Quasilinearization method for an impulsive integro-differential system with delay
In this paper, we obtain solution sequences converging uniformly and quadratically to extremal solutions of an impulsive integro-differential system with delay. The main tools are the method of quasilinearization and the monotone iterative. The results obtained are more general and applicable than p...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-01-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2022027?viewType=HTML |
| _version_ | 1818333542494502912 |
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| author | Bing Hu Zhizhi Wang Minbo Xu Dingjiang Wang |
| author_facet | Bing Hu Zhizhi Wang Minbo Xu Dingjiang Wang |
| author_sort | Bing Hu |
| collection | DOAJ |
| description | In this paper, we obtain solution sequences converging uniformly and quadratically to extremal solutions of an impulsive integro-differential system with delay. The main tools are the method of quasilinearization and the monotone iterative. The results obtained are more general and applicable than previous studies, especially the quadratic convergence of the solution for a class of integro-differential equations, which have been involved little by now. |
| first_indexed | 2024-12-13T13:53:18Z |
| format | Article |
| id | doaj.art-7fce0394561048b0aa907ce8c2fcc6cb |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-12-13T13:53:18Z |
| publishDate | 2022-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-7fce0394561048b0aa907ce8c2fcc6cb2022-12-21T23:42:59ZengAIMS PressMathematical Biosciences and Engineering1551-00182022-01-0119161262310.3934/mbe.2022027Quasilinearization method for an impulsive integro-differential system with delayBing Hu0Zhizhi Wang 1Minbo Xu 2Dingjiang Wang3Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, ChinaDepartment of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, ChinaDepartment of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, ChinaDepartment of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, ChinaIn this paper, we obtain solution sequences converging uniformly and quadratically to extremal solutions of an impulsive integro-differential system with delay. The main tools are the method of quasilinearization and the monotone iterative. The results obtained are more general and applicable than previous studies, especially the quadratic convergence of the solution for a class of integro-differential equations, which have been involved little by now.https://www.aimspress.com/article/doi/10.3934/mbe.2022027?viewType=HTMLimpulsive integro-differential systemdelayquasilinearizationuniform convergencequadratic convergence |
| spellingShingle | Bing Hu Zhizhi Wang Minbo Xu Dingjiang Wang Quasilinearization method for an impulsive integro-differential system with delay Mathematical Biosciences and Engineering impulsive integro-differential system delay quasilinearization uniform convergence quadratic convergence |
| title | Quasilinearization method for an impulsive integro-differential system with delay |
| title_full | Quasilinearization method for an impulsive integro-differential system with delay |
| title_fullStr | Quasilinearization method for an impulsive integro-differential system with delay |
| title_full_unstemmed | Quasilinearization method for an impulsive integro-differential system with delay |
| title_short | Quasilinearization method for an impulsive integro-differential system with delay |
| title_sort | quasilinearization method for an impulsive integro differential system with delay |
| topic | impulsive integro-differential system delay quasilinearization uniform convergence quadratic convergence |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2022027?viewType=HTML |
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