Mild solution of semilinear impulsive integro-differential evolution equation in Banach spaces
Copyright © 2017 John Wiley & Sons, Ltd. Through solving the problem step by step and by applying the method of a C 0 semigroup of operators combined with the Banach contraction theorem, we investigate the existence and uniqueness of a mild solution of semilinear impulsive integro-differentia...
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| Format: | Journal Article |
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John Wiley & Sons Ltd.
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/62986 |
| _version_ | 1848760963130458112 |
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| author | Hao, X. Liu, Lishan |
| author_facet | Hao, X. Liu, Lishan |
| author_sort | Hao, X. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | Copyright © 2017 John Wiley & Sons, Ltd. Through solving the problem step by step and by applying the method of a C 0 semigroup of operators combined with the Banach contraction theorem, we investigate the existence and uniqueness of a mild solution of semilinear impulsive integro-differential evolution equation in Banach spaces. In addition, an explicit iterative approximation sequence of the mild solution is derived. The assumed conditions in the present theorems are weaker and more general, and the results obtained are the generalizations and improvements of some known results. Examples are also given to illustrate our main results. Copyright © 2017 John Wiley & Sons, Ltd. |
| first_indexed | 2025-11-14T10:24:07Z |
| format | Journal Article |
| id | curtin-20.500.11937-62986 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:24:07Z |
| publishDate | 2017 |
| publisher | John Wiley & Sons Ltd. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-629862018-02-06T06:23:51Z Mild solution of semilinear impulsive integro-differential evolution equation in Banach spaces Hao, X. Liu, Lishan Copyright © 2017 John Wiley & Sons, Ltd. Through solving the problem step by step and by applying the method of a C 0 semigroup of operators combined with the Banach contraction theorem, we investigate the existence and uniqueness of a mild solution of semilinear impulsive integro-differential evolution equation in Banach spaces. In addition, an explicit iterative approximation sequence of the mild solution is derived. The assumed conditions in the present theorems are weaker and more general, and the results obtained are the generalizations and improvements of some known results. Examples are also given to illustrate our main results. Copyright © 2017 John Wiley & Sons, Ltd. 2017 Journal Article http://hdl.handle.net/20.500.11937/62986 10.1002/mma.4350 John Wiley & Sons Ltd. restricted |
| spellingShingle | Hao, X. Liu, Lishan Mild solution of semilinear impulsive integro-differential evolution equation in Banach spaces |
| title | Mild solution of semilinear impulsive integro-differential evolution equation in Banach spaces |
| title_full | Mild solution of semilinear impulsive integro-differential evolution equation in Banach spaces |
| title_fullStr | Mild solution of semilinear impulsive integro-differential evolution equation in Banach spaces |
| title_full_unstemmed | Mild solution of semilinear impulsive integro-differential evolution equation in Banach spaces |
| title_short | Mild solution of semilinear impulsive integro-differential evolution equation in Banach spaces |
| title_sort | mild solution of semilinear impulsive integro-differential evolution equation in banach spaces |
| url | http://hdl.handle.net/20.500.11937/62986 |