Multiple Positive Solutions of Boundary Value Problems for Systems of Nonlinear Third-Order Differential Equations
Received:March 04, 2012  Revised:September 03, 2012
Key Word: boundary value problem   multiple positive solutions   fixed-point theorem.  
Fund ProjectL: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).
Author NameAffiliation
Yaohong LI Laboratory of Intelligent Information Processing, Suzhou University, Anhui 234000, P. R. China 
Xiaoyan ZHANG School of Mathematics, Shandong University, Shandong 250100, P. R. China 
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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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