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By using the quadrature method, we study the exact number of positive solutions of the following quasilinear boundary value problem :  where p (y) = |y|p-2 y, y ϵ R, p > 1, λ > 0 and ƒ : R+ ( R+ is of class C2 and p-convex function.

Exact number of positive solutions for quasilinear boundary value problems with p-convex nonlinearity