Iterative Positive Solutions for Multi-Point Boundary Value Problems with One-Dimensional p-Laplacian

We investigate a class of quasi-linear multi-point boundary value problem with one-dimensional p-Laplacian. By applying monotone iterative technique, some sufficient conditions for the existence of twin positive solutions are established, they are the maximal and minimal solutions of the above problem. At the same time, we also establish iterative schemes for approximating this twin solutions, which start off a known simple linear function. In addition, we also consider the multiplicity of iterative solutions for the above problem. In the end, an example is worked out to illustrate our main results.