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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.25452 |
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| _version_ | 1866914481592860672 |
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| author | Konan, Roméo Kouassi Aman, Auguste |
| author_facet | Konan, Roméo Kouassi Aman, Auguste |
| contents | We address the optimal control of stochastic Volterra integral equations with delay through the lens of Hida-Malliavin calculus. We show that the corresponding adjoint processes satisfy an anticipated backward stochastic Volterra integral equation (ABSVIE), and, exploiting this structure, we establish both necessary and sufficient stochastic maximum principles. Our results provide a comprehensive and rigorous framework for characterizing optimal controls in delayed stochastic systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_25452 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | New approach to optimal control of delayed stochastic Volterra integral equations Konan, Roméo Kouassi Aman, Auguste Probability 60F05, 60H15, We address the optimal control of stochastic Volterra integral equations with delay through the lens of Hida-Malliavin calculus. We show that the corresponding adjoint processes satisfy an anticipated backward stochastic Volterra integral equation (ABSVIE), and, exploiting this structure, we establish both necessary and sufficient stochastic maximum principles. Our results provide a comprehensive and rigorous framework for characterizing optimal controls in delayed stochastic systems. |
| title | New approach to optimal control of delayed stochastic Volterra integral equations |
| topic | Probability 60F05, 60H15, |
| url | https://arxiv.org/abs/2603.25452 |