English

Wright type delay differential equations with negative Schwarzian

Dynamical Systems 2007-05-23 v2

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)p(\exp(-x)-1) in WE is replaced by a decreasing or unimodal smooth function f with f(0)<0f'(0)<0 satisfying the standard negative feedback and below boundedness conditions and having everywhere negative Schwarz derivative.

Cite

@article{arxiv.math/0111285,
  title  = {Wright type delay differential equations with negative Schwarzian},
  author = {E. Liz and M. Pinto and G. Robledo and V. Tkachenko and S. Trofimchuk},
  journal= {arXiv preprint arXiv:math/0111285},
  year   = {2007}
}

Comments

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