August 2012, 2012:86,
Open Access
This content is freely available online to anyone, anywhere at any time.
Date:
06 Aug 2012
Positive solutions of SturmLiouville boundary value problems for singular nonlinear secondorder impulsive integrodifferential equation in Banach spaces
 Yan Sun
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Abstract
In this work, we investigate the existence of positive solutions of SturmLiouville boundary value problems for singular nonlinear secondorder impulsive integro differential equation in a real Banach space. Some new existence results of positive solutions are established by applying fixedpoint index theory together with comparison theorem. Some discussions and an example are given to demonstrate the applications of our main results.
MSC: 34B15, 34B25, 45J05.
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 Title
 Positive solutions of SturmLiouville boundary value problems for singular nonlinear secondorder impulsive integrodifferential equation in Banach spaces
 Open Access
 Available under Open Access This content is freely available online to anyone, anywhere at any time.
 Journal

Boundary Value Problems
2012:86
 Online Date
 August 2012
 DOI
 10.1186/16872770201286
 Online ISSN
 16872770
 Publisher
 Springer International Publishing AG
 Additional Links
 Topics
 Keywords

 measure of noncomparison
 positive solution
 boundary value problem
 impulsive integrodifferential equation
 Authors

 Yan Sun ^{(1)} ^{(2)}
 Author Affiliations

 1. School of Mathematical Sciences, Fudan University, Shanghai, 200433, P.R. China
 2. Department of Mathematics, Shanghai Normal University, Shanghai, 200234, P.R. China