Existence of solutions of nth order impulsive integro-differential equations in Banach spaces

Existence of solutions of nth order impulsive integro-differential equations in Banach spaces

In this paper, we prove the existence of solutions of initial value problems for nth order nonlinear impulsive integro-differential equations of mixed type on an infinite interval with an infinite number of impulsive times in Banach spaces. Our results are obtained by introducing a suitable measure...

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Main Authors: Shihuang Hong, Zeyong Qiu
Format: Article
Language:English
Published: University of Szeged 2008-05-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=314
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spelling doaj-58d8a4a9432644cf9315b155a0441c932021-07-14T07:21:20ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752008-05-0120082211110.14232/ejqtde.2008.1.22314Existence of solutions of nth order impulsive integro-differential equations in Banach spacesShihuang Hong0Zeyong Qiu1Hangzhou Dianzi University, Hangzhou, P. R. ChinaHangzhou Dianzi University, Hangzhou, P. R. ChinaIn this paper, we prove the existence of solutions of initial value problems for nth order nonlinear impulsive integro-differential equations of mixed type on an infinite interval with an infinite number of impulsive times in Banach spaces. Our results are obtained by introducing a suitable measure of noncompactness.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=314
collection DOAJ
language English
format Article
sources DOAJ
author Shihuang Hong
Zeyong Qiu
spellingShingle Shihuang Hong
Zeyong Qiu
Existence of solutions of nth order impulsive integro-differential equations in Banach spaces
Electronic Journal of Qualitative Theory of Differential Equations
author_facet Shihuang Hong
Zeyong Qiu
author_sort Shihuang Hong
title Existence of solutions of nth order impulsive integro-differential equations in Banach spaces
title_short Existence of solutions of nth order impulsive integro-differential equations in Banach spaces
title_full Existence of solutions of nth order impulsive integro-differential equations in Banach spaces
title_fullStr Existence of solutions of nth order impulsive integro-differential equations in Banach spaces
title_full_unstemmed Existence of solutions of nth order impulsive integro-differential equations in Banach spaces
title_sort existence of solutions of nth order impulsive integro-differential equations in banach spaces
publisher University of Szeged
series Electronic Journal of Qualitative Theory of Differential Equations
issn 1417-3875
1417-3875
publishDate 2008-05-01
description In this paper, we prove the existence of solutions of initial value problems for nth order nonlinear impulsive integro-differential equations of mixed type on an infinite interval with an infinite number of impulsive times in Banach spaces. Our results are obtained by introducing a suitable measure of noncompactness.
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=314
work_keys_str_mv AT shihuanghong existenceofsolutionsofnthorderimpulsiveintegrodifferentialequationsinbanachspaces
AT zeyongqiu existenceofsolutionsofnthorderimpulsiveintegrodifferentialequationsinbanachspaces
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