Monotone Semiflows Generated by Functional Differential Equations,

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1986
Accession Number
ADA172251

Entities

People

  • Hal Smith

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Banach Space
  • Contracts
  • Differential Equations
  • Eigenvalues
  • Equations
  • Feedback
  • Formulas (Mathematics)
  • Hypotheses
  • Inclusions
  • Inequalities
  • Maps
  • Notation
  • Standards
  • Steady State
  • Variational Equations

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  • Mathematics

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