On existence and continuation of mild solutions of functional-differential equations of neutral type in Banach spaces
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866916605668098048 |
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| author | Perehuda, Oleh Stanzhytskiy, Andriy Martynyuk, Olha |
| author_facet | Perehuda, Oleh Stanzhytskiy, Andriy Martynyuk, Olha |
| contents | The aim of this work is to investigate the conditions for the existence and continuation of a mild solution to the initial value problem of functional-differential equations of neutral type in Banach spaces to the boundary of the domain. Based on the Schauder fixed point theorem, the existence and continuation to the boundary of the domain are proved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_05636 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On existence and continuation of mild solutions of functional-differential equations of neutral type in Banach spaces Perehuda, Oleh Stanzhytskiy, Andriy Martynyuk, Olha Analysis of PDEs The aim of this work is to investigate the conditions for the existence and continuation of a mild solution to the initial value problem of functional-differential equations of neutral type in Banach spaces to the boundary of the domain. Based on the Schauder fixed point theorem, the existence and continuation to the boundary of the domain are proved. |
| title | On existence and continuation of mild solutions of functional-differential equations of neutral type in Banach spaces |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2502.05636 |