Multiple Positive Solutions for Singular Periodic Boundary Value Problems of Impulsive Differential Equations in Banach Spaces

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

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Main Authors: Hongxia Fan, Yongxiang Li
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/493639
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spelling doaj-41e16f0b36e84fc9b4dccff565ee9de82020-11-24T23:49:24ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/493639493639Multiple Positive Solutions for Singular Periodic Boundary Value Problems of Impulsive Differential Equations in Banach SpacesHongxia Fan0Yongxiang Li1Department of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaDepartment of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaBy means of the fixed point theory of strict set contraction operators, we establish a new existence theorem on multiple positive solutions to a singular boundary value problem for second-order impulsive differential equations with periodic boundary conditions in a Banach space. Moreover, an application is given to illustrate the main result.http://dx.doi.org/10.1155/2011/493639
collection DOAJ
language English
format Article
sources DOAJ
author Hongxia Fan
Yongxiang Li
spellingShingle Hongxia Fan
Yongxiang Li
Multiple Positive Solutions for Singular Periodic Boundary Value Problems of Impulsive Differential Equations in Banach Spaces
Abstract and Applied Analysis
author_facet Hongxia Fan
Yongxiang Li
author_sort Hongxia Fan
title Multiple Positive Solutions for Singular Periodic Boundary Value Problems of Impulsive Differential Equations in Banach Spaces
title_short Multiple Positive Solutions for Singular Periodic Boundary Value Problems of Impulsive Differential Equations in Banach Spaces
title_full Multiple Positive Solutions for Singular Periodic Boundary Value Problems of Impulsive Differential Equations in Banach Spaces
title_fullStr Multiple Positive Solutions for Singular Periodic Boundary Value Problems of Impulsive Differential Equations in Banach Spaces
title_full_unstemmed Multiple Positive Solutions for Singular Periodic Boundary Value Problems of Impulsive Differential Equations in Banach Spaces
title_sort multiple positive solutions for singular periodic boundary value problems of impulsive differential equations in banach spaces
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2011-01-01
description By means of the fixed point theory of strict set contraction operators, we establish a new existence theorem on multiple positive solutions to a singular boundary value problem for second-order impulsive differential equations with periodic boundary conditions in a Banach space. Moreover, an application is given to illustrate the main result.
url http://dx.doi.org/10.1155/2011/493639
work_keys_str_mv AT hongxiafan multiplepositivesolutionsforsingularperiodicboundaryvalueproblemsofimpulsivedifferentialequationsinbanachspaces
AT yongxiangli multiplepositivesolutionsforsingularperiodicboundaryvalueproblemsofimpulsivedifferentialequationsinbanachspaces
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