Dichotomy results for delay differential equations with negative Schwarzian derivative

摘要

We gain further insight into the use of the Schwarzian derivative to obtain\udnew results for a family of functional differential equations including the famous\udWright’s equation and the Mackey-Glass type delay differential equations. We present\udsome dichotomy results, which allow us to get easily computable bounds of the global\udattractor. We also discuss related conjectures, and formulate new open problems.