RT info:eu-repo/semantics/article
T1 Exponential Ordering for Nonautonomous Neutral Functional Differential Equations
A1 Novo, Sylvia
A1 Obaya, Rafael
A1 Villarragut, Víctor M.
K1 Nonautonomous Dynamical Systems, Monotone Skew-Product Semiflows, Exponential Ordering, Neutral Functional Differential Equations, Compartmental Systems
K1 Matemáticas: 1202.08 Ecuaciones Funcionales
AB 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.
PB Society for Industrial and Applied Mathematics
SN 0036-1410
YR 2009
FD 2009
LK https://uvadoc.uva.es/handle/10324/65253
UL https://uvadoc.uva.es/handle/10324/65253
LA eng
NO SIAM Journal on Mathematical Analysis, Volume 41, Number 3, 2009, Pages 1025-1053
NO Producción Científica
DS UVaDOC
RD 05-jun-2024