Positive Solutions To Boundary Value Problems With P-Laplace Operator

This paper investigates the existence of solutions for a p-Laplace differential sys-tem integral and multi-point boundary value problems and integral and multi-pointmixed boundary value problems.Our dissertation is divided into three chapters.In Chapter1, the historical situation and main results are introduced in this paper.In Chapter2, we investigate a one-dimensional p-Laplace differential equationwith integral boundary value problems and obtain the existence of a monotone positivesolution for a one-dimensional p-Laplace differential equation with integral boundaryvalue problems via a monotone iterative method.In Chapter3, we investigates a fourth-order differential equation integral andmulti-point boundary value problems with a p-Laplace operator. We give the existenceof one or more positive solutions via the fixed point index theory.