots)\) are \(k\times k\) matrices with complex entries.
Mathematics Subject Classification ID: 39A11
zbMATH DE Number: 1100513
zbMATH Keywords: Poincaré recurrence system
zbMATH Keywords: asymptotic formulae
zbMATH Keywords: first order recurrence system
reviewed by: R. P. Agarwal
MaRDI profile type: Publication
full work available at URL: jath.1996.3095
OpenAlex ID: W2021134238
cites work: Convergence to equilibria in recurrence equations
cites work: Asymptotic Behavior of Solutions of Ordinary Difference Equations
cites work: Q3293417
cites work: The asymptotic estimates of solutions of difference equations
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cites work: Asymptotic Behavior of a Poincaré Difference Equation
cites work: Asymptotic Behavior of Solutions of Poincare Difference Equations
cites work: Asymptotic behavior of solutions of Poincaré recurrence systems
DOI: 10.1006/JATH.1996.3095
description: scientific article; zbMATH DE number 1100513