Multiple positive solutions for second order impulsive boundary value problems in Banach spaces

By means of the fixed point index theory of strict set contraction operators, we establish new existence theorems on multiple positive solutions to a boundary value problem for second-order impulsive integro-differential equations with integral boundary conditions in a Banach space. Moreover, an app...

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Main Authors: Zhi-Wei Lv, Jin Liang, Ti-Jun Xiao
Format: Article
Language:English
Published: University of Szeged 2010-06-01
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=498
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spelling doaj-188c1c0e35c845dd94d30af33f9af7df2021-07-14T07:21:22ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752010-06-0120103811510.14232/ejqtde.2010.1.38498Multiple positive solutions for second order impulsive boundary value problems in Banach spacesZhi-Wei Lv0Jin Liang1Ti-Jun Xiao2University of Science and Technology of China, Hefei, Anhui, P. R. ChinaShanghai Jiao Tong University, Shanghai, P. R. ChinaFudan University, Shanghai, P. R. ChinaBy means of the fixed point index theory of strict set contraction operators, we establish new existence theorems on multiple positive solutions to a boundary value problem for second-order impulsive integro-differential equations with integral boundary conditions in a Banach space. Moreover, an application is given to illustrate the main result.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=498
collection DOAJ
language English
format Article
sources DOAJ
author Zhi-Wei Lv
Jin Liang
Ti-Jun Xiao
spellingShingle Zhi-Wei Lv
Jin Liang
Ti-Jun Xiao
Multiple positive solutions for second order impulsive boundary value problems in Banach spaces
Electronic Journal of Qualitative Theory of Differential Equations
author_facet Zhi-Wei Lv
Jin Liang
Ti-Jun Xiao
author_sort Zhi-Wei Lv
title Multiple positive solutions for second order impulsive boundary value problems in Banach spaces
title_short Multiple positive solutions for second order impulsive boundary value problems in Banach spaces
title_full Multiple positive solutions for second order impulsive boundary value problems in Banach spaces
title_fullStr Multiple positive solutions for second order impulsive boundary value problems in Banach spaces
title_full_unstemmed Multiple positive solutions for second order impulsive boundary value problems in Banach spaces
title_sort multiple positive solutions for second order impulsive boundary value problems in banach spaces
publisher University of Szeged
series Electronic Journal of Qualitative Theory of Differential Equations
issn 1417-3875
1417-3875
publishDate 2010-06-01
description By means of the fixed point index theory of strict set contraction operators, we establish new existence theorems on multiple positive solutions to a boundary value problem for second-order impulsive integro-differential equations with integral boundary conditions in a Banach space. Moreover, an application is given to illustrate the main result.
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=498
work_keys_str_mv AT zhiweilv multiplepositivesolutionsforsecondorderimpulsiveboundaryvalueproblemsinbanachspaces
AT jinliang multiplepositivesolutionsforsecondorderimpulsiveboundaryvalueproblemsinbanachspaces
AT tijunxiao multiplepositivesolutionsforsecondorderimpulsiveboundaryvalueproblemsinbanachspaces
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