Existence of Positive Solutions of Nonlinear Second-Order Periodic Boundary Value Problems
<p>Abstract</p> <p>This paper is devoted to study the existence of periodic solutions of the second-order equation <inline-formula> <graphic file="1687-2770-2010-626054-i1.gif"/></inline-formula>, where <inline-formula> <graphic file="1687-...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2010/626054 |
| _version_ | 1818882024549646336 |
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| author | Ma Ruyun Gao Chenghua Chen Ruipeng |
| author_facet | Ma Ruyun Gao Chenghua Chen Ruipeng |
| author_sort | Ma Ruyun |
| collection | DOAJ |
| description | <p>Abstract</p> <p>This paper is devoted to study the existence of periodic solutions of the second-order equation <inline-formula> <graphic file="1687-2770-2010-626054-i1.gif"/></inline-formula>, where <inline-formula> <graphic file="1687-2770-2010-626054-i2.gif"/></inline-formula> is a Carathéodory function, by combining a new expression of Green's function together with Dancer's global bifurcation theorem. Our main results are sharp and improve the main results by Torres (2003).</p> |
| first_indexed | 2024-12-19T15:11:11Z |
| format | Article |
| id | doaj.art-2d83e79f99c0418e86c5774f7c7fd2b3 |
| institution | Directory Open Access Journal |
| issn | 1687-2762 1687-2770 |
| language | English |
| last_indexed | 2024-12-19T15:11:11Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-2d83e79f99c0418e86c5774f7c7fd2b32022-12-21T20:16:18ZengSpringerOpenBoundary Value Problems1687-27621687-27702010-01-0120101626054Existence of Positive Solutions of Nonlinear Second-Order Periodic Boundary Value ProblemsMa RuyunGao ChenghuaChen Ruipeng<p>Abstract</p> <p>This paper is devoted to study the existence of periodic solutions of the second-order equation <inline-formula> <graphic file="1687-2770-2010-626054-i1.gif"/></inline-formula>, where <inline-formula> <graphic file="1687-2770-2010-626054-i2.gif"/></inline-formula> is a Carathéodory function, by combining a new expression of Green's function together with Dancer's global bifurcation theorem. Our main results are sharp and improve the main results by Torres (2003).</p>http://www.boundaryvalueproblems.com/content/2010/626054 |
| spellingShingle | Ma Ruyun Gao Chenghua Chen Ruipeng Existence of Positive Solutions of Nonlinear Second-Order Periodic Boundary Value Problems Boundary Value Problems |
| title | Existence of Positive Solutions of Nonlinear Second-Order Periodic Boundary Value Problems |
| title_full | Existence of Positive Solutions of Nonlinear Second-Order Periodic Boundary Value Problems |
| title_fullStr | Existence of Positive Solutions of Nonlinear Second-Order Periodic Boundary Value Problems |
| title_full_unstemmed | Existence of Positive Solutions of Nonlinear Second-Order Periodic Boundary Value Problems |
| title_short | Existence of Positive Solutions of Nonlinear Second-Order Periodic Boundary Value Problems |
| title_sort | existence of positive solutions of nonlinear second order periodic boundary value problems |
| url | http://www.boundaryvalueproblems.com/content/2010/626054 |
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