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arXiv · 2402.00087

Exponential Ordering for Nonautonomous Neutral Functional Differential Equations

Sylvia Novo·Rafael Obaya·Víctor M. Villarragut
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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.

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Sylvia Novo, Rafael Obaya, Víctor M. Villarragut. 2024-01-31. Exponential Ordering for Nonautonomous Neutral Functional Differential Equations. https://doi.org/10.1137/080744682

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