Wright type delay differential equations with negative Schwarzian

Eduardo Liz; Manuel Pinto; Gonzalo Robledo; Sergei Trofimchuk; Victor Tkachenko

doi:10.3934/dcds.2003.9.309

Article Contents

2003, Volume 9, Issue 2: 309-321. Doi: 10.3934/dcds.2003.9.309

This issue Previous Article Orbital and weak shadowing properties Next Article Quasi-invariant attractors of piecewise isometric systems

Wright type delay differential equations with negative Schwarzian

1.
Departamento de Matemática Aplicada II, E.T.S.I. Telecomunicación, Universidad de Vigo, Campus Marcosende, 36280 Vigo
2.
Departamento de Matemáticas, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago
3.
Institute of Mathematics, National Academy of Sciences of Ukraine, Tereshchenkivs'ka str. 3, Kiev

Received: August 2001

Revised: May 2002

Published: March 2003

Abstract Related Papers Cited by

Abstract

We prove that the well-known $3/2$ stability condition established for the Wright equation (WE) still holds if the nonlinearity $p(\exp(-x)-1)$ in WE is replaced by a decreasing or unimodal smooth function $f$ with $f'(0)<0$ satisfying the standard negative feedback and below boundedness conditions and having everywhere negative Schwarz derivative.

Keywords:

Mathematics Subject Classification: 34K20.

Citation:

Article Metrics

HTML views() PDF downloads(88) Cited by(0)

Wright type delay differential equations with negative Schwarzian

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Wright type delay differential equations with negative Schwarzian

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content