On subharmonic solutions of systems of difference equations with periodic perturbations. II: Multiplicity and stability
type: Item
instance of: scholarly article
title: On subharmonic solutions of systems of difference equations with periodic perturbations. II: Multiplicity and stability
zbMATH Open document ID: 1011.39015
DOI: 10.1016/S0022-247X(02)00638-8
author: Ruyuan Zhang
author: Junjie Wei
author: Jianhong Wu
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-02-11T00:00:00Z
review text: Under the additional assumption that the function \(g\) in part I [ibid. 275, No. 2, 495-511 (2002; Zbl 1011.39014)] above is locally Lipschitz continuous in \(x\), the precise number of solutions of equation \((*)\) is determined, and their stability behaviour is investigated.
Mathematics Subject Classification ID: 39A11
Mathematics Subject Classification ID: 39A05
zbMATH DE Number: 1866758
zbMATH Keywords: subharmonic solutions
zbMATH Keywords: systems of difference equations
zbMATH Keywords: periodic perturbations
zbMATH Keywords: multiplicity
zbMATH Keywords: periodic solutions
zbMATH Keywords: stability
reviewed by: Lothar Berg
MaRDI profile type: Publication
cites work: On some difference equations with eventually periodic solutions
cites work: Periodic solutions of difference equations with general periodicity
cites work: Periodic solutions of difference equations
cites work: Ordinary differential equations with nonlinear boundary conditions
cites work: Periodic solutions of a perturbed difference equation
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
cites work: Difference equation analysis of non-linear subharmonic and superharmonic oscillations
cites work: Theory of difference equations: Numerical methods and applications
cites work: Q4747057
cites work: On the Hartman-Grobman theorem for maps
cites work: Periodic solutions of a single species discrete population model with periodic harvest/stock
description: scientific article; zbMATH DE number 1866758