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Neutral Functional Differential Equations with Applications to Compartmental Systems Villarragut, Víctor M. Novo, Sylvia Obaya, Rafael Nonautonomous Dynamical Systems, Monotone Skew-Product Semiflows, Neutral Functional Differential Equations, Infinite Delay, Compartmental Systems Producción Científica We study the monotone skew-product semiflow generated by a family of neutral functional differential equations with infinite delay and stable D-operator. The stability properties of D allow us to introduce a new order and to take the neutral family to a family of functional differential equations with infinite delay. Next, we establish the 1-covering property of omega-limit sets under the componentwise separating property and uniform stability. Finally, the obtained results are applied to the study of the long-term behavior of the amount of material within the compartments of a neutral compartmental system with infinite delay. 2024-01-30T00:04:33Z 2024-01-30T00:04:33Z 2008 info:eu-repo/semantics/article SIAM Journal on Mathematical Analysis, Volume 40, Number 3, 2008, Pages 1003-1028 https://uvadoc.uva.es/handle/10324/65252 10.1137/070711177 1003 3 1028 Neutral Functional Differential Equations with Applications to Compartmental Systems 40 eng https://epubs.siam.org/doi/10.1137/080744682 info:eu-repo/semantics/openAccess Society for Industrial and Applied Mathematics SI