# American Institute of Mathematical Sciences

2003, 2003(Special): 580-589. doi: 10.3934/proc.2003.2003.580

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

 1 Departamento de Matemática Aplicada II, E.T.S.I. Telecomunicación, Universidad de Vigo, Campus Marcosende, 36280 Vigo 2 Institute of Mathematics, National Academy of Sciences of Ukraine, Tereshchenkivs'ka str. 3, Kiev 3 Departamento de Matemáticas, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago

Received  September 2002 Revised  March 2003 Published  April 2003

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.
Citation: Eduardo Liz, Victor Tkachenko, Sergei Trofimchuk. Yorke and Wright 3/2-stability theorems from a unified point of view. Conference Publications, 2003, 2003 (Special) : 580-589. doi: 10.3934/proc.2003.2003.580
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