On the Existence of Multiple Positive Solutions for Second-order Differential Equations with Integral Boundary Value Problems

The existence of multiple positive solutions for a class of second-order differential equations with integral boundary conditions is studied.First, by using the fixed point theorem on the cone and the given hypothesis conditions, it is proved that this class of equations have two different non-zero solutions;secondly, the existence of three positive solutions to this class of equation is proved by using the Leggett-Williams fixed point theorem in combination with certain assumed conditions.