Positive solutions of some singular m-point boundary value problems at non-resonance

This paper investigates the existence of positive solutions for second-order singular m-point boundary value problems at non-resonance. A necessary and sufficient condition for the existence of C[0, 1] as well as C1[0, 1] positive solutions is given by constructing lower and upper solutions and with the maximal theorem. Our nonlinearity f(t, x) may be singular at x,t = 0 and/or t = 1.