Neutral Functional Differential Equations with Applications to Compartmental Systems
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913216802586624 |
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| author | Muñoz-Villarragut, Víctor Novo, Sylvia Obaya, Rafael |
| author_facet | Muñoz-Villarragut, Víctor Novo, Sylvia Obaya, Rafael |
| contents | We study the monotone skew-product semiflow generated by a family of neutral functional differential equations with infinite delay and stable D-operator. The stability properties of D allow us to introduce a new order and to take the neutral family to a family of functional differential equations with infinite delay. Next, we establish the 1-covering property of omega-limit sets under the componentwise separating property and uniform stability. Finally, the obtained results are applied to the study of the long-term behavior of the amount of material within the compartments of a neutral compartmental system with infinite delay. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_17708 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Neutral Functional Differential Equations with Applications to Compartmental Systems Muñoz-Villarragut, Víctor Novo, Sylvia Obaya, Rafael Dynamical Systems 37B55, 34K40, 34K14 We study the monotone skew-product semiflow generated by a family of neutral functional differential equations with infinite delay and stable D-operator. The stability properties of D allow us to introduce a new order and to take the neutral family to a family of functional differential equations with infinite delay. Next, we establish the 1-covering property of omega-limit sets under the componentwise separating property and uniform stability. Finally, the obtained results are applied to the study of the long-term behavior of the amount of material within the compartments of a neutral compartmental system with infinite delay. |
| title | Neutral Functional Differential Equations with Applications to Compartmental Systems |
| topic | Dynamical Systems 37B55, 34K40, 34K14 |
| url | https://arxiv.org/abs/2401.17708 |