Global asymptotic stability of differential equations in the plane
type: Item
instance of: scholarly article
title: Global asymptotic stability of differential equations in the plane
zbMATH Open document ID: 0732.34045
DOI: 10.1016/0022-0396(91)90143-W
author: Armengol Gasull
author: Jaume Llibre
author: Jorge Sotomayor
published in: Journal of Differential Equations
publication date: 1991-01-01T00:00:00Z
review text: Several equivalent conditions are given which guarantee global asymptotic stability of the zero solution of the planar differential equation \(x'=f(x)\) for all \(C^ 1\) functions f whose Jacobian matrix has positive determinant and negative trace throughout the plane.
reviewed by: T. C. Gard
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 4210594
zbMATH Keywords: global asymptotic stability
zbMATH Keywords: planar differential equation
MaRDI profile type: Publication
cites work: The Jacobian matrix and global univalence of mappings
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description: scientific article; zbMATH DE number 4210594