In this dissetation, we seek positive solutions for the n^th order ordinary differential equation, y^(n)=f(x,y), satisfying the right focal boundary conditions, y^(i)(0)=y^(n-2)(p)=y^(n-1)(1)=0, i=0,...,n-3, where p is a fixed value between 1/2 and 1, and where f(x,y) has certain singulrities at x=0, at y=0, and possibly at y=infinity.

Mathematics.

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