| Multiple Positive Solutions of Boundary Value Problems for Systems of Nonlinear Third-Order Differential Equations |
| Received:March 04, 2012 Revised:September 03, 2012 |
| Key Words:
boundary value problem multiple positive solutions fixed-point theorem.
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| Fund Project:Supported by the Shandong Provincial Natural Science Foundation (Grant No.ZR2012AQ007), Independent Innovation Foundation of Shandong University (Grant No.2012TS020) and the Research Platform Topic of Suzhou University (Grant Nos.2012YKF33; 2011YKF13). |
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| Abstract: |
| In this paper, we consider boundary value problems for systems of nonlinear third-order differential equations. By applying the fixed point theorems of cone expansion and compression of norm type and Leggett-Williams fixed point theorem, the existence of multiple positive solutions is obtained. As application, we give some examples to demonstrate our results. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2013.03.006 |
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