Global stability, two conjectures and Maple
type: Item
instance of: scholarly article
title: Global stability, two conjectures and Maple
zbMATH Open document ID: 1121.39004
author: Roger D. Nussbaum
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2007-02-19T00:00:00Z
review text: For the differences equation \(u_{n+1}= f(u_{n-1}, u_n)\) with positive initial values the global aymptotic stability of the equilibrium is shown in the cases \(f(u,v)= (u+ pv)/(u+ qv)\) with \(0\leq q< p\), and \(f(u,v)= (p+ qv)/(1+ u)\) under more complicated conditions for \(p\), \(q\). Some generalizations are discussed, where a Maple program is used.
Mathematics Subject Classification ID: 39A11
Mathematics Subject Classification ID: 39A20
Mathematics Subject Classification ID: 65Q05
zbMATH DE Number: 5127997
zbMATH Keywords: rational difference equations
zbMATH Keywords: global asymptotic stability
zbMATH Keywords: Maple program
Wikidata QID: Q123277983
reviewed by: Lothar Berg
describes a project that uses: Maple
MaRDI profile type: Publication
full work available at URL: j.na.2006.01.005
OpenAlex ID: W1994784231
cites work: Q5619504
cites work: Q5727924
cites work: Q5185568
cites work: Q4421936
cites work: Q3137926
cites work: On rational recursive sequences
cites work: A rational difference equation
cites work: Q4143788
cites work: Q4774620
cites work: Q3679776
cites work: A global bifurcation theorem with applications to functional differential equations
cites work: Q3730503
DOI: 10.1016/J.NA.2006.01.005
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description: scientific article; zbMATH DE number 5127997