RT info:eu-repo/semantics/article T1 Neutral Functional Differential Equations with Applications to Compartmental Systems A1 Villarragut, Víctor M. A1 Novo, Sylvia A1 Obaya, Rafael K1 Nonautonomous Dynamical Systems, Monotone Skew-Product Semiflows, Neutral Functional Differential Equations, Infinite Delay, Compartmental Systems K1 Nonautonomous Dynamical Systems, Monotone Skew-Product Semiflows, Neutral Functional Differential Equations, Infinite Delay, Compartmental Systems K1 Matemáticas: 1202.08 Ecuaciones Funcionales AB 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. PB Society for Industrial and Applied Mathematics YR 2008 FD 2008 LK https://uvadoc.uva.es/handle/10324/65252 UL https://uvadoc.uva.es/handle/10324/65252 LA eng NO SIAM Journal on Mathematical Analysis, Volume 40, Number 3, 2008, Pages 1003-1028 NO Producción Científica DS UVaDOC RD 30-jun-2024