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2024-01-30T00:20:00Z urn:hdl:10324/65253 Exponential Ordering for Nonautonomous Neutral Functional Differential Equations Novo, Sylvia Obaya, Rafael Villarragut, Víctor M. Producción Científica We study monotone skew-product semiflows generated by families of nonautonomous neutral functional differential equations with infinite delay and stable D-operator, when the expo- nential 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. 2024-01-30T00:20:00Z 2024-01-30T00:20:00Z 2009 info:eu-repo/semantics/article SIAM Journal on Mathematical Analysis, Volume 41, Number 3, 2009, Pages 1025-1053 0036-1410 https://uvadoc.uva.es/handle/10324/65253 10.1137/080744682 1025 3 1053 SIAM Journal on Mathematical Analysis 41 1095-7154 eng https://epubs.siam.org/doi/10.1137/080744682 info:eu-repo/semantics/openAccess Society for Industrial and Applied Mathematics