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Open Access

Fixed points, stability, and harmless perturbations

Fixed Point Theory and Applications20052005:364505

Received: 14 July 2004

Published: 28 April 2005


Much has been written about systems in which each constant is a solution and each solution approaches a constant. It is a small step to conjecture that functions promoting such behavior constitute harmless perturbations of stable equations. That idea leads to a new way of avoiding delay terms in a functional-differential equation. In this paper we use fixed point theory to show that such a conjecture is valid for a set of classical equations.

Authors’ Affiliations

Northwest Research Institute, Port Angeles, USA


© Burton 2005