Total controllability of non-autonomous second-order measure evolution systems with state-dependent delay and non-instantaneous impulses
This paper investigates a new class of non-autonomous second-order measure evolution systems involving state-dependent delay and non-instantaneous impulses. We introduce a stronger concept of exact controllability called total controllability. The existence of mild solutions and controllability for...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2023095?viewType=HTML |
| _version_ | 1811216309433663488 |
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| author | Yang Wang Yongyang Liu Yansheng Liu |
| author_facet | Yang Wang Yongyang Liu Yansheng Liu |
| author_sort | Yang Wang |
| collection | DOAJ |
| description | This paper investigates a new class of non-autonomous second-order measure evolution systems involving state-dependent delay and non-instantaneous impulses. We introduce a stronger concept of exact controllability called total controllability. The existence of mild solutions and controllability for the considered system are obtained by applying strongly continuous cosine family and the Mönch fixed point theorem. Finally, an example is used to verify the practical application of the conclusion. |
| first_indexed | 2024-04-12T06:37:00Z |
| format | Article |
| id | doaj.art-800dc2dceeae45cdbb49cf22e0f4ce65 |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-04-12T06:37:00Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-800dc2dceeae45cdbb49cf22e0f4ce652022-12-22T03:43:51ZengAIMS PressMathematical Biosciences and Engineering1551-00182023-01-012022061208010.3934/mbe.2023095Total controllability of non-autonomous second-order measure evolution systems with state-dependent delay and non-instantaneous impulsesYang Wang0Yongyang Liu1Yansheng Liu21. School of Information Engineering, Shandong Management University, Jinan 250357, China2. School of Mathematics and Statistics, Shandong Normal University, Jinan 250358, China2. School of Mathematics and Statistics, Shandong Normal University, Jinan 250358, ChinaThis paper investigates a new class of non-autonomous second-order measure evolution systems involving state-dependent delay and non-instantaneous impulses. We introduce a stronger concept of exact controllability called total controllability. The existence of mild solutions and controllability for the considered system are obtained by applying strongly continuous cosine family and the Mönch fixed point theorem. Finally, an example is used to verify the practical application of the conclusion.https://www.aimspress.com/article/doi/10.3934/mbe.2023095?viewType=HTMLmönch fixed point theoremsecond-order evolution systemsstate-dependent delaynon-instantaneous impulsestotal controllability |
| spellingShingle | Yang Wang Yongyang Liu Yansheng Liu Total controllability of non-autonomous second-order measure evolution systems with state-dependent delay and non-instantaneous impulses Mathematical Biosciences and Engineering mönch fixed point theorem second-order evolution systems state-dependent delay non-instantaneous impulses total controllability |
| title | Total controllability of non-autonomous second-order measure evolution systems with state-dependent delay and non-instantaneous impulses |
| title_full | Total controllability of non-autonomous second-order measure evolution systems with state-dependent delay and non-instantaneous impulses |
| title_fullStr | Total controllability of non-autonomous second-order measure evolution systems with state-dependent delay and non-instantaneous impulses |
| title_full_unstemmed | Total controllability of non-autonomous second-order measure evolution systems with state-dependent delay and non-instantaneous impulses |
| title_short | Total controllability of non-autonomous second-order measure evolution systems with state-dependent delay and non-instantaneous impulses |
| title_sort | total controllability of non autonomous second order measure evolution systems with state dependent delay and non instantaneous impulses |
| topic | mönch fixed point theorem second-order evolution systems state-dependent delay non-instantaneous impulses total controllability |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2023095?viewType=HTML |
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