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In this thesis we consider the boundary value problem (*) u''+((n-1)/r)u'+f(u)=0,(r > 0, n > 1), u'(0)=0, lim(r->infinity)u(r)=0, where f satisfies a number of appropriate conditions. Under these assumptions, a theorem states that for every nonnegative integer m, (*) has a solution u(r) with exactly m zeros in (0,infinity). A proof, using a scaling argument and a shooting method is
