Positive Solutions of Singular Fourth Order Four Point Boundary Value Problems with $p$-Laplacian Operator
Received:June 25, 2007  Revised:March 08, 2008
Key Words: $p$-Laplacian   singular boundary value problem   positive solution   cone.  
Fund Project:the National Natural Science Foundation of China (No.10671181).
Author NameAffiliation
CHEN Yong Peng Department of Mathematics, Zhengzhou University, Henan 450052, China 
QI Shi Shuo Department of Mathematics, Zhengzhou University, Henan 450052, China 
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Abstract:
      In this paper, we consider the existence of positive solutions for the singular fourth-order four point boundary value problem with $p$-Laplacian operator. By using the fixed point theorem of cone expansion and compression, the existence of multiple positive solutions is obtained.
Citation:
DOI:10.3770/j.issn:1000-341X.2009.04.012
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