We study the multiplicity of positive solutions for the second-order three-
point boundary value problem
u " + lambda h(t)f(u) = 0, t is an element of (0,1),
u(0)= 0, alpha u(eta) = (1),
where eta : 0 < eta < 1, 0 < alpha < 1/eta. The metods employed Leray-Schau
der degree and upper and lower solutions. reserved.