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In this paper, we present the Green's functions for a second-order linear differential equation with three-point boundary conditions. We give exact expressions of the solutions for the linear three-point boundary problems by the Green's functions. As applications, we study uniqueness and iteration of the solutions for a nonlinear singular second-order… (More)
By applying the monotone iterative technique, we obtain the existence and uniqueness of C 1 [0, 1] positive solutions in some set for singular boundary value problems of second order ordinary differential equations with integral boundary conditions.