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

E. Liz·V. Tkachenko·S. Trofimchuk
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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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E. Liz, V. Tkachenko, S. Trofimchuk. 2003-03-10. Yorke and Wright 3/2-stability theorems from a unified point of view. https://arxiv.org/abs/math/0210453

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