Initial value problems for first order impulsive integro-differential equations of Volterra type in Banach spaces

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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Main Authors: Jiang Zhu, Yajuan Yu, Vasile Postolica
Format: Article
Language:English
Published: Hindawi Limited 2007-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2007/968435
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spelling doaj-bdadbaa90bd64aabbd2d67f4a4663a2b2020-11-24T23:03:49ZengHindawi LimitedJournal 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
collection DOAJ
language English
format Article
sources DOAJ
author Jiang Zhu
Yajuan Yu
Vasile Postolica
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
author_facet Jiang Zhu
Yajuan Yu
Vasile Postolica
author_sort Jiang Zhu
title 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_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_sort initial value problems for first order impulsive integro-differential equations of volterra type in banach spaces
publisher Hindawi Limited
series Journal of Function Spaces and Applications
issn 0972-6802
publishDate 2007-01-01
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.
url http://dx.doi.org/10.1155/2007/968435
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AT yajuanyu initialvalueproblemsforfirstorderimpulsiveintegrodifferentialequationsofvolterratypeinbanachspaces
AT vasilepostolica initialvalueproblemsforfirstorderimpulsiveintegrodifferentialequationsofvolterratypeinbanachspaces
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