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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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2011/493639 |
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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 |
_version_ |
1725482428985769984 |