Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral Condition

Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral Condition

This work is devoted to the study of uniqueness and existence of positive solutions for a second-order boundary value problem with integral condition. The arguments are based on Banach contraction principle, Leray Schauder nonlinear alternative, and Guo-Krasnosel’skii fixed point theorem in cone. T...

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Main Authors: Assia Guezane-Lakoud, Hamidane Nacira, Khaldi Rabah
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2012/471975
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spelling doaj-656e4805ec9a4cd99c8ce40f017405542020-11-24T23:18:43ZengHindawi LimitedInternational Journal of Differential Equations1687-96431687-96512012-01-01201210.1155/2012/471975471975Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral ConditionAssia Guezane-Lakoud0Hamidane Nacira1Khaldi Rabah2Laboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, AlgeriaLaboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, AlgeriaLaboratory LASEA, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, AlgeriaThis work is devoted to the study of uniqueness and existence of positive solutions for a second-order boundary value problem with integral condition. The arguments are based on Banach contraction principle, Leray Schauder nonlinear alternative, and Guo-Krasnosel’skii fixed point theorem in cone. Two examples are also given to illustrate the main results.http://dx.doi.org/10.1155/2012/471975
collection DOAJ
language English
format Article
sources DOAJ
author Assia Guezane-Lakoud
Hamidane Nacira
Khaldi Rabah
spellingShingle Assia Guezane-Lakoud
Hamidane Nacira
Khaldi Rabah
Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral Condition
International Journal of Differential Equations
author_facet Assia Guezane-Lakoud
Hamidane Nacira
Khaldi Rabah
author_sort Assia Guezane-Lakoud
title Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral Condition
title_short Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral Condition
title_full Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral Condition
title_fullStr Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral Condition
title_full_unstemmed Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral Condition
title_sort existence and positivity of solutions for a second-order boundary value problem with integral condition
publisher Hindawi Limited
series International Journal of Differential Equations
issn 1687-9643
1687-9651
publishDate 2012-01-01
description This work is devoted to the study of uniqueness and existence of positive solutions for a second-order boundary value problem with integral condition. The arguments are based on Banach contraction principle, Leray Schauder nonlinear alternative, and Guo-Krasnosel’skii fixed point theorem in cone. Two examples are also given to illustrate the main results.
url http://dx.doi.org/10.1155/2012/471975
work_keys_str_mv AT assiaguezanelakoud existenceandpositivityofsolutionsforasecondorderboundaryvalueproblemwithintegralcondition
AT hamidanenacira existenceandpositivityofsolutionsforasecondorderboundaryvalueproblemwithintegralcondition
AT khaldirabah existenceandpositivityofsolutionsforasecondorderboundaryvalueproblemwithintegralcondition
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