Nonlinear differential equations with perturbed Dirichlet integral boundary conditions

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