Abstract | ||
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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 |
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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 Novo | 1 | 2 | 0.98 |
Rafael Obaya | 2 | 8 | 3.15 |
Víctor Muñoz-Villarragut | 3 | 2 | 0.98 |