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By using the Leggett-Williams fixed-point theorem, a series of Sturm-Liouville type boundary value problems are studied. We impose sufficient conditions on f and get the existence of at least three positive solutions. The interesting point is that the boundary conditions are non-linear. © 2012 Zhao and Ge; licensee Springer.

Existence results of a kind of Sturm-Liouville type singular boundary value problem with non-linear boundary conditions