Existence and iteration of positive solutions for a generalized right-focal boundary value problem with p-Laplacian operator

Abstract

AbstractIn the paper, we obtain the existence of positive solutions and establish a corresponding iterative scheme for the following third-order generalized right-focal boundary value problem with p-Laplacian operator:(ϕp(u″))′(t)=q(t)f(t,u(t)),0⩽t⩽1,u(0)=∑i=1mαiu(ξi),u′(η)=0,u″(1)=∑i=1nβiu″(θi). The main tool is the monotone iterative technique