In this paper, we present the Green's functions for a second-order linear differential equation with three-point boundary conditions. We give exact expressions of the solutions for the linear three-point boundary problems by the Green's functions. As applications, we study uniqueness and iteration of the solutions for a nonlinear singular second-order… (More)
In this article, we study the existence of solutions for nonlinear impulsive problems. We show the existence of classical solutions by using variational methods.