Convergence and uniform stability in a nonlinear delay difference system
type: Item
instance of: scholarly article
title: Convergence and uniform stability in a nonlinear delay difference system
zbMATH Open document ID: 0834.39008
DOI: 10.1016/0895-7177(95)00110-N
published in: Mathematical and Computer Modelling
publication date: 1996-03-31T00:00:00Z
review text: By constructing a suitable Lyapunov functional, the author obtains sufficient conditions for the zero solution of the delay difference system \(\Delta x_n=f_n(x_n,x_{n- 1},\dots,x_{n- k})\) to be uniformly stable. For related results see the paper of \textit{R. D. Driver}, \textit{G. Ladas} and \textit{P. N. Vlahos} [Proc. Am. Math. Soc. 115, No. 1, 105-112 (1992; Zbl 0751.39001)].
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 810951
zbMATH Keywords: convergence
zbMATH Keywords: uniform stability
zbMATH Keywords: nonlinear delay difference system
zbMATH Keywords: Lyapunov functional
zbMATH Keywords: zero solution
author: Mihály Pituk
MaRDI profile type: Publication
cites work: Q5688577
cites work: Asymptotic Behavior of a Linear Delay Difference Equation
cites work: Q4033029
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description: scientific article; zbMATH DE number 810951