Exponential Ordering for Nonautonomous Neutral Functional Differential Equations
Dynamical Systems
2024-02-02 v1
Abstract
We study monotone skew-product semiflows generated by families of nonautonomous neutral functional differential equations with infinite delay and stable D-operator, when the exponential 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.
Cite
@article{arxiv.2402.00087,
title = {Exponential Ordering for Nonautonomous Neutral Functional Differential Equations},
author = {Sylvia Novo and Rafael Obaya and Víctor M. Villarragut},
journal= {arXiv preprint arXiv:2402.00087},
year = {2024}
}
Comments
29 pages. arXiv admin note: text overlap with arXiv:2401.17708