The singular second-order -point boundary value problem
is considered, with , , , , , , , , and . The existence of positive solutions of problem (1) is obtained by means of fixed-point index theory under some conditions concerning the first eigenvalue with respect to the relevant linear operators. The existence theorems generalize the results by R. Ma and H. Wang [J. Math. Anal. Appl. 279, 216–227 (2003; Zbl 1028.34014)] and R. Ma [Acta Math. Sin. 46, No. 4, 785–794 (2003; Zbl 1056.34015)].