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《Journal of Qufu Normal University(Natural Science)》 2010-04
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The Existence of Positive Solutions for Three-point Nonlinear Boundary Value Problem

LUAN Shi-xia,1972-,female,PDh,Associate Preffesor;E-mail:sxluan@mail.qfnu.edu.cn.LUAN Shi-xia①,ZHANG Zhong-hua②(① School of Mathematical Sciences,Qufu Normal University;② The School Attached to Qufu Normal University,273165,Qufu,Shandong,PRC)  
In this paper,we consider three-point nonlinear boundary value problem for the equation(φ(u′))′+a(t)f(u)=0,0t1,where φ:R→R is an increasing homeomorphism and homomorphism with φ(0)=0.We show the existence of positive solutions and countably many positive solutions by fixed point theorems in a cone.
【Fund】: Supported by NSFC(10771117) NSFS(Q2007A02 ZR2009AL016)
【CateGory Index】: O175.8
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