Successive iteration and positive solutions for a third-order multipoint generalized right-focal boundary value problem with pp-Laplacian

In this paper, we study the existence of positive solutions for the one-dimensional pp-Laplacian differential equation, (ϕp(u″))′(t)=q(t)f(t,u(t),u′(t),u″(t)),0≤t≤1, subject to the following multipoint generalized right-focal boundary condition, u(0)=∑i=1mαiu(ξi),u′(η)=0,u″(1)=∑i=1nβiu″(θi), by applying a monotone iterative method. We not only obtain the existence of positive solutions for the problem, but also establish iterative schemes for approximating the solutions.