Existence, Uniqueness and Qualitative Properties of Global Solutions of Abstract Differential Equations with State-Dependent Delay
We study the existence, uniqueness and qualitative properties of global solutions of abstract differential equations with state-dependent delay. Results on the existence of almost periodic-type solutions (including, periodic, almost periodic, asymptotically almost periodic and almost automorphic sol...
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| Veröffentlicht in: | Proceedings of the Edinburgh Mathematical Society 2019-08, Vol.62 (3), p.771-788 |
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| container_title | Proceedings of the Edinburgh Mathematical Society |
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| creator | Hernández, Eduardo Wu, Jianhong |
| description | We study the existence, uniqueness and qualitative properties of global solutions of abstract differential equations with state-dependent delay. Results on the existence of almost periodic-type solutions (including, periodic, almost periodic, asymptotically almost periodic and almost automorphic solutions) are proved. Some examples of partial differential equations with state-dependent delay arising in population dynamics are presented. |
| doi_str_mv | 10.1017/S001309151800069X |
| format | Article |
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| ispartof | Proceedings of the Edinburgh Mathematical Society, 2019-08, Vol.62 (3), p.771-788 |
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| language | eng |
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| source | Cambridge University Press Journals Complete |
| subjects | Delay Mathematical analysis Partial differential equations Uniqueness |
| title | Existence, Uniqueness and Qualitative Properties of Global Solutions of Abstract Differential Equations with State-Dependent Delay |
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