Positive solutions to a new kind Sturm-Liouville-like four-point boundary value problem

In this paper, we considered the following four-point boundary value problemx″(t)+h(t)f(t,x(t),x′(t))=0,00. By applying fixed-point theorems, we obtain a variety of existence results. In particular, our four-point boundary condition is a new kind Sturm-Liouville-like boundary condition, which has rarely been considered up to now.