Multiple positive solutions for boundary value problems of second-order differential equations system on the half-line

In this paper, we study the existence of positive solutions for boundary value problems of second-order differential equations system with integral boundary condition on the half-line. By using a three functionals fixed point theorem in a cone and a fixed point theorem in a cone due to Avery-Peterson, we show the existence of at least two and three monotone increasing positive solutions with suitable growth conditions imposed on the nonlinear terms

Positive solutions for discrete Sturm-Liouville-like four-point p-Laplacian boundary value problems *

Abstract: We consider the existence of positive solutions for a class of discrete second-order four-point boundary value problem with p-Laplacian. Using the well known Krasnosel'skii's fixed point theorem, some new existence criteria for positive solutions of the boundary value problem are presented