We consider the boundary value problem for a class of second-order quasilinear ordinary differential equations v"(x)-x~2v'(x)-μF(v(x))=0 (1) with the conditions v(0)=1, v(x)=O(1) as x→∞, (2) where μ>0 is a constant and F(v) is a function satisfying the following conditions.
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