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

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

2002-10-30

arxiv.org/abs/math/0210453v2

Mathematics

Dynamical Systems

10 pages, accepted for publication in the Expanded Volume of DCDS, devoted to the fourth international conference on Dynamical

Scientific paper

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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