  This paper is devoted to prove the existence of positive solutions of a
second order differential equation with a nonhomogeneous Dirichlet conditions
given by a parameter dependence integral. The studied problem is a nonlocal
perturbation of the Dirichlet conditions by considering a homogeneous
Dirichlet-type condition at one extreme of the interval and an integral
operator on the other one. We obtain the expression of the Green's function
related to the linear part of the equation and characterize its constant sign.
Such property will be fundamental to deduce the existence of solutions of the
nonlinear problem. The results hold from fixed point theory applied to related
operators defined on suitable cones.
