The Existence and Multiplicity of Positive Solutions for Second-Order Periodic Boundary Value Problem

The existence and multiplicity of positive solutions are established for second-order periodic boundary value problem. Our results are based on the theory of a fixed point index for A-proper semilinear operators defined on cones due to Cremins. Our approach is different in essence from other papers...

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Main Authors: Feng Wang, Fang Zhang, Fuli Wang
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2012/725646
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author Feng Wang
Fang Zhang
Fuli Wang
author_facet Feng Wang
Fang Zhang
Fuli Wang
author_sort Feng Wang
collection DOAJ
description The existence and multiplicity of positive solutions are established for second-order periodic boundary value problem. Our results are based on the theory of a fixed point index for A-proper semilinear operators defined on cones due to Cremins. Our approach is different in essence from other papers and the main results of this paper are also new.
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institution Kabale University
issn 0972-6802
1758-4965
language English
publishDate 2012-01-01
publisher Wiley
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series Journal of Function Spaces and Applications
spelling doaj-art-48293e9ac8144183af3debb236227a1c2025-02-03T01:00:54ZengWileyJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/725646725646The Existence and Multiplicity of Positive Solutions for Second-Order Periodic Boundary Value ProblemFeng Wang0Fang Zhang1Fuli Wang2School of Mathematics and Physics, Changzhou University, Changzhou, Jiangsu 213164, ChinaSchool of Mathematics and Physics, Changzhou University, Changzhou, Jiangsu 213164, ChinaSchool of Mathematics and Physics, Changzhou University, Changzhou, Jiangsu 213164, ChinaThe existence and multiplicity of positive solutions are established for second-order periodic boundary value problem. Our results are based on the theory of a fixed point index for A-proper semilinear operators defined on cones due to Cremins. Our approach is different in essence from other papers and the main results of this paper are also new.http://dx.doi.org/10.1155/2012/725646
spellingShingle Feng Wang
Fang Zhang
Fuli Wang
The Existence and Multiplicity of Positive Solutions for Second-Order Periodic Boundary Value Problem
Journal of Function Spaces and Applications
title The Existence and Multiplicity of Positive Solutions for Second-Order Periodic Boundary Value Problem
title_full The Existence and Multiplicity of Positive Solutions for Second-Order Periodic Boundary Value Problem
title_fullStr The Existence and Multiplicity of Positive Solutions for Second-Order Periodic Boundary Value Problem
title_full_unstemmed The Existence and Multiplicity of Positive Solutions for Second-Order Periodic Boundary Value Problem
title_short The Existence and Multiplicity of Positive Solutions for Second-Order Periodic Boundary Value Problem
title_sort existence and multiplicity of positive solutions for second order periodic boundary value problem
url http://dx.doi.org/10.1155/2012/725646
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