Impulsive delay differential inclusions applied to optimization problems
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914219051450368 |
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| author | Benedetti, Irene Rubbioni, Paola |
| author_facet | Benedetti, Irene Rubbioni, Paola |
| contents | We study a class of semilinear impulsive differential inclusions with infinite delay in Banach spaces. The model incorporates multivalued nonlinearities, impulsive effects, and infinite memory, allowing for the description of systems influenced by long-lasting past states and sudden changes. We prove the existence of mild solutions and the compactness of the solution set using fixed point methods and measures of noncompactness. The theoretical results are applied to an abstract optimization problem and to a population dynamics model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_21275 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Impulsive delay differential inclusions applied to optimization problems Benedetti, Irene Rubbioni, Paola Optimization and Control 34G25, 34K09, 34K30, 34K35, 34K45 We study a class of semilinear impulsive differential inclusions with infinite delay in Banach spaces. The model incorporates multivalued nonlinearities, impulsive effects, and infinite memory, allowing for the description of systems influenced by long-lasting past states and sudden changes. We prove the existence of mild solutions and the compactness of the solution set using fixed point methods and measures of noncompactness. The theoretical results are applied to an abstract optimization problem and to a population dynamics model. |
| title | Impulsive delay differential inclusions applied to optimization problems |
| topic | Optimization and Control 34G25, 34K09, 34K30, 34K35, 34K45 |
| url | https://arxiv.org/abs/2512.21275 |