Accession Number:

ADA172251

Title:

Monotone Semiflows Generated by Functional Differential Equations,

Descriptive Note:

Corporate Author:

BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS

Personal Author(s):

• Smith,Hal

Report Date:

1986-02-01

Pagination or Media Count:

40.0

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.

Descriptors:

• *DIFFERENTIAL EQUATIONS
• *FUNCTIONAL ANALYSIS
• *MAPPING(TRANSFORMATIONS)
• STEADY STATE
• BIOCHEMISTRY
• FEEDBACK
• LOOPS
• BANACH SPACE

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE