摘要

The existence of at least two positive solutions is presented for the singular second-order boundary value problem
{1/p(t) (p(t)x'(t))' + Phi(t)f(t,x(t),p(t)x'(t)) = 0, 0 < t < 1,
lim(t -> 0) p(t)x' (t) = 0, x(1) = 0,
by using the fixed point index, where f may be singular at x = 0 and px' = 0.