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arXiv:0807.3452 [math.DS]AbstractReferencesReviewsResources

Dichotomy results for delay differential equations with negative Schwarzian

Eduardo Liz, Gergely Röst

Published 2008-07-22Version 1

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.

Comments: 16 pages, submitted to Chaos,Solitons,Fractals
Journal: Nonlinear Analysis: Real World Applications 11(3), 1422-1430, 2010
Categories: math.DS, math.CA
Subjects: 34K20, 34D45
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