Wright type delay differential equations with negative Schwarzian

2001/11/27 by Eduardo Liz, E. Liz, M. Pinto +12
Computer Science · Engineering · Mathematics · #34K20 #92D25 #Advanced Mathematical Modeling in Engineering #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Stability and Controllability of Differential Equations #math.DS #msc:34K20 #msc:92D25

paper · pdf · doi:10.48550/arxiv.math/0111285

12 pages, 1 figure. Some references and comments added to the previous version. Accepted for publication in Discrete and continuous Dynamical Systems

openalex publication_date 2001/11/27 · arxiv created 2002/03/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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