Title
Exponential Ordering for Nonautonomous Neutral Functional Differential Equations
Abstract
We study monotone skew-product semiflows generated by families of nonautonomous neutral functional differential equations with in finite delay and stable D-operator, when the exponential ordering is considered. Under adequate hypotheses of stability for the order on bounded sets, we show that the omega-limit sets are copies of the base to explain the long-term behavior of the trajectories. The application to the study of the amount of material within the compartments of a neutral compartmental system with infinite delay shows the improvement with respect to the standard ordering.
Year
DOI
Venue
2009
10.1137/080744682
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Keywords
Field
DocType
nonautonomous dynamical systems,monotone skew-product semiflows,exponential ordering,neutral functional differential equations,compartmental systems
Differential equation,Mathematical optimization,Exponential function,Mathematical analysis,Monotone polygon,Mathematics,Bounded function
Journal
Volume
Issue
ISSN
41
3
0036-1410
Citations 
PageRank 
References 
0
0.34
1
Authors
3
Name
Order
Citations
PageRank
Sylvia Novo120.98
Rafael Obaya283.15
Víctor Muñoz-Villarragut320.98