Exponential Ordering for Nonautonomous Neutral Functional Differential Equations
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866917580225118208 |
|---|---|
| author | Novo, Sylvia Obaya, Rafael Villarragut, Víctor M. |
| author_facet | Novo, Sylvia Obaya, Rafael Villarragut, Víctor M. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_00087 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exponential Ordering for Nonautonomous Neutral Functional Differential Equations Novo, Sylvia Obaya, Rafael Villarragut, Víctor M. Dynamical Systems 37B55, 34K40, 34K14 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. |
| title | Exponential Ordering for Nonautonomous Neutral Functional Differential Equations |
| topic | Dynamical Systems 37B55, 34K40, 34K14 |
| url | https://arxiv.org/abs/2402.00087 |