Remarks on finite-approximate controllability of impulsive evolution systems via resolvent-like operator in Hilbert spaces
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912183969906688 |
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| author | Asadzade, Javad A. Mahmudov, Nazim I. |
| author_facet | Asadzade, Javad A. Mahmudov, Nazim I. |
| contents | In this manuscript, we examine impulsive evolution systems in Hilbert spaces. Using a resolvent-like operator, we first establish the finite-approximate controllability for linear systems. Subsequently, by applying the Schauder fixed-point theorem (SFPT), we prove the existence of a solution and demonstrate the finite-approximate controllability of semilinear impulsive systems in Hilbert spaces. Finally, we extend these results to a broader application, specifically to the heat equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_02995 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Remarks on finite-approximate controllability of impulsive evolution systems via resolvent-like operator in Hilbert spaces Asadzade, Javad A. Mahmudov, Nazim I. Optimization and Control In this manuscript, we examine impulsive evolution systems in Hilbert spaces. Using a resolvent-like operator, we first establish the finite-approximate controllability for linear systems. Subsequently, by applying the Schauder fixed-point theorem (SFPT), we prove the existence of a solution and demonstrate the finite-approximate controllability of semilinear impulsive systems in Hilbert spaces. Finally, we extend these results to a broader application, specifically to the heat equation. |
| title | Remarks on finite-approximate controllability of impulsive evolution systems via resolvent-like operator in Hilbert spaces |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2501.02995 |