Singular Nonlinear Boundary Value Problems Arising in Boundary Layer Theory

The singular nonlinear boundary value problem ¡ 1yt2 9 t ~w0 t.syl /y , 0Ft-1, w t. w t. ¢w9 0.w 0.syl, w 1. s0, arises in the boundary layer theory. We prove in this paper that the problem has a unique positive solution for each fixed l G0 and there is no positive solution for lFy1r2.