Controllability of Impulsive Neutral Functional Differential Inclusions in Banach Spaces
We investigate the controllability of impulsive neutral functional differential inclusions in Banach spaces. Our main aim is to find an effective method to solve the controllability problem of impulsive neutral functional differential inclusions with multivalued jump sizes in Banach spaces. Based on...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/861568 |
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| author | X. J. Wan Y. P. Zhang J. T. Sun |
| author_facet | X. J. Wan Y. P. Zhang J. T. Sun |
| author_sort | X. J. Wan |
| collection | DOAJ |
| description | We investigate the controllability of impulsive neutral functional differential inclusions in Banach spaces. Our main aim is to find an effective method to solve the controllability problem of impulsive neutral functional differential inclusions with multivalued jump sizes in Banach spaces. Based on a fixed point theorem with regard to condensing map, sufficient conditions for the controllability of the impulsive neutral functional differential inclusions in Banach spaces are derived. Moreover, a remark is given to explain less conservative criteria for special cases, and work is improved in the previous literature. |
| format | Article |
| id | doaj-art-102c9e22d7bc43a5a2858100e77e48d4 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-102c9e22d7bc43a5a2858100e77e48d42025-02-03T06:05:04ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/861568861568Controllability of Impulsive Neutral Functional Differential Inclusions in Banach SpacesX. J. Wan0Y. P. Zhang1J. T. Sun2Department of Mathematics, Tongji University, Shanghai 200092, ChinaDepartment of Mathematics, Tongji University, Shanghai 200092, ChinaDepartment of Mathematics, Tongji University, Shanghai 200092, ChinaWe investigate the controllability of impulsive neutral functional differential inclusions in Banach spaces. Our main aim is to find an effective method to solve the controllability problem of impulsive neutral functional differential inclusions with multivalued jump sizes in Banach spaces. Based on a fixed point theorem with regard to condensing map, sufficient conditions for the controllability of the impulsive neutral functional differential inclusions in Banach spaces are derived. Moreover, a remark is given to explain less conservative criteria for special cases, and work is improved in the previous literature.http://dx.doi.org/10.1155/2013/861568 |
| spellingShingle | X. J. Wan Y. P. Zhang J. T. Sun Controllability of Impulsive Neutral Functional Differential Inclusions in Banach Spaces Abstract and Applied Analysis |
| title | Controllability of Impulsive Neutral Functional Differential Inclusions in Banach Spaces |
| title_full | Controllability of Impulsive Neutral Functional Differential Inclusions in Banach Spaces |
| title_fullStr | Controllability of Impulsive Neutral Functional Differential Inclusions in Banach Spaces |
| title_full_unstemmed | Controllability of Impulsive Neutral Functional Differential Inclusions in Banach Spaces |
| title_short | Controllability of Impulsive Neutral Functional Differential Inclusions in Banach Spaces |
| title_sort | controllability of impulsive neutral functional differential inclusions in banach spaces |
| url | http://dx.doi.org/10.1155/2013/861568 |
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