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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

Eduardo Liz 1, , Victor Tkachenko 2, and  Sergei Trofimchuk 3,

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.
Keywords: delay differential equations., 3\2 stability condition, global stability.
Mathematics Subject Classification: 34K2.
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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