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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2507.16560 |
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| _version_ | 1866913953207025664 |
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| author | Gupta, Garima Dabas, Jaydev |
| author_facet | Gupta, Garima Dabas, Jaydev |
| contents | This article addresses control problems for semilinear impulsive neutral integro-differential equations with memory in a Banach space. It investigates the approximate controllability of linear and semilinear systems and proves the establishment of mild solutions in the semilinear setting. The approach involves constructing a resolvent family for the corresponding integro-differential equation of linear type without memory. The results for the linear system are established first, then extended to the semilinear scenario, followed by a detailed example to illustrate the theoretical findings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_16560 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Study on Control Problem of a Impulsive Neutral Integro-Differential Equations with Fading Memory Gupta, Garima Dabas, Jaydev Optimization and Control Dynamical Systems This article addresses control problems for semilinear impulsive neutral integro-differential equations with memory in a Banach space. It investigates the approximate controllability of linear and semilinear systems and proves the establishment of mild solutions in the semilinear setting. The approach involves constructing a resolvent family for the corresponding integro-differential equation of linear type without memory. The results for the linear system are established first, then extended to the semilinear scenario, followed by a detailed example to illustrate the theoretical findings. |
| title | Study on Control Problem of a Impulsive Neutral Integro-Differential Equations with Fading Memory |
| topic | Optimization and Control Dynamical Systems |
| url | https://arxiv.org/abs/2507.16560 |