Well-posedness for integro-differential sweeping processes of Volterra type
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910405952012288 |
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| author | Vilches, Emilio |
| author_facet | Vilches, Emilio |
| contents | In this paper, we study the well-posedness of integro-differential sweeping processes of Volterra type. Using new enhanced versions of Gronwall's inequality, a reparametrization technique, and a fixed point argument for history-dependent operators, we obtain the existence of solutions and provide a fully continuous dependence result for the integro-differential sweeping process. The paper ends with an application to projected dynamical systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07279 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Well-posedness for integro-differential sweeping processes of Volterra type Vilches, Emilio Optimization and Control In this paper, we study the well-posedness of integro-differential sweeping processes of Volterra type. Using new enhanced versions of Gronwall's inequality, a reparametrization technique, and a fixed point argument for history-dependent operators, we obtain the existence of solutions and provide a fully continuous dependence result for the integro-differential sweeping process. The paper ends with an application to projected dynamical systems. |
| title | Well-posedness for integro-differential sweeping processes of Volterra type |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2404.07279 |