Fixed points, stability, and harmless perturbations

oleh: Burton TA

Format: Article
Diterbitkan: SpringerOpen 2005-01-01

Deskripsi

<p/> <p>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.</p>