RT info:eu-repo/semantics/article
T1 Exponential Ordering for Neutral Functional Differential Equations With Non-Autonomous Linear D-Operator
A1 Obaya, Rafael
A1 Villarragut, Víctor M.
K1 Matemática aplicada
K1 Non-autonomous dynamical systems
K1 Monotone skew-product semiflows
K1 Neutral functional differential equations
K1 Infinite delay
K1 Compartmental systems
K1 1202.08 Ecuaciones Funcionales
AB We study neutral functional differential equations with stable linear non-autonomous D-operator. The operator of convolution D* transforms BU into BU. We show that, if D is stable, then D* is invertible and, besides, D* and its inverse are uniformly continuous for the compact-open topology on bounded sets. We introduce a new transformed exponential order and, under convenient assumptions, we deduce the 1-covering property of minimal sets. These conclusions are applied to describe the amount of material in a class of compartmental systems extensively studied in the literature.
PB Springer
SN 1040-7294
YR 2011
FD 2011
LK https://uvadoc.uva.es/handle/10324/65336
UL https://uvadoc.uva.es/handle/10324/65336
LA spa
NO Journal of Dynamics and Differential Equations Volume 23, Issue 3, 2011, Pages 695-725
NO Producción Científica
DS UVaDOC
RD 07-ago-2024