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 |
| Summary: | <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> |
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| ISSN: | 1687-2762 1687-2770 |