Existence of positive solutions for some boundary value problem with parameter

Abstract

In this paper, the existence of positive solutions is studied for some boundary value problem with parameter. In our discussion, the nonlinearity can change sign, while prevenient literatures need the nonlinearity is non-negative. We combine the method of upper and lower solution and the method of topology degree and then obtain the existence of positive solutions for the boundary value problem. In addition, concrete interval of parameter is given.