Multiplicity of Positive Periodic Solutions of Singular Semipositone Third-Order Boundary Value Problems
<p>Abstract</p> <p>We establish the existence of multiple positive solutions for a singular nonlinear third-order periodic boundary value problem. We are mainly interested in the semipositone case. The proof relies on a nonlinear alternative principle of Leray-Schauder, together wi...
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| Format: | Article |
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SpringerOpen
2008-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2008/574842 |
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doaj-f532a314b8914d899d4918d03a4affdb2020-11-24T21:17:07ZengSpringerOpenBoundary Value Problems1687-27621687-27702008-01-0120081574842Multiplicity of Positive Periodic Solutions of Singular Semipositone Third-Order Boundary Value ProblemsSun Yigang<p>Abstract</p> <p>We establish the existence of multiple positive solutions for a singular nonlinear third-order periodic boundary value problem. We are mainly interested in the semipositone case. The proof relies on a nonlinear alternative principle of Leray-Schauder, together with a truncation technique.</p>http://www.boundaryvalueproblems.com/content/2008/574842 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Sun Yigang |
| spellingShingle |
Sun Yigang Multiplicity of Positive Periodic Solutions of Singular Semipositone Third-Order Boundary Value Problems Boundary Value Problems |
| author_facet |
Sun Yigang |
| author_sort |
Sun Yigang |
| title |
Multiplicity of Positive Periodic Solutions of Singular Semipositone Third-Order Boundary Value Problems |
| title_short |
Multiplicity of Positive Periodic Solutions of Singular Semipositone Third-Order Boundary Value Problems |
| title_full |
Multiplicity of Positive Periodic Solutions of Singular Semipositone Third-Order Boundary Value Problems |
| title_fullStr |
Multiplicity of Positive Periodic Solutions of Singular Semipositone Third-Order Boundary Value Problems |
| title_full_unstemmed |
Multiplicity of Positive Periodic Solutions of Singular Semipositone Third-Order Boundary Value Problems |
| title_sort |
multiplicity of positive periodic solutions of singular semipositone third-order boundary value problems |
| publisher |
SpringerOpen |
| series |
Boundary Value Problems |
| issn |
1687-2762 1687-2770 |
| publishDate |
2008-01-01 |
| description |
<p>Abstract</p> <p>We establish the existence of multiple positive solutions for a singular nonlinear third-order periodic boundary value problem. We are mainly interested in the semipositone case. The proof relies on a nonlinear alternative principle of Leray-Schauder, together with a truncation technique.</p> |
| url |
http://www.boundaryvalueproblems.com/content/2008/574842 |
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AT sunyigang multiplicityofpositiveperiodicsolutionsofsingularsemipositonethirdorderboundaryvalueproblems |
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1726014053449465856 |