Positive solutions for a system of fourth-order differential equations with integral boundary conditions and two parameters

摘要

In this work, we investigate a class of nonlinear fourth-order systems with coupledintegral boundary conditions and two parameters. We give the Green’s functions for the system withboundary conditions, and then obtain some useful properties of the Green’s functions. By using theGuo–Krasnosel’skii fixed point theorem and the Green’s functions, some sufficient conditions forthe existence of positive solutions are presented. As applications, two examples are presented toillustrate the application of our main results.