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Positive solutions of nonlinear three-point boundary-value problems
Authors:Ruyun Ma  Haiyan Wang
Institution:a Research Center for Science, Xi'an Jiaotong University, Xi'an 710049, PR China
b Department of Mathematics, Northwest Normal University, Lanzhou 730070, Gansu, PR China
c Department of Integrative Studies, Arizona State University West, PO Box 37100, Phoenix, AZ 85069, USA
Abstract:Let aC0,1], bC(0,1],(−∞,0]). Let φ1(t) be the unique solution of the linear boundary value problem
u″(t)+a(t)u′(t)+b(t)u(t)=0,t∈(0,1),u(0)=0,u(1)=1.
Keywords:Second-order multi-point BVP  Positive solution  Cone  Fixed point
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