Exact Number of Positive Solutions for a Class of Two-Point Boundary Value Problems

This paper considers the existence of positive solutions of the boundary value problems and , where and is a positive parameter. Using a time-map approach, we obtain the exact number of positive solutions in different cases.

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Main Authors: Yanmin Niu, Baoqiang Yan
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/589483
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author Yanmin Niu
Baoqiang Yan
author_facet Yanmin Niu
Baoqiang Yan
author_sort Yanmin Niu
collection DOAJ
description This paper considers the existence of positive solutions of the boundary value problems and , where and is a positive parameter. Using a time-map approach, we obtain the exact number of positive solutions in different cases.
format Article
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institution Kabale University
issn 1110-757X
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language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-12789b748c0943f4ae21c12a0e26f2882025-02-03T01:13:05ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/589483589483Exact Number of Positive Solutions for a Class of Two-Point Boundary Value ProblemsYanmin Niu0Baoqiang Yan1School of Mathematical Sciences, Shandong Normal University, Jinan 250014, ChinaSchool of Mathematical Sciences, Shandong Normal University, Jinan 250014, ChinaThis paper considers the existence of positive solutions of the boundary value problems and , where and is a positive parameter. Using a time-map approach, we obtain the exact number of positive solutions in different cases.http://dx.doi.org/10.1155/2013/589483
spellingShingle Yanmin Niu
Baoqiang Yan
Exact Number of Positive Solutions for a Class of Two-Point Boundary Value Problems
Journal of Applied Mathematics
title Exact Number of Positive Solutions for a Class of Two-Point Boundary Value Problems
title_full Exact Number of Positive Solutions for a Class of Two-Point Boundary Value Problems
title_fullStr Exact Number of Positive Solutions for a Class of Two-Point Boundary Value Problems
title_full_unstemmed Exact Number of Positive Solutions for a Class of Two-Point Boundary Value Problems
title_short Exact Number of Positive Solutions for a Class of Two-Point Boundary Value Problems
title_sort exact number of positive solutions for a class of two point boundary value problems
url http://dx.doi.org/10.1155/2013/589483
work_keys_str_mv AT yanminniu exactnumberofpositivesolutionsforaclassoftwopointboundaryvalueproblems
AT baoqiangyan exactnumberofpositivesolutionsforaclassoftwopointboundaryvalueproblems