Global stability for a class of delay differential equations.
type: Item
instance of: scholarly article
title: Global stability for a class of delay differential equations.
zbMATH Open document ID: 1064.34061
DOI: 10.1016/S0893-9659(04)90129-2
published in: Applied Mathematics Letters
publication date: 2005-02-25T00:00:00Z
review text: The paper is concerned with the study of the behavior of solutions of the delay differential equation \[ {\dot x}(t) = \alpha f(x(t-1)), x(t) = x^0(t) \quad\text{for }t \in [-1, 0] \] where \(\alpha \geq 0\) and \(f\) is a continuously differentiable unimodal mapping with \(f(0)=f(1)=0\). The author gives sufficient conditions for the nonnegativity of solutions of the equation and for the global stability of the solutions.
reviewed by: Bogdan Sasu
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 2138626
zbMATH Keywords: delay differential equation
zbMATH Keywords: stability
zbMATH Keywords: global stability
author: Urszula Foryś
describes a project that uses: PSPManalysis
MaRDI profile type: Publication
cites work: Q4829718
cites work: NUMERICAL CONTINUATION OF EQUILIBRIA OF PHYSIOLOGICALLY STRUCTURED POPULATION MODELS I: THEORY
cites work: Q4459132
cites work: The nonnegativity of solutions to delay differential equations
cites work: BIOLOGICAL DELAY SYSTEMS AND THE MIKHAILOV CRITERION OF STABILITY
description: scientific article; zbMATH DE number 2138626