Multiple positive solutions for a class of m-point boundary value problems

Using a specially constructed cone and the fixed point index theory, this work shows the existence of multiple positive solutions for a class of m-point Sturm–Liouville boundary value problems for second-order differential equations λx″+g(t)f(t,x)=0λx″+g(t)f(t,x)=0, where λ>0λ>0 and g(t)g(t) is LpLp-integrable.