For the Sturm-Liouville boundary value problem (p(t)u'(t))' + lambda f(t, u(t)) = 0, 0 < t < 1, alpha(1)u(0) - beta(1)p(0)u'(0) = 0, (BVP) alpha(2)u(1) + beta(2)p(1)u'(1) = 0, where lambda > 0, we shall use a fixed point theorem in a cone to obtain the existence of positive solutions for lambda on a suitable interval.
