Open Access

Fixed points, stability, and harmless perturbations

Fixed Point Theory and Applications20052005:364505

DOI: 10.1155/FPTA.2005.35

Received: 14 July 2004

Published: 28 April 2005

Abstract

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

(1)
Northwest Research Institute

Copyright

© Burton 2005