Yorke and Wright 3/2-stability theorems from a unified point of view

2002/10/30 by E. Liz, Liz, E., V. Tkachenko +3
Mathematics · #34K20 #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS #msc:34K20

paper · pdf · doi:10.48550/arxiv.math/0210453

10 pages, accepted for publication in the Expanded Volume of DCDS, devoted to the fourth international conference on Dynamical Systems and Differential Equations, held at UNC at Wilmington, May 2002. Minor changes from the previous version

arxiv created 2003/03/10 · arxiv updated 2009/11/30

Abstract

We consider a family of scalar delay differential equations x'(t)=f(t,x_t), with a nonlinearity f satisfying a negative feedback condition combined with a boundedness condition. We present a global stability criterion for this family, which in particular unifies the celebrated 3/2-conditions given for the Yorke and the Wright type equations. We illustrate our results with some applications.

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