Existence And Multiplicity Of Positive Solutions Of Nonhomogeneous Differential Equations

In this paper ,we will disscus the existence and multiplicity of the positive solutions for the problemwhere λ > 0,f(x) ∈ F = C~α[0, 1]\{0}.Through thoroughly classfying f(x),we gain some exact conditions for the existence and multiplicity of positive solutions for the problem .