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 |
| Language: | English |
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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 |
| _version_ | 1811294597982191616 |
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| author | Sun Yigang |
| author_facet | Sun Yigang |
| author_sort | Sun Yigang |
| collection | DOAJ |
| 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> |
| first_indexed | 2024-04-13T05:19:47Z |
| format | Article |
| id | doaj.art-f532a314b8914d899d4918d03a4affdb |
| institution | Directory Open Access Journal |
| issn | 1687-2762 1687-2770 |
| language | English |
| last_indexed | 2024-04-13T05:19:47Z |
| publishDate | 2008-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-f532a314b8914d899d4918d03a4affdb2022-12-22T03:00:47ZengSpringerOpenBoundary 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 |
| spellingShingle | Sun Yigang Multiplicity of Positive Periodic Solutions of Singular Semipositone Third-Order Boundary Value Problems Boundary Value Problems |
| title | 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_short | 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 |
| url | http://www.boundaryvalueproblems.com/content/2008/574842 |
| work_keys_str_mv | AT sunyigang multiplicityofpositiveperiodicsolutionsofsingularsemipositonethirdorderboundaryvalueproblems |