The Existence of Three Positive Solutions for a Class of Nonlinear Three-Point Boundary Value Problem with $p$-Laplacian
Received:April 03, 2007  Revised:October 30, 2007
Key Words: $p$-Laplacian operator   positive solution   three-point singular boundary value problem   fixed-point theorem.  
Fund Project:the Tutorial Scientific Research Program Foundation of Education Department of Gansu Province (Nos.0710-04; 0810-03).
Author NameAffiliation
LI Xiang Feng Department of Mathematics, Longdong University, Gansu 745000, China 
XU Hong Wu Department of Mathematics, Longdong University, Gansu 745000, China 
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Abstract:
      This paper deals with the existence of three positive solutions for a class of nonlinear singular three-point boundary value problem with $p$-Laplacian. By means of a fixed point theorem duo to Leggett and Williams, sufficient condition for the existence of at least three positive solutions to the nonlinear singular three-point boundary value problem is established.
Citation:
DOI:10.3770/j.issn:1000-341X.2009.03.016
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