Dichotomy results for delay differential equations with negative Schwarzian derivative

Liz, E. and Röst, Gergely (2010) Dichotomy results for delay differential equations with negative Schwarzian derivative. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 11 (3). pp. 1422-1430. ISSN 1468-1218

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Abstract

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

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