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Positive Solutions of Some Singular Sub-linear Three-point Boundary Value Problems

Keywords: Singular three-point boundary value problem,Positive solution,Lower and upper solutions,Comparison theorem

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This paper investigates the existence of positive solutions for second-order singular sub-linear three-point boundary value problems. A necessary and sufficient condition for the existence of C 0,1] as well as C10,1] positive solutions is given by constructing lower and upper solutions and with the comparison theorem. The nonlinearity f(t,x) may be singular at , \ t=0 and /or t=1 .


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