Initial value problems for first order impulsive integro-differential equations of Volterra type in Banach spaces
In this paper, we use a new method and combining the partial ordering method to study the existence of the solutions for the first order nonlinear impulsive integro-differential equations of Volterra type on finite interval in Banach spaces and for the first order nonlinear impulsive integro-differe...
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| Format: | Article |
| Language: | English |
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Wiley
2007-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2007/968435 |
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| _version_ | 1849684083657932800 |
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| author | Jiang Zhu Yajuan Yu Vasile Postolica |
| author_facet | Jiang Zhu Yajuan Yu Vasile Postolica |
| author_sort | Jiang Zhu |
| collection | DOAJ |
| description | In this paper, we use a new method and combining the partial ordering method to study the existence of the solutions for the first order nonlinear impulsive integro-differential equations of Volterra type on finite interval in Banach spaces and for the first order nonlinear impulsive integro-differential equations of Volterra type on infinite interval with infinite number impulsive times in Banach spaces. By introducing an interim space and using progressive estimation method, some restrictive conditions on impulsive terms, used before, such as, prior estimation, noncompactness measure estimations are deleted. |
| format | Article |
| id | doaj-art-bdadbaa90bd64aabbd2d67f4a4663a2b |
| institution | DOAJ |
| issn | 0972-6802 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-bdadbaa90bd64aabbd2d67f4a4663a2b2025-08-20T03:23:34ZengWileyJournal of Function Spaces and Applications0972-68022007-01-015192610.1155/2007/968435Initial value problems for first order impulsive integro-differential equations of Volterra type in Banach spacesJiang Zhu0Yajuan Yu1Vasile Postolica2Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, ChinaDepartment of Information and Science, JiangSu Polytechnic, University Changzhou 213016, ChinaDepartment of Mathematics, Faculty of Sciences, Romanian Academy of Scientists, Bacău State University, RomaniaIn this paper, we use a new method and combining the partial ordering method to study the existence of the solutions for the first order nonlinear impulsive integro-differential equations of Volterra type on finite interval in Banach spaces and for the first order nonlinear impulsive integro-differential equations of Volterra type on infinite interval with infinite number impulsive times in Banach spaces. By introducing an interim space and using progressive estimation method, some restrictive conditions on impulsive terms, used before, such as, prior estimation, noncompactness measure estimations are deleted.http://dx.doi.org/10.1155/2007/968435 |
| spellingShingle | Jiang Zhu Yajuan Yu Vasile Postolica Initial value problems for first order impulsive integro-differential equations of Volterra type in Banach spaces Journal of Function Spaces and Applications |
| title | Initial value problems for first order impulsive integro-differential equations of Volterra type in Banach spaces |
| title_full | Initial value problems for first order impulsive integro-differential equations of Volterra type in Banach spaces |
| title_fullStr | Initial value problems for first order impulsive integro-differential equations of Volterra type in Banach spaces |
| title_full_unstemmed | Initial value problems for first order impulsive integro-differential equations of Volterra type in Banach spaces |
| title_short | Initial value problems for first order impulsive integro-differential equations of Volterra type in Banach spaces |
| title_sort | initial value problems for first order impulsive integro differential equations of volterra type in banach spaces |
| url | http://dx.doi.org/10.1155/2007/968435 |
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