Multiple Positive Solutions for Singular Semipositone Periodic Boundary Value Problems with Derivative Dependence

Multiple Positive Solutions for Singular Semipositone Periodic Boundary Value Problems with Derivative Dependence

By constructing a special cone in C1[0,2π] and the fixed point theorem, this paper investigates second-order singular semipositone periodic boundary value problems with dependence on the first-order derivative and obtains the existence of multiple positive solutions. Further, an example is given to...

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Main Author: Huiqin Lu
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/295209
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spelling doaj-ffd0daf7f1f84f5d801978b11f2d51d62020-11-24T23:15:00ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/295209295209Multiple Positive Solutions for Singular Semipositone Periodic Boundary Value Problems with Derivative DependenceHuiqin Lu0School of Mathematical Sciences, Shandong Normal University, Shandong, Jinan 250014, ChinaBy constructing a special cone in C1[0,2π] and the fixed point theorem, this paper investigates second-order singular semipositone periodic boundary value problems with dependence on the first-order derivative and obtains the existence of multiple positive solutions. Further, an example is given to demonstrate the applications of our main results.http://dx.doi.org/10.1155/2012/295209
collection DOAJ
language English
format Article
sources DOAJ
author Huiqin Lu
spellingShingle Huiqin Lu
Multiple Positive Solutions for Singular Semipositone Periodic Boundary Value Problems with Derivative Dependence
Journal of Applied Mathematics
author_facet Huiqin Lu
author_sort Huiqin Lu
title Multiple Positive Solutions for Singular Semipositone Periodic Boundary Value Problems with Derivative Dependence
title_short Multiple Positive Solutions for Singular Semipositone Periodic Boundary Value Problems with Derivative Dependence
title_full Multiple Positive Solutions for Singular Semipositone Periodic Boundary Value Problems with Derivative Dependence
title_fullStr Multiple Positive Solutions for Singular Semipositone Periodic Boundary Value Problems with Derivative Dependence
title_full_unstemmed Multiple Positive Solutions for Singular Semipositone Periodic Boundary Value Problems with Derivative Dependence
title_sort multiple positive solutions for singular semipositone periodic boundary value problems with derivative dependence
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2012-01-01
description By constructing a special cone in C1[0,2π] and the fixed point theorem, this paper investigates second-order singular semipositone periodic boundary value problems with dependence on the first-order derivative and obtains the existence of multiple positive solutions. Further, an example is given to demonstrate the applications of our main results.
url http://dx.doi.org/10.1155/2012/295209
work_keys_str_mv AT huiqinlu multiplepositivesolutionsforsingularsemipositoneperiodicboundaryvalueproblemswithderivativedependence
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