Monotone Semiflows Generated by Functional Differential Equations

摘要

This obtains sufficient condition for an autonomous functional differential equation to generate a strongly monotone semiflow on a suitable state space. This allows the application to functional differential equations of very powerful recent results on strongly monotone semiflows due to Hirsch and Matano. In addition, a very striking relationship is established between such functional differential equations and corresponding ordinary differential equations. An example, involving a biochemical feedback loop is considered. Keywords: stability; steady states.