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We study the existence, multiplicity, and stability of positive solutions to: We consider the case when the nonlinearity f is of concave-convex type having exactly one inflection point. We establish that f should be appropriately concave ( by establishing conditions on f ) to allow multiple positive solutions. For any λ > 0, we obtain the exact number of positive solutions as a function of f (t)/t and establish how the positive solution curves to the above problem change. Also, we give examplesdoi:10.14232/ejqtde.2001.1.4 fatcat:ueetlrta45bc5awafnro7vuq34