Approximate Controllability for Nonautonomous Integrodifferential Equations with State-dependent Delay
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912144210001920 |
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| author | Diop, Mamadou Abdoul Elghandouri, Mohammed Ezzinbi, Khalil |
| author_facet | Diop, Mamadou Abdoul Elghandouri, Mohammed Ezzinbi, Khalil |
| contents | We study the existence of mild solutions and the approximate controllability for nonautonomous integrodifferential equations with state-dependent delay. We assume the approximate controllability of the linear part, and then we use resolvent operator theory to prove the approximate controllability of the nonlinear case. An example of the one-dimensional heat equation with memory is given to illustrate the basic idea our results. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_02326 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Approximate Controllability for Nonautonomous Integrodifferential Equations with State-dependent Delay Diop, Mamadou Abdoul Elghandouri, Mohammed Ezzinbi, Khalil Optimization and Control Dynamical Systems 34K30, 45K05, 47G20, 93B05, 49J20 We study the existence of mild solutions and the approximate controllability for nonautonomous integrodifferential equations with state-dependent delay. We assume the approximate controllability of the linear part, and then we use resolvent operator theory to prove the approximate controllability of the nonlinear case. An example of the one-dimensional heat equation with memory is given to illustrate the basic idea our results. |
| title | Approximate Controllability for Nonautonomous Integrodifferential Equations with State-dependent Delay |
| topic | Optimization and Control Dynamical Systems 34K30, 45K05, 47G20, 93B05, 49J20 |
| url | https://arxiv.org/abs/2403.02326 |